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PUNCT iajs-2022 4 1 31 31 NUM iajs-2022 5 1 ( ( PUNCT iajs-2022 5 2 3 3 NUM iajs-2022 5 3 ) ) PUNCT iajs-2022 5 4 2018 2018 NUM iajs-2022 5 5 study study VERB iajs-2022 5 6 the the DET iajs-2022 5 7 shapes shape NOUN iajs-2022 5 8 of of ADP iajs-2022 5 9 nuclei nucleus NOUN iajs-2022 5 10 for for ADP iajs-2022 5 11 heavy heavy ADJ iajs-2022 5 12 elements element NOUN iajs-2022 5 13 with with ADP iajs-2022 5 14 mass mass ADJ iajs-2022 5 15 number number NOUN iajs-2022 5 16 equal equal ADJ iajs-2022 5 17 to to ADP iajs-2022 5 18 ( ( PUNCT iajs-2022 5 19 226≀a≀252 226≀a≀252 NOUN iajs-2022 5 20 ) ) PUNCT iajs-2022 5 21 through through ADP iajs-2022 5 22 determination determination NOUN iajs-2022 5 23 of of ADP iajs-2022 5 24 deformation deformation NOUN iajs-2022 5 25 parameters parameter NOUN iajs-2022 5 26 for for ADP iajs-2022 5 27 two two NUM iajs-2022 5 28 elements element NOUN iajs-2022 5 29 ( ( PUNCT iajs-2022 5 30 u&cf u&cf NOUN iajs-2022 5 31 ) ) PUNCT iajs-2022 5 32 haider haider PROPN iajs-2022 5 33 a. a. NOUN iajs-2022 5 34 zghaier zghaier PROPN iajs-2022 5 35 council council PROPN iajs-2022 5 36 of of ADP iajs-2022 5 37 ministers ministers PROPN iajs-2022 5 38 / / SYM iajs-2022 5 39 iraqi iraqi ADJ iajs-2022 5 40 radioactive radioactive ADJ iajs-2022 5 41 sources source NOUN iajs-2022 5 42 regulatory regulatory ADJ iajs-2022 5 43 authority authority PROPN iajs-2022 5 44 sameera sameera PROPN iajs-2022 5 45 a. a. NOUN iajs-2022 5 46 ebrahiem ebrahiem PROPN iajs-2022 5 47 hadeel hadeel PROPN iajs-2022 5 48 abdul_jabbar abdul_jabbar PROPN iajs-2022 5 49 department department PROPN iajs-2022 5 50 of of ADP iajs-2022 5 51 physics physics PROPN iajs-2022 5 52 , , PUNCT iajs-2022 5 53 collage collage NOUN iajs-2022 5 54 of of ADP iajs-2022 5 55 education education PROPN iajs-2022 5 56 ibn ibn PROPN iajs-2022 5 57 al al PROPN iajs-2022 5 58 haithem haithem PROPN iajs-2022 5 59 , , PUNCT iajs-2022 5 60 university university NOUN iajs-2022 5 61 of of ADP iajs-2022 5 62 baghdad baghdad PROPN iajs-2022 5 63 , , PUNCT iajs-2022 5 64 iraq iraq PROPN iajs-2022 5 65 , , PUNCT iajs-2022 5 66 baghdad baghdad PROPN iajs-2022 5 67 samaeb85@gamil.com samaeb85@gamil.com PROPN iajs-2022 5 68 article article NOUN iajs-2022 5 69 history history NOUN iajs-2022 5 70 : : PUNCT iajs-2022 5 71 received receive VERB iajs-2022 5 72 1 1 NUM iajs-2022 5 73 october october PROPN iajs-2022 5 74 2018 2018 NUM iajs-2022 5 75 , , PUNCT iajs-2022 5 76 accepted accept VERB iajs-2022 5 77 10 10 NUM iajs-2022 5 78 october october PROPN iajs-2022 5 79 2018 2018 NUM iajs-2022 5 80 , , PUNCT iajs-2022 5 81 published publish VERB iajs-2022 5 82 december december PROPN iajs-2022 5 83 2018 2018 NUM iajs-2022 5 84 abstract abstract ADV iajs-2022 5 85 the the DET iajs-2022 5 86 current current ADJ iajs-2022 5 87 paper paper NOUN iajs-2022 5 88 focuses focus VERB iajs-2022 5 89 on on ADP iajs-2022 5 90 the the DET iajs-2022 5 91 studying study VERB iajs-2022 5 92 the the DET iajs-2022 5 93 forms form NOUN iajs-2022 5 94 of of ADP iajs-2022 5 95 ( ( PUNCT iajs-2022 5 96 even even ADV iajs-2022 5 97 - - PUNCT iajs-2022 5 98 even even ADV iajs-2022 5 99 ) ) PUNCT iajs-2022 5 100 nuclei nucleus NOUN iajs-2022 5 101 for for ADP iajs-2022 5 102 the the DET iajs-2022 5 103 heavy heavy ADJ iajs-2022 5 104 elements element NOUN iajs-2022 5 105 with with ADP iajs-2022 5 106 mass mass ADJ iajs-2022 5 107 numbers number NOUN iajs-2022 5 108 in in ADP iajs-2022 5 109 the the DET iajs-2022 5 110 range range NOUN iajs-2022 5 111 from from ADP iajs-2022 5 112 ( ( PUNCT iajs-2022 5 113 a=226 a=226 NUM iajs-2022 5 114 252 252 NUM iajs-2022 5 115 ) ) PUNCT iajs-2022 5 116 for for ADP iajs-2022 5 117 u u NOUN iajs-2022 5 118 and and CCONJ iajs-2022 5 119 cf cf NOUN iajs-2022 5 120 isotopes isotope NOUN iajs-2022 5 121 . . PUNCT iajs-2022 6 1 this this DET iajs-2022 6 2 work work NOUN iajs-2022 6 3 will will AUX iajs-2022 6 4 consist consist VERB iajs-2022 6 5 of of ADP iajs-2022 6 6 studying study VERB iajs-2022 6 7 deformation deformation NOUN iajs-2022 6 8 parameters parameter NOUN iajs-2022 6 9 𝛽 𝛽 PRON iajs-2022 6 10 which which PRON iajs-2022 6 11 is be AUX iajs-2022 6 12 deduced deduce VERB iajs-2022 6 13 from from ADP iajs-2022 6 14 the the DET iajs-2022 6 15 " " PUNCT iajs-2022 6 16 reduced reduced ADJ iajs-2022 6 17 electric electric ADJ iajs-2022 6 18 transition transition NOUN iajs-2022 6 19 probability probability NOUN iajs-2022 6 20 " " PUNCT iajs-2022 6 21 𝐡 𝐡 PROPN iajs-2022 6 22 𝐸2 𝐸2 PROPN iajs-2022 6 23 ↑ ↑ PROPN iajs-2022 6 24 which which PRON iajs-2022 6 25 is be AUX iajs-2022 6 26 in in ADP iajs-2022 6 27 its its PRON iajs-2022 6 28 turn turn NOUN iajs-2022 6 29 dependent dependent ADJ iajs-2022 6 30 on on ADP iajs-2022 6 31 the the DET iajs-2022 6 32 first first ADJ iajs-2022 6 33 excited excited ADJ iajs-2022 6 34 state state NOUN iajs-2022 6 35 2 2 NUM iajs-2022 6 36 . . PUNCT iajs-2022 7 1 the the DET iajs-2022 7 2 " " PUNCT iajs-2022 7 3 intrinsic intrinsic ADJ iajs-2022 7 4 electric electric ADJ iajs-2022 7 5 quadrupole quadrupole NOUN iajs-2022 7 6 moments moment NOUN iajs-2022 7 7 " " PUNCT iajs-2022 7 8 ( ( PUNCT iajs-2022 7 9 non non ADJ iajs-2022 7 10 - - ADJ iajs-2022 7 11 spherical spherical ADJ iajs-2022 7 12 charge charge NOUN iajs-2022 7 13 distribution distribution NOUN iajs-2022 7 14 ) ) PUNCT iajs-2022 7 15 𝑄 𝑄 NOUN iajs-2022 7 16 were be AUX iajs-2022 7 17 also also ADV iajs-2022 7 18 calculated calculate VERB iajs-2022 7 19 . . PUNCT iajs-2022 8 1 in in ADP iajs-2022 8 2 addition addition NOUN iajs-2022 8 3 to to ADP iajs-2022 8 4 that that SCONJ iajs-2022 8 5 the the DET iajs-2022 8 6 roots root NOUN iajs-2022 8 7 mean mean VERB iajs-2022 8 8 square square ADJ iajs-2022 8 9 radii radius NOUN iajs-2022 8 10 ( ( PUNCT iajs-2022 8 11 isotope isotope NOUN iajs-2022 8 12 shift shift NOUN iajs-2022 8 13 ) ) PUNCT iajs-2022 9 1 π‘Ÿ π‘Ÿ NOUN iajs-2022 9 2 / / SYM iajs-2022 9 3 are be AUX iajs-2022 9 4 accounted account VERB iajs-2022 9 5 for for ADP iajs-2022 9 6 in in ADP iajs-2022 9 7 order order NOUN iajs-2022 9 8 to to PART iajs-2022 9 9 compare compare VERB iajs-2022 9 10 them they PRON iajs-2022 9 11 with with ADP iajs-2022 9 12 the the DET iajs-2022 9 13 theoretical theoretical ADJ iajs-2022 9 14 results result NOUN iajs-2022 9 15 . . PUNCT iajs-2022 10 1 the the DET iajs-2022 10 2 difference difference NOUN iajs-2022 10 3 and and CCONJ iajs-2022 10 4 variation variation NOUN iajs-2022 10 5 in in ADP iajs-2022 10 6 shapes shape NOUN iajs-2022 10 7 of of ADP iajs-2022 10 8 nuclei nucleus NOUN iajs-2022 10 9 for for ADP iajs-2022 10 10 the the DET iajs-2022 10 11 selected select VERB iajs-2022 10 12 isotopes isotope NOUN iajs-2022 10 13 were be AUX iajs-2022 10 14 detected detect VERB iajs-2022 10 15 using use VERB iajs-2022 10 16 3d 3d NOUN iajs-2022 10 17 - - PUNCT iajs-2022 10 18 plots plot NOUN iajs-2022 10 19 for for ADP iajs-2022 10 20 them they PRON iajs-2022 10 21 ( ( PUNCT iajs-2022 10 22 with with ADP iajs-2022 10 23 symmetric symmetric ADJ iajs-2022 10 24 axes axis NOUN iajs-2022 10 25 ) ) PUNCT iajs-2022 10 26 ; ; PUNCT iajs-2022 10 27 a a DET iajs-2022 10 28 2d 2d NOUN iajs-2022 10 29 - - PUNCT iajs-2022 10 30 plot plot NOUN iajs-2022 10 31 were be AUX iajs-2022 10 32 also also ADV iajs-2022 10 33 used use VERB iajs-2022 10 34 for for SCONJ iajs-2022 10 35 each each DET iajs-2022 10 36 isotope isotope NOUN iajs-2022 10 37 to to PART iajs-2022 10 38 discriminate discriminate VERB iajs-2022 10 39 between between ADP iajs-2022 10 40 them they PRON iajs-2022 10 41 by by ADP iajs-2022 10 42 the the DET iajs-2022 10 43 values value NOUN iajs-2022 10 44 of of ADP iajs-2022 10 45 semi semi ADJ iajs-2022 10 46 - - ADJ iajs-2022 10 47 major major ADJ iajs-2022 10 48 is be AUX iajs-2022 10 49 equal equal ADJ iajs-2022 10 50 ( ( PUNCT iajs-2022 10 51 a a PRON iajs-2022 10 52 ) ) PUNCT iajs-2022 10 53 axes axis NOUN iajs-2022 10 54 and and CCONJ iajs-2022 10 55 semi semi ADJ iajs-2022 10 56 minor minor ADJ iajs-2022 10 57 is be AUX iajs-2022 10 58 equal equal ADJ iajs-2022 10 59 ( ( PUNCT iajs-2022 10 60 b b NOUN iajs-2022 10 61 ) ) PUNCT iajs-2022 10 62 axes axis NOUN iajs-2022 10 63 . . PUNCT iajs-2022 11 1 keyword keyword NOUN iajs-2022 11 2 : : PUNCT iajs-2022 11 3 nuclear nuclear ADJ iajs-2022 11 4 shape shape NOUN iajs-2022 11 5 , , PUNCT iajs-2022 11 6 isotopes isotope NOUN iajs-2022 11 7 , , PUNCT iajs-2022 11 8 electric electric ADJ iajs-2022 11 9 transition transition NOUN iajs-2022 11 10 , , PUNCT iajs-2022 11 11 semi semi ADV iajs-2022 11 12 minor minor ADJ iajs-2022 11 13 , , PUNCT iajs-2022 11 14 deformation deformation NOUN iajs-2022 11 15 . . PUNCT iajs-2022 12 1 1 1 X iajs-2022 12 2 . . X iajs-2022 12 3 introduction introduction NOUN iajs-2022 12 4 the the DET iajs-2022 12 5 state state NOUN iajs-2022 12 6 of of ADP iajs-2022 12 7 the the DET iajs-2022 12 8 atomic atomic NOUN iajs-2022 12 9 of of ADP iajs-2022 12 10 nucleus nucleus PROPN iajs-2022 12 11 usually usually ADV iajs-2022 12 12 reflects reflect VERB iajs-2022 12 13 the the DET iajs-2022 12 14 structure structure NOUN iajs-2022 12 15 of of ADP iajs-2022 12 16 the the DET iajs-2022 12 17 protons proton NOUN iajs-2022 12 18 and and CCONJ iajs-2022 12 19 neutrons neutron NOUN iajs-2022 12 20 shells shell NOUN iajs-2022 12 21 from from ADP iajs-2022 12 22 which which PRON iajs-2022 12 23 it it PRON iajs-2022 12 24 is be AUX iajs-2022 12 25 shaped shape VERB iajs-2022 12 26 . . PUNCT iajs-2022 13 1 in in ADP iajs-2022 13 2 the the DET iajs-2022 13 3 case case NOUN iajs-2022 13 4 when when SCONJ iajs-2022 13 5 the the DET iajs-2022 13 6 shells shell NOUN iajs-2022 13 7 are be AUX iajs-2022 13 8 completely completely ADV iajs-2022 13 9 filled fill VERB iajs-2022 13 10 , , PUNCT iajs-2022 13 11 we we PRON iajs-2022 13 12 attain attain VERB iajs-2022 13 13 a a DET iajs-2022 13 14 " " PUNCT iajs-2022 13 15 magic magic ADJ iajs-2022 13 16 " " PUNCT iajs-2022 13 17 nucleus nucleus NOUN iajs-2022 13 18 , , PUNCT iajs-2022 13 19 which which PRON iajs-2022 13 20 is be AUX iajs-2022 13 21 spherical spherical ADJ iajs-2022 13 22 in in ADP iajs-2022 13 23 form form NOUN iajs-2022 13 24 . . PUNCT iajs-2022 14 1 most most ADJ iajs-2022 14 2 nuclei nucleus NOUN iajs-2022 14 3 have have VERB iajs-2022 14 4 a a DET iajs-2022 14 5 tendency tendency NOUN iajs-2022 14 6 to to PART iajs-2022 14 7 be be AUX iajs-2022 14 8 deformation deformation NOUN iajs-2022 14 9 on on ADP iajs-2022 14 10 the the DET iajs-2022 14 11 basis basis NOUN iajs-2022 14 12 that that SCONJ iajs-2022 14 13 the the DET iajs-2022 14 14 shells shell NOUN iajs-2022 14 15 are be AUX iajs-2022 14 16 partially partially ADV iajs-2022 14 17 filled fill VERB iajs-2022 14 18 . . PUNCT iajs-2022 15 1 much much ADJ iajs-2022 15 2 of of ADP iajs-2022 15 3 the the DET iajs-2022 15 4 shapes shape NOUN iajs-2022 15 5 we we PRON iajs-2022 15 6 encountered encounter VERB iajs-2022 15 7 are be AUX iajs-2022 15 8 either either CCONJ iajs-2022 15 9 elongated elongate VERB iajs-2022 15 10 ( ( PUNCT iajs-2022 15 11 prolate prolate ADJ iajs-2022 15 12 ) ) PUNCT iajs-2022 15 13 or or CCONJ iajs-2022 15 14 flattened flatten VERB iajs-2022 15 15 ( ( PUNCT iajs-2022 15 16 oblate oblate NOUN iajs-2022 15 17 ) ) PUNCT iajs-2022 15 18 . . PUNCT iajs-2022 16 1 these these DET iajs-2022 16 2 shapes shape NOUN iajs-2022 16 3 can can AUX iajs-2022 16 4 be be AUX iajs-2022 16 5 modified modify VERB iajs-2022 16 6 between between ADP iajs-2022 16 7 adjacent adjacent ADJ iajs-2022 16 8 nucleus nucleus NOUN iajs-2022 16 9 by by ADP iajs-2022 16 10 capturing capture VERB iajs-2022 16 11 or or CCONJ iajs-2022 16 12 give give VERB iajs-2022 16 13 - - PUNCT iajs-2022 16 14 away away NOUN iajs-2022 16 15 a a DET iajs-2022 16 16 proton proton NOUN iajs-2022 16 17 or or CCONJ iajs-2022 16 18 neutron neutron NOUN iajs-2022 16 19 . . PUNCT iajs-2022 17 1 in in ADP iajs-2022 17 2 some some DET iajs-2022 17 3 cases case NOUN iajs-2022 17 4 , , PUNCT iajs-2022 17 5 it it PRON iajs-2022 17 6 is be AUX iajs-2022 17 7 sufficient sufficient ADJ iajs-2022 17 8 re re NOUN iajs-2022 17 9 - - VERB iajs-2022 17 10 configure configure VERB iajs-2022 17 11 the the DET iajs-2022 17 12 protons proton NOUN iajs-2022 17 13 or or CCONJ iajs-2022 17 14 neutrons neutron NOUN iajs-2022 17 15 within within ADP iajs-2022 17 16 the the DET iajs-2022 17 17 same same ADJ iajs-2022 17 18 nucleus nucleus NOUN iajs-2022 17 19 to to PART iajs-2022 17 20 change change VERB iajs-2022 17 21 its its PRON iajs-2022 17 22 shape shape NOUN iajs-2022 17 23 . . PUNCT iajs-2022 18 1 the the DET iajs-2022 18 2 same same ADJ iajs-2022 18 3 nucleus nucleus NOUN iajs-2022 18 4 can can AUX iajs-2022 18 5 therefore therefore ADV iajs-2022 18 6 assume assume VERB iajs-2022 18 7 different different ADJ iajs-2022 18 8 shapes shape NOUN iajs-2022 18 9 corresponding correspond VERB iajs-2022 18 10 to to ADP iajs-2022 18 11 states state NOUN iajs-2022 18 12 of of ADP iajs-2022 18 13 different different ADJ iajs-2022 18 14 energy energy NOUN iajs-2022 18 15 . . PUNCT iajs-2022 19 1 2.theoretical 2.theoretical NUM iajs-2022 19 2 2.1 2.1 NUM iajs-2022 19 3 . . PUNCT iajs-2022 20 1 nuclear nuclear ADJ iajs-2022 20 2 shape shape NOUN iajs-2022 20 3 in in ADP iajs-2022 20 4 the the DET iajs-2022 20 5 stable stable ADJ iajs-2022 20 6 state state NOUN iajs-2022 20 7 , , PUNCT iajs-2022 20 8 the the DET iajs-2022 20 9 natural natural ADJ iajs-2022 20 10 shape shape NOUN iajs-2022 20 11 of of ADP iajs-2022 20 12 nuclei nucleus NOUN iajs-2022 20 13 is be AUX iajs-2022 20 14 spherical spherical ADJ iajs-2022 20 15 . . PUNCT iajs-2022 21 1 this this DET iajs-2022 21 2 configuration configuration NOUN iajs-2022 21 3 is be AUX iajs-2022 21 4 the the DET iajs-2022 21 5 optimum optimum ADJ iajs-2022 21 6 shape shape NOUN iajs-2022 21 7 to to PART iajs-2022 21 8 minimize minimize VERB iajs-2022 21 9 the the DET iajs-2022 21 10 surface surface NOUN iajs-2022 21 11 energy energy NOUN iajs-2022 21 12 . . PUNCT iajs-2022 22 1 nevertheless nevertheless ADV iajs-2022 22 2 , , PUNCT iajs-2022 22 3 some some DET iajs-2022 22 4 small small ADJ iajs-2022 22 5 deformations deformation NOUN iajs-2022 22 6 can can AUX iajs-2022 22 7 be be AUX iajs-2022 22 8 physics physics NOUN iajs-2022 22 9 | | ADV iajs-2022 22 10 11 11 NUM iajs-2022 22 11 ibn ibn PROPN iajs-2022 22 12 al al PROPN iajs-2022 22 13 - - PUNCT iajs-2022 22 14 haitham haitham PROPN iajs-2022 22 15 jour jour X iajs-2022 22 16 . . PROPN iajs-2022 23 1 for for ADP iajs-2022 23 2 pure pure ADJ iajs-2022 23 3 & & CCONJ iajs-2022 23 4 appl appl PROPN iajs-2022 23 5 . . PUNCT iajs-2022 24 1 sci sci PROPN iajs-2022 24 2 . . PROPN iajs-2022 24 3 ihjpas ihjpas PROPN iajs-2022 24 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2022 24 5 31.3.2022 31.3.2022 NOUN iajs-2022 24 6 vol vol NOUN iajs-2022 24 7 . . PUNCT iajs-2022 25 1 31 31 NUM iajs-2022 26 1 ( ( PUNCT iajs-2022 26 2 3 3 NUM iajs-2022 26 3 ) ) PUNCT iajs-2022 26 4 2018 2018 NUM iajs-2022 26 5 observed observe VERB iajs-2022 26 6 , , PUNCT iajs-2022 26 7 for for ADP iajs-2022 26 8 instance instance NOUN iajs-2022 26 9 , , PUNCT iajs-2022 26 10 in in ADP iajs-2022 26 11 area150 area150 PROPN iajs-2022 26 12 𝐴 𝐴 PROPN iajs-2022 26 13 190 190 NUM iajs-2022 26 14 . . PUNCT iajs-2022 27 1 the the DET iajs-2022 27 2 shape shape NOUN iajs-2022 27 3 irregularities irregularity NOUN iajs-2022 27 4 can can AUX iajs-2022 27 5 be be AUX iajs-2022 27 6 presented present VERB iajs-2022 27 7 using use VERB iajs-2022 27 8 the the DET iajs-2022 27 9 ratio ratio NOUN iajs-2022 27 10 [ [ X iajs-2022 27 11 1 1 NUM iajs-2022 27 12 ] ] X iajs-2022 27 13 : : PUNCT iajs-2022 27 14 𝛿 𝛿 PROPN iajs-2022 27 15 βˆ†π‘… βˆ†π‘… PROPN iajs-2022 27 16 𝑅 𝑅 PROPN iajs-2022 27 17 1 1 NUM iajs-2022 27 18 𝑅 𝑅 PROPN iajs-2022 27 19 is be AUX iajs-2022 27 20 radius radius ADJ iajs-2022 27 21 average average NOUN iajs-2022 27 22 of of ADP iajs-2022 27 23 the the DET iajs-2022 27 24 nu nu PROPN iajs-2022 27 25 βˆ†π‘… βˆ†π‘… PROPN iajs-2022 27 26 is be AUX iajs-2022 27 27 the the DET iajs-2022 27 28 differences difference NOUN iajs-2022 27 29 between between ADP iajs-2022 27 30 semiminor semiminor NOUN iajs-2022 27 31 and and CCONJ iajs-2022 27 32 semimajor semimajor NOUN iajs-2022 27 33 axes axis NOUN iajs-2022 27 34 . . PUNCT iajs-2022 28 1 βˆ†π‘… βˆ†π‘… INTJ iajs-2022 29 1 𝑏 𝑏 PROPN iajs-2022 29 2 π‘Ž π‘Ž NOUN iajs-2022 29 3 2 2 NUM iajs-2022 29 4 but but CCONJ iajs-2022 29 5 the the DET iajs-2022 29 6 sphere sphere NOUN iajs-2022 29 7 βˆ†π‘… βˆ†π‘… PROPN iajs-2022 29 8 is be AUX iajs-2022 29 9 equal equal ADJ iajs-2022 29 10 zero zero NUM iajs-2022 29 11 . . PUNCT iajs-2022 30 1 2.2 2.2 NUM iajs-2022 30 2 . . PUNCT iajs-2022 30 3 nuclear nuclear ADJ iajs-2022 30 4 surface surface NOUN iajs-2022 30 5 deformations deformation NOUN iajs-2022 30 6 the the DET iajs-2022 30 7 collective collective ADJ iajs-2022 30 8 motion motion NOUN iajs-2022 30 9 can can AUX iajs-2022 30 10 be be AUX iajs-2022 30 11 clarified clarify VERB iajs-2022 30 12 as as ADP iajs-2022 30 13 vibrations vibration NOUN iajs-2022 30 14 and and CCONJ iajs-2022 30 15 rotations rotation NOUN iajs-2022 30 16 of of ADP iajs-2022 30 17 nuclear nuclear ADJ iajs-2022 30 18 surface surface NOUN iajs-2022 30 19 of of ADP iajs-2022 30 20 the the DET iajs-2022 30 21 ( ( PUNCT iajs-2022 30 22 collective collective ADJ iajs-2022 30 23 model model NOUN iajs-2022 30 24 ) ) PUNCT iajs-2022 30 25 that that PRON iajs-2022 30 26 was be AUX iajs-2022 30 27 initially initially ADV iajs-2022 30 28 suggested suggest VERB iajs-2022 30 29 by by ADP iajs-2022 30 30 bohr bohr PROPN iajs-2022 30 31 and and CCONJ iajs-2022 30 32 mottelson mottelson NOUN iajs-2022 31 1 [ [ X iajs-2022 31 2 2 2 NUM iajs-2022 31 3 ] ] PUNCT iajs-2022 31 4 . . PUNCT iajs-2022 32 1 the the DET iajs-2022 32 2 quadrupole quadrupole PROPN iajs-2022 32 3 deformation deformation NOUN iajs-2022 32 4 parameter parameter NOUN iajs-2022 32 5 𝛽 𝛽 PROPN iajs-2022 32 6 is be AUX iajs-2022 32 7 related relate VERB iajs-2022 32 8 to to ADP iajs-2022 32 9 the the DET iajs-2022 32 10 spheroid spheroid NOUN iajs-2022 32 11 axes axis NOUN iajs-2022 32 12 [ [ X iajs-2022 32 13 3 3 NUM iajs-2022 32 14 ] ] X iajs-2022 32 15 : : PUNCT iajs-2022 32 16 𝛽 𝛽 NOUN iajs-2022 32 17 4 4 NUM iajs-2022 32 18 3 3 NUM iajs-2022 32 19 πœ‹ πœ‹ SYM iajs-2022 32 20 5 5 NUM iajs-2022 32 21 βˆ†π‘… βˆ†π‘… PROPN iajs-2022 32 22 𝑅 𝑅 PROPN iajs-2022 32 23 1.06 1.06 NUM iajs-2022 32 24 βˆ†π‘… βˆ†π‘… PROPN iajs-2022 32 25 𝑅 𝑅 PROPN iajs-2022 32 26 3 3 NUM iajs-2022 32 27 where where SCONJ iajs-2022 32 28 : : PUNCT iajs-2022 32 29 the the DET iajs-2022 32 30 average average ADJ iajs-2022 32 31 radius𝑅 radius𝑅 PROPN iajs-2022 32 32 𝑅 𝑅 PROPN iajs-2022 32 33 𝐴 𝐴 PROPN iajs-2022 32 34 / / PUNCT iajs-2022 32 35 . . PUNCT iajs-2022 33 1 βˆ†r βˆ†r NOUN iajs-2022 33 2 : : PUNCT iajs-2022 33 3 is be AUX iajs-2022 33 4 the the DET iajs-2022 33 5 difference difference NOUN iajs-2022 33 6 between between ADP iajs-2022 33 7 both both PRON iajs-2022 33 8 of of ADP iajs-2022 33 9 the the DET iajs-2022 33 10 semimajor semimajor NOUN iajs-2022 33 11 and and CCONJ iajs-2022 33 12 minor minor ADJ iajs-2022 33 13 axes axis NOUN iajs-2022 33 14 . . PUNCT iajs-2022 34 1 as as ADV iajs-2022 34 2 long long ADV iajs-2022 34 3 as as SCONJ iajs-2022 34 4 the the DET iajs-2022 34 5 value value NOUN iajs-2022 34 6 of of ADP iajs-2022 34 7 𝛽 𝛽 NOUN iajs-2022 34 8 is be AUX iajs-2022 34 9 larger large ADJ iajs-2022 34 10 , , PUNCT iajs-2022 34 11 the the DET iajs-2022 34 12 nucleus nucleus NOUN iajs-2022 34 13 becomes become VERB iajs-2022 34 14 more more ADV iajs-2022 34 15 deformed deform VERB iajs-2022 34 16 . . PUNCT iajs-2022 35 1 2.3 2.3 NUM iajs-2022 35 2 . . PUNCT iajs-2022 36 1 the the DET iajs-2022 36 2 root root NOUN iajs-2022 36 3 mean mean VERB iajs-2022 36 4 square square ADJ iajs-2022 36 5 charge charge NOUN iajs-2022 36 6 radius radius NOUN iajs-2022 36 7 ( ( PUNCT iajs-2022 36 8 isotopes isotope NOUN iajs-2022 36 9 shift shift VERB iajs-2022 36 10 ) ) PUNCT iajs-2022 36 11 the the DET iajs-2022 36 12 stated state VERB iajs-2022 36 13 efficacy efficacy NOUN iajs-2022 36 14 of of ADP iajs-2022 36 15 nuclear nuclear ADJ iajs-2022 36 16 structure structure NOUN iajs-2022 36 17 , , PUNCT iajs-2022 36 18 ( ( PUNCT iajs-2022 36 19 e.g. e.g. ADV iajs-2022 36 20 shell shell ADJ iajs-2022 36 21 closures closure NOUN iajs-2022 36 22 and and CCONJ iajs-2022 36 23 initiation initiation NOUN iajs-2022 36 24 of of ADP iajs-2022 36 25 deformity deformity NOUN iajs-2022 36 26 ) ) PUNCT iajs-2022 36 27 , , PUNCT iajs-2022 36 28 can can AUX iajs-2022 36 29 be be AUX iajs-2022 36 30 referred refer VERB iajs-2022 36 31 to to ADP iajs-2022 36 32 by by ADP iajs-2022 36 33 one one NUM iajs-2022 36 34 key key ADJ iajs-2022 36 35 nuclear nuclear ADJ iajs-2022 36 36 information information NOUN iajs-2022 36 37 which which PRON iajs-2022 36 38 can can AUX iajs-2022 36 39 be be AUX iajs-2022 36 40 represented represent VERB iajs-2022 36 41 by by ADP iajs-2022 36 42 the the DET iajs-2022 36 43 root root NOUN iajs-2022 36 44 mean mean PROPN iajs-2022 36 45 square square PROPN iajs-2022 36 46 ( ( PUNCT iajs-2022 36 47 rms rm NOUN iajs-2022 36 48 ) ) PUNCT iajs-2022 36 49 of of ADP iajs-2022 36 50 nuclear nuclear ADJ iajs-2022 36 51 charge charge NOUN iajs-2022 36 52 radius radius NOUN iajs-2022 36 53 𝑅 𝑅 PROPN iajs-2022 36 54 〈 〈 PROPN iajs-2022 36 55 π‘Ÿ π‘Ÿ PART iajs-2022 36 56 βŒͺ βŒͺ NOUN iajs-2022 36 57 / / PUNCT iajs-2022 36 58 with with ADP iajs-2022 36 59 one one NUM iajs-2022 36 60 of of ADP iajs-2022 36 61 nuclear nuclear ADJ iajs-2022 36 62 ground ground NOUN iajs-2022 36 63 - - PUNCT iajs-2022 36 64 state state NOUN iajs-2022 36 65 characteristics characteristic NOUN iajs-2022 36 66 [ [ X iajs-2022 36 67 4 4 NUM iajs-2022 36 68 ] ] PUNCT iajs-2022 36 69 . . PUNCT iajs-2022 37 1 the the DET iajs-2022 37 2 root root NOUN iajs-2022 37 3 mean mean NOUN iajs-2022 37 4 square square PROPN iajs-2022 37 5 ( ( PUNCT iajs-2022 37 6 rms rm NOUN iajs-2022 37 7 ) ) PUNCT iajs-2022 37 8 of of ADP iajs-2022 37 9 nuclear nuclear ADJ iajs-2022 37 10 charge charge NOUN iajs-2022 37 11 radius radius NOUN iajs-2022 37 12 𝑅 𝑅 PROPN iajs-2022 37 13 〈 〈 PROPN iajs-2022 37 14 π‘Ÿ π‘Ÿ PRON iajs-2022 37 15 βŒͺ βŒͺ NOUN iajs-2022 37 16 / / PUNCT iajs-2022 37 17 , , PUNCT iajs-2022 37 18 with with ADP iajs-2022 37 19 one one NUM iajs-2022 37 20 of of ADP iajs-2022 37 21 nuclear nuclear ADJ iajs-2022 37 22 ground ground NOUN iajs-2022 37 23 - - PUNCT iajs-2022 37 24 state state NOUN iajs-2022 37 25 properties property NOUN iajs-2022 37 26 , , PUNCT iajs-2022 37 27 is be AUX iajs-2022 37 28 considered consider VERB iajs-2022 37 29 the the DET iajs-2022 37 30 key key ADJ iajs-2022 37 31 nuclear nuclear ADJ iajs-2022 37 32 materials material NOUN iajs-2022 37 33 information information NOUN iajs-2022 37 34 which which PRON iajs-2022 37 35 refers refer VERB iajs-2022 37 36 to to ADP iajs-2022 37 37 stated state VERB iajs-2022 37 38 nuclear nuclear ADJ iajs-2022 37 39 structure structure NOUN iajs-2022 37 40 effectiveness effectiveness NOUN iajs-2022 37 41 , , PUNCT iajs-2022 37 42 for for ADP iajs-2022 37 43 instance instance NOUN iajs-2022 37 44 : : PUNCT iajs-2022 37 45 shell shell VERB iajs-2022 37 46 closures closure NOUN iajs-2022 37 47 and and CCONJ iajs-2022 37 48 a a DET iajs-2022 37 49 deformation deformation NOUN iajs-2022 37 50 starting starting NOUN iajs-2022 37 51 . . PUNCT iajs-2022 38 1 [ [ X iajs-2022 38 2 4].this 4].this NUM iajs-2022 38 3 ( ( PUNCT iajs-2022 38 4 rms rm NOUN iajs-2022 38 5 ) ) PUNCT iajs-2022 38 6 radius radius NOUN iajs-2022 38 7 〈 〈 NOUN iajs-2022 38 8 π‘Ÿ π‘Ÿ NOUN iajs-2022 38 9 βŒͺ βŒͺ NOUN iajs-2022 38 10 / / PUNCT iajs-2022 38 11 can can AUX iajs-2022 38 12 be be AUX iajs-2022 38 13 directly directly ADV iajs-2022 38 14 driven drive VERB iajs-2022 38 15 from from ADP iajs-2022 38 16 scattered scatter VERB iajs-2022 38 17 electrons electron NOUN iajs-2022 38 18 distribution distribution NOUN iajs-2022 38 19 ; ; PUNCT iajs-2022 38 20 for for ADP iajs-2022 38 21 a a DET iajs-2022 38 22 uniformly uniformly ADV iajs-2022 38 23 charged charge VERB iajs-2022 38 24 spherical spherical ADJ iajs-2022 38 25 shape shape NOUN iajs-2022 38 26 , , PUNCT iajs-2022 38 27 the the DET iajs-2022 38 28 radius radius NOUN iajs-2022 38 29 of of ADP iajs-2022 38 30 square square ADJ iajs-2022 38 31 charge charge NOUN iajs-2022 38 32 distribution distribution NOUN iajs-2022 38 33 is be AUX iajs-2022 38 34 〈 〈 ADP iajs-2022 38 35 π‘Ÿ π‘Ÿ X iajs-2022 38 36 βŒͺ βŒͺ NOUN iajs-2022 38 37 [ [ X iajs-2022 38 38 5 5 NUM iajs-2022 38 39 ] ] PUNCT iajs-2022 38 40 : : PUNCT iajs-2022 38 41 〈 〈 ADP iajs-2022 38 42 π‘Ÿ π‘Ÿ PRON iajs-2022 38 43 βŒͺ βŒͺ NOUN iajs-2022 38 44 3 3 NUM iajs-2022 38 45 5 5 NUM iajs-2022 38 46 𝑅 𝑅 PROPN iajs-2022 38 47 3 3 NUM iajs-2022 38 48 5 5 NUM iajs-2022 38 49 𝑅 𝑅 PROPN iajs-2022 38 50 𝐴 𝐴 PROPN iajs-2022 38 51 / / SYM iajs-2022 38 52 100 100 NUM iajs-2022 38 53 4 4 NUM iajs-2022 38 54 where where SCONJ iajs-2022 38 55 : : PUNCT iajs-2022 38 56 𝐴 𝐴 PROPN iajs-2022 38 57 is be AUX iajs-2022 38 58 mass mass ADJ iajs-2022 38 59 number number NOUN iajs-2022 38 60 , , PUNCT iajs-2022 38 61 𝑅 𝑅 PROPN iajs-2022 38 62 is be AUX iajs-2022 38 63 the the DET iajs-2022 38 64 radius radius NOUN iajs-2022 38 65 of of ADP iajs-2022 38 66 the the DET iajs-2022 38 67 sphere sphere NOUN iajs-2022 38 68 , , PUNCT iajs-2022 38 69 and and CCONJ iajs-2022 38 70 𝑅 𝑅 PROPN iajs-2022 38 71 𝑅 𝑅 PROPN iajs-2022 38 72 𝐴 𝐴 PROPN iajs-2022 38 73 / / PUNCT iajs-2022 38 74 . . PUNCT iajs-2022 39 1 2.4 2.4 NUM iajs-2022 39 2 . . X iajs-2022 39 3 electric electric ADJ iajs-2022 39 4 quadrupole quadrupole PROPN iajs-2022 39 5 moment moment VERB iajs-2022 39 6 the the DET iajs-2022 39 7 electric electric ADJ iajs-2022 39 8 multi multi ADJ iajs-2022 39 9 - - ADJ iajs-2022 39 10 pole pole ADJ iajs-2022 39 11 moments moment NOUN iajs-2022 39 12 can can AUX iajs-2022 39 13 fairly fairly ADV iajs-2022 39 14 represent represent VERB iajs-2022 39 15 the the DET iajs-2022 39 16 spatial spatial ADJ iajs-2022 39 17 distribution distribution NOUN iajs-2022 39 18 and and CCONJ iajs-2022 39 19 charge charge NOUN iajs-2022 39 20 allocation allocation NOUN iajs-2022 39 21 in in ADP iajs-2022 39 22 a a DET iajs-2022 39 23 nucleus nucleus NOUN iajs-2022 39 24 in in ADP iajs-2022 39 25 a a DET iajs-2022 39 26 straight straight ADJ iajs-2022 39 27 forward forward ADJ iajs-2022 39 28 application application NOUN iajs-2022 39 29 of of ADP iajs-2022 39 30 classical classical ADJ iajs-2022 39 31 electrostatic electrostatic ADJ iajs-2022 39 32 principles principle NOUN iajs-2022 39 33 [ [ X iajs-2022 39 34 6 6 NUM iajs-2022 39 35 ] ] PUNCT iajs-2022 39 36 . . PUNCT iajs-2022 40 1 constant constant ADJ iajs-2022 40 2 quadruple quadruple NOUN iajs-2022 40 3 moments moment NOUN iajs-2022 40 4 can can AUX iajs-2022 40 5 be be AUX iajs-2022 40 6 measured measure VERB iajs-2022 40 7 experimentally experimentally ADV iajs-2022 40 8 for for ADP iajs-2022 40 9 a a DET iajs-2022 40 10 number number NOUN iajs-2022 40 11 of of ADP iajs-2022 40 12 nuclei nucleus NOUN iajs-2022 40 13 . . PUNCT iajs-2022 41 1 a a DET iajs-2022 41 2 symmetrical symmetrical ADJ iajs-2022 41 3 axis axis ADJ iajs-2022 41 4 oval oval NOUN iajs-2022 41 5 shape shape NOUN iajs-2022 41 6 can can AUX iajs-2022 41 7 be be AUX iajs-2022 41 8 anticipated anticipate VERB iajs-2022 41 9 for for ADP iajs-2022 41 10 these these DET iajs-2022 41 11 nuclei nucleus NOUN iajs-2022 41 12 . . PUNCT iajs-2022 42 1 this this DET iajs-2022 42 2 classic classic ADJ iajs-2022 42 3 configuration configuration NOUN iajs-2022 42 4 has have AUX iajs-2022 42 5 guided guide VERB iajs-2022 42 6 the the DET iajs-2022 42 7 way way NOUN iajs-2022 42 8 for for ADP iajs-2022 42 9 the the DET iajs-2022 42 10 definition definition NOUN iajs-2022 42 11 of of ADP iajs-2022 42 12 intrinsic intrinsic ADJ iajs-2022 42 13 quadruple quadruple NOUN iajs-2022 42 14 moment moment NOUN iajs-2022 42 15 as as ADP iajs-2022 42 16 in in ADP iajs-2022 42 17 the the DET iajs-2022 42 18 equation equation NOUN iajs-2022 42 19 ( ( PUNCT iajs-2022 42 20 5 5 NUM iajs-2022 42 21 ) ) PUNCT iajs-2022 43 1 [ [ X iajs-2022 43 2 7 7 NUM iajs-2022 43 3 ] ] SYM iajs-2022 43 4 : : PUNCT iajs-2022 43 5 physics physics NOUN iajs-2022 43 6 | | ADV iajs-2022 43 7 12 12 NUM iajs-2022 43 8 ibn ibn PROPN iajs-2022 43 9 al al PROPN iajs-2022 43 10 - - PUNCT iajs-2022 43 11 haitham haitham PROPN iajs-2022 43 12 jour jour X iajs-2022 43 13 . . PROPN iajs-2022 43 14 for for ADP iajs-2022 43 15 pure pure ADJ iajs-2022 43 16 & & CCONJ iajs-2022 43 17 appl appl PROPN iajs-2022 43 18 . . PUNCT iajs-2022 44 1 sci sci PROPN iajs-2022 44 2 . . PROPN iajs-2022 44 3 ihjpas ihjpas PROPN iajs-2022 44 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2022 44 5 31.3.2022 31.3.2022 NOUN iajs-2022 44 6 vol vol NOUN iajs-2022 44 7 . . PUNCT iajs-2022 45 1 31 31 NUM iajs-2022 46 1 ( ( PUNCT iajs-2022 46 2 3 3 NUM iajs-2022 46 3 ) ) SYM iajs-2022 46 4 2018 2018 NUM iajs-2022 46 5 𝑄 𝑄 PROPN iajs-2022 46 6 𝑑 𝑑 VERB iajs-2022 46 7 𝜌 𝜌 ADP iajs-2022 46 8 π‘Ÿ π‘Ÿ NOUN iajs-2022 46 9 3𝑧 3𝑧 NUM iajs-2022 46 10 π‘Ÿ π‘Ÿ NOUN iajs-2022 46 11 5 5 NUM iajs-2022 46 12 where where SCONJ iajs-2022 46 13 : : PUNCT iajs-2022 46 14 𝜌 𝜌 ADP iajs-2022 46 15 π‘Ÿ π‘Ÿ PRON iajs-2022 46 16 is be AUX iajs-2022 46 17 proton proton NOUN iajs-2022 46 18 's 's PART iajs-2022 46 19 density density NOUN iajs-2022 46 20 of of ADP iajs-2022 46 21 radial radial ADJ iajs-2022 46 22 charge charge NOUN iajs-2022 46 23 and and CCONJ iajs-2022 46 24 π‘Ÿ π‘Ÿ PRON iajs-2022 46 25 radius radius NOUN iajs-2022 46 26 of of ADP iajs-2022 46 27 charge charge NOUN iajs-2022 46 28 , , PUNCT iajs-2022 46 29 𝑄 𝑄 PRON iajs-2022 46 30 can can AUX iajs-2022 46 31 be be AUX iajs-2022 46 32 described describe VERB iajs-2022 46 33 as as ADP iajs-2022 46 34 per per ADP iajs-2022 46 35 equation equation NOUN iajs-2022 46 36 ( ( PUNCT iajs-2022 46 37 6 6 NUM iajs-2022 46 38 ) ) PUNCT iajs-2022 46 39 , , PUNCT iajs-2022 46 40 given give VERB iajs-2022 46 41 that that SCONJ iajs-2022 46 42 it it PRON iajs-2022 46 43 is be AUX iajs-2022 46 44 calculated calculate VERB iajs-2022 46 45 for for ADP iajs-2022 46 46 a a DET iajs-2022 46 47 homogeneously homogeneously ADV iajs-2022 46 48 charged charge VERB iajs-2022 46 49 ellipsoid ellipsoid NOUN iajs-2022 46 50 , , PUNCT iajs-2022 46 51 with with ADP iajs-2022 46 52 a a DET iajs-2022 46 53 charge charge NOUN iajs-2022 46 54 ze ze NOUN iajs-2022 46 55 and and CCONJ iajs-2022 46 56 semi semi ADJ iajs-2022 46 57 - - ADJ iajs-2022 46 58 axis axis ADJ iajs-2022 46 59 ( ( PUNCT iajs-2022 46 60 a a NOUN iajs-2022 46 61 ) ) PUNCT iajs-2022 46 62 and and CCONJ iajs-2022 46 63 ( ( PUNCT iajs-2022 46 64 b b NOUN iajs-2022 46 65 ) ) PUNCT iajs-2022 46 66 with with ADP iajs-2022 46 67 later later ADJ iajs-2022 46 68 pointing pointing NOUN iajs-2022 46 69 along along ADP iajs-2022 46 70 the the DET iajs-2022 46 71 ( ( PUNCT iajs-2022 46 72 z z NOUN iajs-2022 46 73 ) ) PUNCT iajs-2022 46 74 axis axis NOUN iajs-2022 47 1 [ [ X iajs-2022 47 2 8 8 NUM iajs-2022 47 3 ] ] PUNCT iajs-2022 47 4 . . PUNCT iajs-2022 48 1 𝑄 𝑄 PRON iajs-2022 48 2 2 2 NUM iajs-2022 48 3 5 5 NUM iajs-2022 48 4 𝑍 𝑍 PROPN iajs-2022 48 5 π‘Ž π‘Ž PROPN iajs-2022 48 6 𝑏 𝑏 NOUN iajs-2022 48 7 6 6 NUM iajs-2022 48 8 if if SCONJ iajs-2022 48 9 the the DET iajs-2022 48 10 deviation deviation NOUN iajs-2022 48 11 from from ADP iajs-2022 48 12 sphericity sphericity NOUN iajs-2022 48 13 is be AUX iajs-2022 48 14 not not PART iajs-2022 48 15 very very ADV iajs-2022 48 16 large large ADJ iajs-2022 48 17 , , PUNCT iajs-2022 48 18 the the DET iajs-2022 48 19 average average ADJ iajs-2022 48 20 radius radius NOUN iajs-2022 48 21 : : PUNCT iajs-2022 48 22 𝑅 𝑅 PROPN iajs-2022 48 23 1/2 1/2 NUM iajs-2022 48 24 π‘Ž π‘Ž PROPN iajs-2022 48 25 𝑏 𝑏 NOUN iajs-2022 48 26 and and CCONJ iajs-2022 48 27 π›₯𝑅 π›₯𝑅 PROPN iajs-2022 48 28 𝑏 𝑏 PROPN iajs-2022 48 29 π‘Ž π‘Ž NOUN iajs-2022 48 30 from from ADP iajs-2022 48 31 equation equation NOUN iajs-2022 48 32 2 2 NUM iajs-2022 48 33 can can AUX iajs-2022 48 34 be be AUX iajs-2022 48 35 presented present VERB iajs-2022 48 36 and and CCONJ iajs-2022 48 37 with with ADP iajs-2022 48 38 𝛿 𝛿 PRON iajs-2022 48 39 π›₯𝑅/𝑅 π›₯𝑅/𝑅 NOUN iajs-2022 48 40 , , PUNCT iajs-2022 48 41 from from ADP iajs-2022 48 42 equation equation NOUN iajs-2022 48 43 1 1 NUM iajs-2022 48 44 , , PUNCT iajs-2022 48 45 the the DET iajs-2022 48 46 quadrupole quadrupole NOUN iajs-2022 48 47 moment moment NOUN iajs-2022 48 48 is be AUX iajs-2022 48 49 [ [ X iajs-2022 48 50 8 8 NUM iajs-2022 48 51 ] ] PUNCT iajs-2022 48 52 : : PUNCT iajs-2022 48 53 𝑄 𝑄 PROPN iajs-2022 48 54 4 4 NUM iajs-2022 48 55 5 5 NUM iajs-2022 48 56 𝑍𝑅 𝑍𝑅 PROPN iajs-2022 48 57 𝛿 𝛿 PROPN iajs-2022 48 58 7 7 NUM iajs-2022 48 59 the the DET iajs-2022 48 60 nucleus nucleus ADJ iajs-2022 48 61 quadrupole quadrupole NOUN iajs-2022 48 62 distortion distortion NOUN iajs-2022 48 63 parameter parameter NOUN iajs-2022 48 64 values value NOUN iajs-2022 48 65 Ξ΄ Ξ΄ PROPN iajs-2022 48 66 calculated calculate VERB iajs-2022 48 67 from from ADP iajs-2022 48 68 the the DET iajs-2022 48 69 equation equation NOUN iajs-2022 48 70 ( ( PUNCT iajs-2022 48 71 8) 8) NUM iajs-2022 48 72 [ [ X iajs-2022 48 73 9 9 NUM iajs-2022 48 74 ] ] SYM iajs-2022 48 75 : : PUNCT iajs-2022 48 76 𝛿 𝛿 PRON iajs-2022 48 77 0.75 0.75 NUM iajs-2022 48 78 𝑄 𝑄 PROPN iajs-2022 48 79 / / SYM iajs-2022 48 80 π‘βŒ©π‘Ÿ π‘βŒ©π‘Ÿ ADJ iajs-2022 48 81 βŒͺ βŒͺ NOUN iajs-2022 48 82 8 8 NUM iajs-2022 48 83 the the DET iajs-2022 48 84 semi semi NOUN iajs-2022 48 85 - - NOUN iajs-2022 48 86 axes axis NOUN iajs-2022 48 87 π‘Ž π‘Ž NOUN iajs-2022 48 88 and and CCONJ iajs-2022 48 89 𝑏 𝑏 PROPN iajs-2022 48 90 are be AUX iajs-2022 48 91 gained gain VERB iajs-2022 48 92 from from ADP iajs-2022 48 93 the the DET iajs-2022 48 94 two two NUM iajs-2022 48 95 following follow VERB iajs-2022 48 96 equations equation NOUN iajs-2022 48 97 ( ( PUNCT iajs-2022 48 98 9 9 NUM iajs-2022 48 99 & & CCONJ iajs-2022 48 100 10 10 NUM iajs-2022 48 101 ) ) PUNCT iajs-2022 49 1 [ [ X iajs-2022 49 2 10 10 NUM iajs-2022 49 3 ] ] PUNCT iajs-2022 49 4 . . PUNCT iajs-2022 50 1 π‘Ž π‘Ž X iajs-2022 50 2 〈 〈 NOUN iajs-2022 50 3 π‘Ÿ π‘Ÿ X iajs-2022 50 4 βŒͺ βŒͺ NOUN iajs-2022 50 5 1.66 1.66 NUM iajs-2022 50 6 2𝛿 2𝛿 NUM iajs-2022 50 7 0.9 0.9 NUM iajs-2022 50 8 9 9 NUM iajs-2022 50 9 𝑏 𝑏 NOUN iajs-2022 50 10 5βŒ©π‘Ÿ 5βŒ©π‘Ÿ NUM iajs-2022 50 11 βŒͺ βŒͺ NOUN iajs-2022 50 12 2π‘Ž 2π‘Ž NUM iajs-2022 50 13 10 10 NUM iajs-2022 50 14 2.5 2.5 NUM iajs-2022 50 15 . . PUNCT iajs-2022 51 1 quadrupole quadrupole NOUN iajs-2022 51 2 deformations deformation NOUN iajs-2022 51 3 as as ADP iajs-2022 51 4 a a DET iajs-2022 51 5 rule rule NOUN iajs-2022 51 6 of of ADP iajs-2022 51 7 thumb thumb NOUN iajs-2022 51 8 , , PUNCT iajs-2022 51 9 nuclei nucleus NOUN iajs-2022 51 10 with with ADP iajs-2022 51 11 charge charge NOUN iajs-2022 51 12 value value NOUN iajs-2022 51 13 𝑍 𝑍 NOUN iajs-2022 51 14 or or CCONJ iajs-2022 51 15 𝑁 𝑁 PROPN iajs-2022 51 16 deviating deviating NOUN iajs-2022 51 17 from from ADP iajs-2022 51 18 the the DET iajs-2022 51 19 magic magic ADJ iajs-2022 51 20 number number NOUN iajs-2022 51 21 are be AUX iajs-2022 51 22 usually usually ADV iajs-2022 51 23 deformed deform VERB iajs-2022 51 24 . . PUNCT iajs-2022 52 1 the the DET iajs-2022 52 2 most most ADV iajs-2022 52 3 abundant abundant ADJ iajs-2022 52 4 type type NOUN iajs-2022 52 5 of of ADP iajs-2022 52 6 deformation deformation NOUN iajs-2022 52 7 is be AUX iajs-2022 52 8 in in ADP iajs-2022 52 9 quadrupole quadrupole NOUN iajs-2022 52 10 . . PUNCT iajs-2022 53 1 accordingly accordingly ADV iajs-2022 53 2 , , PUNCT iajs-2022 53 3 the the DET iajs-2022 53 4 nuclei nucleus NOUN iajs-2022 53 5 shape shape NOUN iajs-2022 53 6 may may AUX iajs-2022 53 7 either either CCONJ iajs-2022 53 8 be be AUX iajs-2022 53 9 prolate prolate ADJ iajs-2022 53 10 or or CCONJ iajs-2022 53 11 oblate oblate ADJ iajs-2022 53 12 where where SCONJ iajs-2022 53 13 the the DET iajs-2022 53 14 quadrupole quadrupole NOUN iajs-2022 53 15 deformation deformation NOUN iajs-2022 53 16 has have VERB iajs-2022 53 17 one one NUM iajs-2022 53 18 symmetry symmetry NOUN iajs-2022 53 19 axis axis NOUN iajs-2022 53 20 ( ( PUNCT iajs-2022 53 21 𝑧 𝑧 NOUN iajs-2022 53 22 ) ) PUNCT iajs-2022 53 23 as as SCONJ iajs-2022 53 24 shown show VERB iajs-2022 53 25 in in ADP iajs-2022 53 26 figure figure NOUN iajs-2022 53 27 1 1 NUM iajs-2022 53 28 . . PUNCT iajs-2022 54 1 [ [ X iajs-2022 54 2 11 11 NUM iajs-2022 54 3 ] ] PUNCT iajs-2022 54 4 . . PUNCT iajs-2022 55 1 the the DET iajs-2022 55 2 shape shape NOUN iajs-2022 55 3 of of ADP iajs-2022 55 4 nuclei nucleus NOUN iajs-2022 55 5 deformation deformation NOUN iajs-2022 55 6 can can AUX iajs-2022 55 7 be be AUX iajs-2022 55 8 symmetrical symmetrical ADJ iajs-2022 55 9 , , PUNCT iajs-2022 55 10 this this PRON iajs-2022 55 11 can can AUX iajs-2022 55 12 be be AUX iajs-2022 55 13 explained explain VERB iajs-2022 55 14 by by ADP iajs-2022 55 15 deformation deformation NOUN iajs-2022 55 16 factor factor NOUN iajs-2022 55 17 𝛽 𝛽 NOUN iajs-2022 55 18 which which PRON iajs-2022 55 19 in in ADP iajs-2022 55 20 turn turn NOUN iajs-2022 55 21 associated associate VERB iajs-2022 55 22 to to ADP iajs-2022 55 23 quadrupole quadrupole NOUN iajs-2022 55 24 moment moment NOUN iajs-2022 55 25 𝑄 𝑄 PRON iajs-2022 55 26 , , PUNCT iajs-2022 55 27 this this DET iajs-2022 55 28 particular particular ADJ iajs-2022 55 29 case case NOUN iajs-2022 55 30 which which PRON iajs-2022 55 31 indicates indicate VERB iajs-2022 55 32 a a DET iajs-2022 55 33 homogeneous homogeneous ADJ iajs-2022 55 34 distribution distribution NOUN iajs-2022 55 35 of of ADP iajs-2022 55 36 charge charge NOUN iajs-2022 55 37 [ [ X iajs-2022 55 38 11,12 11,12 NUM iajs-2022 55 39 ] ] PUNCT iajs-2022 55 40 : : PUNCT iajs-2022 55 41 𝛽 𝛽 NOUN iajs-2022 55 42 √5πœ‹ √5πœ‹ NUM iajs-2022 55 43 3 3 NUM iajs-2022 55 44 𝑄 𝑄 PROPN iajs-2022 55 45 𝑍𝑅 𝑍𝑅 PROPN iajs-2022 55 46 11 11 NUM iajs-2022 55 47 where where SCONJ iajs-2022 55 48 : : PUNCT iajs-2022 55 49 𝑍 𝑍 PROPN iajs-2022 55 50 is be AUX iajs-2022 55 51 the the DET iajs-2022 55 52 atomic atomic ADJ iajs-2022 55 53 number number NOUN iajs-2022 55 54 , , PUNCT iajs-2022 55 55 𝑅 𝑅 PROPN iajs-2022 55 56 1.2 1.2 NUM iajs-2022 55 57 𝐴 𝐴 PROPN iajs-2022 55 58 / / SYM iajs-2022 55 59 fm fm PROPN iajs-2022 55 60 . . PROPN iajs-2022 56 1 and and CCONJ iajs-2022 56 2 𝛽 𝛽 NOUN iajs-2022 56 3 is be AUX iajs-2022 56 4 the the DET iajs-2022 56 5 deformation deformation NOUN iajs-2022 56 6 parameter parameter NOUN iajs-2022 56 7 and and CCONJ iajs-2022 56 8 𝛽 𝛽 NOUN iajs-2022 56 9 1 1 NUM iajs-2022 56 10 . . PUNCT iajs-2022 56 11 2.6 2.6 NUM iajs-2022 56 12 . . PUNCT iajs-2022 57 1 the the DET iajs-2022 57 2 reduced reduce VERB iajs-2022 57 3 electric electric ADJ iajs-2022 57 4 quadrupole quadrupole PROPN iajs-2022 57 5 transition transition NOUN iajs-2022 57 6 probability probability PROPN iajs-2022 57 7 π‘¬πŸ π‘¬πŸ PROPN iajs-2022 57 8 ↑ ↑ PROPN iajs-2022 57 9 in in ADP iajs-2022 57 10 isotopes isotope NOUN iajs-2022 57 11 , , PUNCT iajs-2022 57 12 the the DET iajs-2022 57 13 conversion conversion NOUN iajs-2022 57 14 between between ADP iajs-2022 57 15 different different ADJ iajs-2022 57 16 nuclear nuclear ADJ iajs-2022 57 17 states state NOUN iajs-2022 57 18 through through ADP iajs-2022 57 19 radioactive radioactive ADJ iajs-2022 57 20 electromagnetic electromagnetic ADJ iajs-2022 57 21 transformation transformation NOUN iajs-2022 57 22 is be AUX iajs-2022 57 23 the the DET iajs-2022 57 24 ideal ideal ADJ iajs-2022 57 25 way way NOUN iajs-2022 57 26 attains attain NOUN iajs-2022 57 27 stable stable ADJ iajs-2022 57 28 nuclear nuclear ADJ iajs-2022 57 29 structure structure NOUN iajs-2022 57 30 , , PUNCT iajs-2022 57 31 and and CCONJ iajs-2022 57 32 an an DET iajs-2022 57 33 opportunity opportunity NOUN iajs-2022 57 34 to to PART iajs-2022 57 35 study study VERB iajs-2022 57 36 different different ADJ iajs-2022 57 37 structure structure NOUN iajs-2022 57 38 models model NOUN iajs-2022 57 39 [ [ X iajs-2022 57 40 14 14 NUM iajs-2022 57 41 ] ] PUNCT iajs-2022 57 42 . . PUNCT iajs-2022 58 1 the the DET iajs-2022 58 2 transmission transmission NOUN iajs-2022 58 3 of of ADP iajs-2022 58 4 𝐡 𝐡 PROPN iajs-2022 58 5 𝐸2 𝐸2 PROPN iajs-2022 58 6 act act PROPN iajs-2022 58 7 as as ADP iajs-2022 58 8 a a DET iajs-2022 58 9 decisive decisive ADJ iajs-2022 58 10 part part NOUN iajs-2022 58 11 in in ADP iajs-2022 58 12 determining determine VERB iajs-2022 58 13 ; ; PUNCT iajs-2022 58 14 the the DET iajs-2022 58 15 average average ADJ iajs-2022 58 16 lifetime lifetime NOUN iajs-2022 58 17 of of ADP iajs-2022 58 18 a a DET iajs-2022 58 19 nuclear nuclear ADJ iajs-2022 58 20 state state NOUN iajs-2022 58 21 and and CCONJ iajs-2022 58 22 nuclear nuclear ADJ iajs-2022 58 23 deformation deformation NOUN iajs-2022 58 24 𝛽 𝛽 NOUN iajs-2022 58 25 . . PUNCT iajs-2022 59 1 it it PRON iajs-2022 59 2 is be AUX iajs-2022 59 3 also also ADV iajs-2022 59 4 responsible responsible ADJ iajs-2022 59 5 for for ADP iajs-2022 59 6 the the DET iajs-2022 59 7 volume volume NOUN iajs-2022 59 8 of of ADP iajs-2022 59 9 essential essential ADJ iajs-2022 59 10 electric electric ADJ iajs-2022 59 11 quadrupole quadrupole NOUN iajs-2022 59 12 moment moment NOUN iajs-2022 59 13 and and CCONJ iajs-2022 59 14 the the DET iajs-2022 59 15 energy energy NOUN iajs-2022 59 16 levels level NOUN iajs-2022 59 17 of of ADP iajs-2022 59 18 low low ADV iajs-2022 59 19 - - PUNCT iajs-2022 59 20 lying lie VERB iajs-2022 59 21 nuclei nucleus NOUN iajs-2022 59 22 . . PUNCT iajs-2022 60 1 highest high ADJ iajs-2022 60 2 moments moment NOUN iajs-2022 60 3 and and CCONJ iajs-2022 60 4 transmission transmission NOUN iajs-2022 60 5 forces force NOUN iajs-2022 60 6 of of ADP iajs-2022 60 7 quadrupole quadrupole NOUN iajs-2022 60 8 indicate indicate VERB iajs-2022 60 9 the the DET iajs-2022 60 10 participation participation NOUN iajs-2022 60 11 of of ADP iajs-2022 60 12 many many ADJ iajs-2022 60 13 nucleons nucleon NOUN iajs-2022 60 14 in in ADP iajs-2022 60 15 the the DET iajs-2022 60 16 combined combine VERB iajs-2022 60 17 effects effect NOUN iajs-2022 60 18 [ [ X iajs-2022 60 19 15 15 NUM iajs-2022 60 20 ] ] PUNCT iajs-2022 60 21 . . PUNCT iajs-2022 61 1 in in ADP iajs-2022 61 2 this this DET iajs-2022 61 3 case case NOUN iajs-2022 61 4 , , PUNCT iajs-2022 61 5 the the DET iajs-2022 61 6 probability probability NOUN iajs-2022 61 7 of of ADP iajs-2022 61 8 reduced reduce VERB iajs-2022 61 9 electric electric ADJ iajs-2022 61 10 quadrupole quadrupole PROPN iajs-2022 61 11 transition transition PROPN iajs-2022 61 12 b b PROPN iajs-2022 61 13 ( ( PUNCT iajs-2022 61 14 e2 e2 PROPN iajs-2022 61 15 ) ) PUNCT iajs-2022 61 16 ↑ ↑ NOUN iajs-2022 61 17 from from ADP iajs-2022 61 18 the the DET iajs-2022 61 19 spin spin NOUN iajs-2022 61 20 0 0 NUM iajs-2022 61 21 ground ground NOUN iajs-2022 61 22 state state NOUN iajs-2022 61 23 to to ADP iajs-2022 61 24 the the DET iajs-2022 61 25 first first ADJ iajs-2022 61 26 excited excited ADJ iajs-2022 61 27 spin spin NOUN iajs-2022 61 28 2 2 NUM iajs-2022 61 29 state state NOUN iajs-2022 61 30 is be AUX iajs-2022 61 31 specified specify VERB iajs-2022 61 32 by by ADP iajs-2022 61 33 [ [ X iajs-2022 61 34 16 16 NUM iajs-2022 61 35 ] ] X iajs-2022 61 36 : : PUNCT iajs-2022 61 37 physics physics NOUN iajs-2022 61 38 | | ADV iajs-2022 61 39 13 13 NUM iajs-2022 61 40 ibn ibn PROPN iajs-2022 61 41 al al PROPN iajs-2022 61 42 - - PUNCT iajs-2022 61 43 haitham haitham PROPN iajs-2022 61 44 jour jour X iajs-2022 61 45 . . PROPN iajs-2022 62 1 for for ADP iajs-2022 62 2 pure pure ADJ iajs-2022 62 3 & & CCONJ iajs-2022 62 4 appl appl PROPN iajs-2022 62 5 . . PUNCT iajs-2022 63 1 sci sci PROPN iajs-2022 63 2 . . PROPN iajs-2022 63 3 ihjpas ihjpas PROPN iajs-2022 63 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2022 63 5 31.3.2022 31.3.2022 NOUN iajs-2022 63 6 vol vol NOUN iajs-2022 63 7 . . PUNCT iajs-2022 64 1 31 31 NUM iajs-2022 65 1 ( ( PUNCT iajs-2022 65 2 3 3 NUM iajs-2022 65 3 ) ) SYM iajs-2022 65 4 2018 2018 NUM iajs-2022 65 5 𝐡 𝐡 NOUN iajs-2022 65 6 𝐸2 𝐸2 ADP iajs-2022 65 7 ∢ ∢ PROPN iajs-2022 65 8 0 0 NUM iajs-2022 65 9 β†’ β†’ SYM iajs-2022 65 10 2 2 NUM iajs-2022 65 11 5 5 NUM iajs-2022 65 12 16πœ‹ 16πœ‹ NOUN iajs-2022 65 13 𝑒 𝑒 PROPN iajs-2022 65 14 𝑄 𝑄 PROPN iajs-2022 65 15 12 12 NUM iajs-2022 65 16 where where SCONJ iajs-2022 65 17 : : PUNCT iajs-2022 65 18 𝐡 𝐡 PROPN iajs-2022 65 19 𝐸2 𝐸2 PROPN iajs-2022 65 20 ↑ ↑ PROPN iajs-2022 65 21 is be AUX iajs-2022 65 22 the the DET iajs-2022 65 23 reduced reduce VERB iajs-2022 65 24 electric electric ADJ iajs-2022 65 25 quadrupole quadrupole NOUN iajs-2022 65 26 transition transition NOUN iajs-2022 65 27 probability probability NOUN iajs-2022 65 28 in in ADP iajs-2022 65 29 the the DET iajs-2022 65 30 unit unit NOUN iajs-2022 65 31 of of ADP iajs-2022 65 32 𝑒 𝑒 PROPN iajs-2022 65 33 𝑏 𝑏 PROPN iajs-2022 65 34 and and CCONJ iajs-2022 65 35 𝑄 𝑄 PROPN iajs-2022 65 36 is be AUX iajs-2022 65 37 the the DET iajs-2022 65 38 intrinsic intrinsic ADJ iajs-2022 65 39 quadrupole quadrupole NOUN iajs-2022 65 40 moment moment NOUN iajs-2022 65 41 in in ADP iajs-2022 65 42 unit unit NOUN iajs-2022 65 43 of of ADP iajs-2022 65 44 barn barn PROPN iajs-2022 65 45 ( ( PUNCT iajs-2022 65 46 b b NOUN iajs-2022 65 47 ) ) PUNCT iajs-2022 65 48 . . PUNCT iajs-2022 66 1 the the DET iajs-2022 66 2 values value NOUN iajs-2022 66 3 of of ADP iajs-2022 66 4 𝐡 𝐡 PROPN iajs-2022 66 5 𝐸2 𝐸2 PROPN iajs-2022 66 6 ↑ ↑ PROPN iajs-2022 66 7 are be AUX iajs-2022 66 8 required require VERB iajs-2022 66 9 as as ADP iajs-2022 66 10 an an DET iajs-2022 66 11 experimental experimental ADJ iajs-2022 66 12 measures measure NOUN iajs-2022 66 13 independent independent ADJ iajs-2022 66 14 on on ADP iajs-2022 66 15 nuclear nuclear ADJ iajs-2022 66 16 model model NOUN iajs-2022 66 17 used use VERB iajs-2022 66 18 . . PUNCT iajs-2022 67 1 nevertheless nevertheless ADV iajs-2022 67 2 , , PUNCT iajs-2022 67 3 if if SCONJ iajs-2022 67 4 the the DET iajs-2022 67 5 model model NOUN iajs-2022 67 6 in in ADP iajs-2022 67 7 hand hand NOUN iajs-2022 67 8 believed believe VERB iajs-2022 67 9 to to PART iajs-2022 67 10 be be AUX iajs-2022 67 11 dependent dependent ADJ iajs-2022 67 12 on on ADP iajs-2022 67 13 the the DET iajs-2022 67 14 measured measured ADJ iajs-2022 67 15 quantity quantity NOUN iajs-2022 67 16 is be AUX iajs-2022 67 17 very very ADV iajs-2022 67 18 useful useful ADJ iajs-2022 67 19 and and CCONJ iajs-2022 67 20 it it PRON iajs-2022 67 21 represents represent VERB iajs-2022 67 22 the the DET iajs-2022 67 23 deformation deformation NOUN iajs-2022 67 24 parameter parameter NOUN iajs-2022 67 25 𝛽 𝛽 PROPN iajs-2022 67 26 . . PUNCT iajs-2022 68 1 if if SCONJ iajs-2022 68 2 charge charge NOUN iajs-2022 68 3 distribution distribution NOUN iajs-2022 68 4 is be AUX iajs-2022 68 5 thought think VERB iajs-2022 68 6 to to PART iajs-2022 68 7 be be AUX iajs-2022 68 8 uniform uniform ADJ iajs-2022 68 9 reaching reach VERB iajs-2022 68 10 up up ADP iajs-2022 68 11 to to ADP iajs-2022 68 12 the the DET iajs-2022 68 13 distance distance NOUN iajs-2022 68 14 𝑅 𝑅 PROPN iajs-2022 68 15 πœƒ πœƒ PROPN iajs-2022 68 16 , , PUNCT iajs-2022 68 17 πœ‘ πœ‘ NOUN iajs-2022 68 18 and and CCONJ iajs-2022 68 19 charge charge NOUN iajs-2022 68 20 value value NOUN iajs-2022 68 21 at at ADP iajs-2022 68 22 zero zero NUM iajs-2022 68 23 is be AUX iajs-2022 68 24 below below ADP iajs-2022 68 25 ( ( PUNCT iajs-2022 68 26 𝛽 𝛽 NOUN iajs-2022 68 27 ) ) PUNCT iajs-2022 68 28 can can AUX iajs-2022 68 29 be be AUX iajs-2022 68 30 associated associate VERB iajs-2022 68 31 with with ADP iajs-2022 68 32 𝐡 𝐡 PROPN iajs-2022 68 33 𝐸2 𝐸2 PROPN iajs-2022 68 34 ↑ ↑ PROPN iajs-2022 68 35 through through ADP iajs-2022 68 36 the the DET iajs-2022 68 37 equation equation NOUN iajs-2022 68 38 ( ( PUNCT iajs-2022 68 39 13 13 NUM iajs-2022 68 40 ) ) PUNCT iajs-2022 69 1 [ [ X iajs-2022 69 2 17 17 NUM iajs-2022 69 3 ] ] X iajs-2022 69 4 : : PUNCT iajs-2022 69 5 𝛽 𝛽 NOUN iajs-2022 69 6 4πœ‹ 4πœ‹ NUM iajs-2022 69 7 / / SYM iajs-2022 69 8 3𝑍𝑅 3𝑍𝑅 NUM iajs-2022 69 9 𝐡 𝐡 NOUN iajs-2022 69 10 𝐸2 𝐸2 PROPN iajs-2022 69 11 ↑/𝑒 ↑/𝑒 PROPN iajs-2022 70 1 13 13 NUM iajs-2022 70 2 𝑅 𝑅 PROPN iajs-2022 70 3 1.2 1.2 NUM iajs-2022 70 4 𝐴 𝐴 PROPN iajs-2022 70 5 fm fm NOUN iajs-2022 70 6 0.0144𝐴 0.0144𝐴 NUM iajs-2022 70 7 / / SYM iajs-2022 70 8 𝑏 𝑏 PROPN iajs-2022 70 9 14 14 NUM iajs-2022 70 10 in in ADP iajs-2022 70 11 accordance accordance NOUN iajs-2022 70 12 with with ADP iajs-2022 70 13 the the DET iajs-2022 70 14 global global ADJ iajs-2022 70 15 system system NOUN iajs-2022 70 16 , , PUNCT iajs-2022 70 17 the the DET iajs-2022 70 18 energy energy NOUN iajs-2022 70 19 acknowledgement acknowledgement NOUN iajs-2022 70 20 e e X iajs-2022 70 21 ( ( PUNCT iajs-2022 70 22 kev kev PROPN iajs-2022 70 23 ) ) PUNCT iajs-2022 70 24 of of ADP iajs-2022 70 25 the the DET iajs-2022 70 26 2 2 NUM iajs-2022 70 27 state state NOUN iajs-2022 70 28 is be AUX iajs-2022 70 29 whole whole ADJ iajs-2022 70 30 that that PRON iajs-2022 70 31 is be AUX iajs-2022 70 32 required require VERB iajs-2022 70 33 of of ADP iajs-2022 70 34 creating create VERB iajs-2022 70 35 a a DET iajs-2022 70 36 prediction prediction NOUN iajs-2022 70 37 for for ADP iajs-2022 70 38 the the DET iajs-2022 70 39 corresponding correspond VERB iajs-2022 70 40 𝐡 𝐡 PROPN iajs-2022 70 41 𝐸2 𝐸2 PROPN iajs-2022 70 42 ↑ ↑ PROPN iajs-2022 70 43 ( ( PUNCT iajs-2022 70 44 𝑒 𝑒 PROPN iajs-2022 70 45 𝑏 𝑏 PRON iajs-2022 70 46 value value NOUN iajs-2022 70 47 [ [ X iajs-2022 70 48 15 15 NUM iajs-2022 70 49 ] ] X iajs-2022 70 50 : : PUNCT iajs-2022 70 51 𝐡 𝐡 PROPN iajs-2022 70 52 𝐸2 𝐸2 PROPN iajs-2022 70 53 ↑ ↑ PROPN iajs-2022 70 54 2.6 2.6 NUM iajs-2022 70 55 𝐸 𝐸 PROPN iajs-2022 70 56 𝑍 𝑍 NOUN iajs-2022 70 57 𝐴 𝐴 NOUN iajs-2022 70 58 15 15 NUM iajs-2022 70 59 3.result 3.result NUM iajs-2022 70 60 3.1 3.1 NUM iajs-2022 70 61 . . PUNCT iajs-2022 71 1 deformity deformity NOUN iajs-2022 71 2 parameters parameter NOUN iajs-2022 71 3 𝜷𝟐 𝜷𝟐 VERB iajs-2022 71 4 the the DET iajs-2022 71 5 deformations deformation NOUN iajs-2022 71 6 factor factor NOUN iajs-2022 71 7 for for ADP iajs-2022 71 8 the the DET iajs-2022 71 9 uranium uranium NOUN iajs-2022 71 10 and and CCONJ iajs-2022 71 11 californium californium NOUN iajs-2022 71 12 isotopes isotope NOUN iajs-2022 71 13 𝛽 𝛽 NOUN iajs-2022 71 14 can can AUX iajs-2022 71 15 be be AUX iajs-2022 71 16 derived derive VERB iajs-2022 71 17 from from ADP iajs-2022 71 18 𝐡 𝐡 PROPN iajs-2022 71 19 𝐸2 𝐸2 PROPN iajs-2022 71 20 ↑ ↑ PROPN iajs-2022 71 21 ( ( PUNCT iajs-2022 71 22 miniature miniature ADJ iajs-2022 71 23 electric electric PROPN iajs-2022 71 24 transition transition NOUN iajs-2022 71 25 probability probability NOUN iajs-2022 71 26 ) ) PUNCT iajs-2022 71 27 of of ADP iajs-2022 71 28 even even ADV iajs-2022 71 29 - - PUNCT iajs-2022 71 30 even even ADV iajs-2022 71 31 nucleus nucleus NOUN iajs-2022 71 32 by by ADP iajs-2022 71 33 the the DET iajs-2022 71 34 application application NOUN iajs-2022 71 35 of of ADP iajs-2022 71 36 equation equation NOUN iajs-2022 71 37 ( ( PUNCT iajs-2022 71 38 13 13 NUM iajs-2022 71 39 ) ) PUNCT iajs-2022 71 40 . . 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PUNCT iajs-2022 73 1 the the DET iajs-2022 73 2 energy energy NOUN iajs-2022 73 3 𝐸 𝐸 NOUN iajs-2022 73 4 kev kev NOUN iajs-2022 73 5 of of ADP iajs-2022 73 6 the the DET iajs-2022 73 7 first first ADJ iajs-2022 73 8 excited excited ADJ iajs-2022 73 9 states state NOUN iajs-2022 73 10 ( ( PUNCT iajs-2022 73 11 2 2 NUM iajs-2022 73 12 was be AUX iajs-2022 73 13 obtained obtain VERB iajs-2022 73 14 from from ADP iajs-2022 73 15 the the DET iajs-2022 73 16 references reference NOUN iajs-2022 73 17 ( ( PUNCT iajs-2022 73 18 18 18 NUM iajs-2022 73 19 ) ) PUNCT iajs-2022 73 20 . . PUNCT iajs-2022 74 1 average average ADJ iajs-2022 74 2 nuclear nuclear ADJ iajs-2022 74 3 radius radius NOUN iajs-2022 74 4 𝑅 𝑅 PROPN iajs-2022 74 5 calculated calculate VERB iajs-2022 74 6 using use VERB iajs-2022 74 7 equation equation NOUN iajs-2022 74 8 14 14 NUM iajs-2022 74 9 . . PUNCT iajs-2022 75 1 3.2 3.2 NUM iajs-2022 75 2 . . 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PUNCT iajs-2022 76 28 to to PART iajs-2022 76 29 assess assess VERB iajs-2022 76 30 this this DET iajs-2022 76 31 method method NOUN iajs-2022 76 32 , , PUNCT iajs-2022 76 33 the the DET iajs-2022 76 34 following follow VERB iajs-2022 76 35 variables variable NOUN iajs-2022 76 36 need need VERB iajs-2022 76 37 to to PART iajs-2022 76 38 available available VERB iajs-2022 76 39 : : PUNCT iajs-2022 76 40 〈 〈 NOUN iajs-2022 76 41 π‘Ÿ π‘Ÿ PRON iajs-2022 76 42 βŒͺ βŒͺ NOUN iajs-2022 76 43 which which PRON iajs-2022 76 44 is be AUX iajs-2022 76 45 calculated calculate VERB iajs-2022 76 46 from from ADP iajs-2022 76 47 equation equation NOUN iajs-2022 76 48 ( ( PUNCT iajs-2022 76 49 4 4 NUM iajs-2022 76 50 ) ) PUNCT iajs-2022 76 51 for for ADP iajs-2022 76 52 𝐴 𝐴 PROPN iajs-2022 76 53 100 100 NUM iajs-2022 76 54 . . 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ADP iajs-2022 84 7 mass mass ADJ iajs-2022 84 8 number number NOUN iajs-2022 84 9 of of ADP iajs-2022 84 10 isotopes isotope NOUN iajs-2022 84 11 ( ( PUNCT iajs-2022 84 12 a a X iajs-2022 84 13 ) ) PUNCT iajs-2022 84 14 , , PUNCT iajs-2022 84 15 neutron neutron NOUN iajs-2022 84 16 number number NOUN iajs-2022 84 17 ( ( PUNCT iajs-2022 84 18 n n CCONJ iajs-2022 84 19 ) ) PUNCT iajs-2022 84 20 , , PUNCT iajs-2022 84 21 gamma gamma NOUN iajs-2022 84 22 energy energy NOUN iajs-2022 84 23 of of ADP iajs-2022 84 24 the the DET iajs-2022 84 25 first first ADJ iajs-2022 84 26 excited excited ADJ iajs-2022 84 27 state state NOUN iajs-2022 84 28 2 2 NUM iajs-2022 84 29 e e NOUN iajs-2022 84 30 , , PUNCT iajs-2022 84 31 nuclear nuclear ADJ iajs-2022 84 32 average average ADJ iajs-2022 84 33 radius radius NOUN iajs-2022 84 34 ( ( PUNCT iajs-2022 84 35 r r NOUN iajs-2022 84 36 ) ) PUNCT iajs-2022 84 37 , , PUNCT iajs-2022 84 38 reduced reduce VERB iajs-2022 84 39 electric electric ADJ iajs-2022 84 40 transition transition NOUN iajs-2022 84 41 probability probability NOUN iajs-2022 84 42 b(e2)↑ b(e2)↑ PUNCT iajs-2022 84 43 in in ADP iajs-2022 84 44 unit unit NOUN iajs-2022 84 45 of of ADP iajs-2022 84 46 e e PROPN iajs-2022 84 47 b b PROPN iajs-2022 84 48 , , PUNCT iajs-2022 84 49 intrinsic intrinsic ADJ iajs-2022 84 50 quadrupole quadrupole NOUN iajs-2022 84 51 moment moment NOUN iajs-2022 84 52 qβ‚’ qβ‚’ NOUN iajs-2022 84 53 in in ADP iajs-2022 84 54 unit unit NOUN iajs-2022 84 55 of of ADP iajs-2022 84 56 barn barn NOUN iajs-2022 84 57 , , PUNCT iajs-2022 84 58 and and CCONJ iajs-2022 84 59 deformation deformation NOUN iajs-2022 84 60 parameters parameter NOUN iajs-2022 84 61 Ξ² Ξ² X iajs-2022 84 62 , , PUNCT iajs-2022 84 63 Ξ΄ Ξ΄ PROPN iajs-2022 84 64 for for ADP iajs-2022 84 65 92u 92u NOUN iajs-2022 84 66 isotopes isotope NOUN iajs-2022 84 67 . . PUNCT iajs-2022 85 1 𝐙 𝐙 NOUN iajs-2022 85 2 𝐀 𝐀 NOUN iajs-2022 85 3 𝐍 𝐍 PROPN iajs-2022 85 4 𝐄𝛄 𝐄𝛄 PROPN iajs-2022 85 5 πŠπžπ• πŠπžπ• ADJ iajs-2022 85 6 [ [ X iajs-2022 85 7 19 19 NUM iajs-2022 85 8 ] ] PUNCT iajs-2022 85 9 theoretical theoretical ADJ iajs-2022 85 10 value value NOUN iajs-2022 85 11 present present ADJ iajs-2022 85 12 work work NOUN iajs-2022 85 13 b(e2)↑ b(e2)↑ PUNCT iajs-2022 86 1 e2b2 e2b2 AUX iajs-2022 86 2 for for ADP iajs-2022 86 3 ssanm ssanm ADJ iajs-2022 86 4 [ [ X iajs-2022 86 5 32 32 NUM iajs-2022 86 6 ] ] X iajs-2022 86 7 π›ƒπŸ π›ƒπŸ PROPN iajs-2022 86 8 π‘πŸŽ π‘πŸŽ NOUN iajs-2022 86 9 𝟐 𝟐 NUM iajs-2022 86 10 b(e2)↑ b(e2)↑ PUNCT iajs-2022 87 1 e2b2 e2b2 PUNCT iajs-2022 87 2 𝐐ₒ 𝐐ₒ PROPN iajs-2022 87 3 ( ( PUNCT iajs-2022 87 4 b b X iajs-2022 87 5 ) ) PUNCT iajs-2022 87 6 π›ƒπŸ π›ƒπŸ PROPN iajs-2022 87 7 𝛅 𝛅 PROPN iajs-2022 87 8 92 92 NUM iajs-2022 87 9 226 226 NUM iajs-2022 87 10 134 134 NUM iajs-2022 87 11 80.5 80.5 NUM iajs-2022 87 12 10 10 NUM iajs-2022 87 13 7.161 7.161 NUM iajs-2022 87 14 0.2280 0.2280 NUM iajs-2022 87 15 0.5343 0.5343 NUM iajs-2022 87 16 7.3680 7.3680 NUM iajs-2022 87 17 8.6064 8.6064 NUM iajs-2022 87 18 0.2313 0.2313 NUM iajs-2022 87 19 0.2084 0.2084 NUM iajs-2022 87 20 228 228 NUM iajs-2022 87 21 136 136 NUM iajs-2022 87 22 59 59 NUM iajs-2022 87 23 10 10 NUM iajs-2022 87 24 7.966 7.966 NUM iajs-2022 87 25 0.2391 0.2391 NUM iajs-2022 87 26 0.5374 0.5374 NUM iajs-2022 87 27 9.9940 9.9940 NUM iajs-2022 87 28 10.0235 10.0235 NUM iajs-2022 87 29 0.2678 0.2678 NUM iajs-2022 87 30 0.2413 0.2413 NUM iajs-2022 87 31 230 230 NUM iajs-2022 87 32 138 138 NUM iajs-2022 87 33 51.72 51.72 NUM iajs-2022 87 34 4 4 NUM iajs-2022 87 35 8.793 8.793 NUM iajs-2022 87 36 0.2498 0.2498 NUM iajs-2022 87 37 0.5406 0.5406 NUM iajs-2022 87 38 11.3346 11.3346 NUM iajs-2022 87 39 10.6746 10.6746 NUM iajs-2022 87 40 0.2836 0.2836 NUM iajs-2022 87 41 0.2555 0.2555 NUM iajs-2022 87 42 232 232 NUM iajs-2022 87 43 140 140 NUM iajs-2022 87 44 47.522 47.522 NUM iajs-2022 87 45 7 7 NUM iajs-2022 87 46 9.580 9.580 NUM iajs-2022 87 47 0.2592 0.2592 NUM iajs-2022 87 48 0.5437 0.5437 NUM iajs-2022 87 49 12.2520 12.2520 NUM iajs-2022 87 50 11.0982 11.0982 NUM iajs-2022 87 51 0.2931 0.2931 NUM iajs-2022 87 52 0.2641 0.2641 NUM iajs-2022 87 53 234 234 NUM iajs-2022 87 54 142 142 NUM iajs-2022 87 55 43.498 43.498 NUM iajs-2022 87 56 1 1 NUM iajs-2022 87 57 10.310 10.310 NUM iajs-2022 87 58 0.2674 0.2674 NUM iajs-2022 87 59 0.5468 0.5468 NUM iajs-2022 87 60 13.3230 13.3230 NUM iajs-2022 87 61 11.5731 11.5731 NUM iajs-2022 87 62 0.3039 0.3039 NUM iajs-2022 87 63 0.2739 0.2739 NUM iajs-2022 87 64 236 236 NUM iajs-2022 87 65 144 144 NUM iajs-2022 87 66 45.242 45.242 NUM iajs-2022 87 67 3 3 NUM iajs-2022 87 68 10.880 10.880 NUM iajs-2022 87 69 0.2731 0.2731 NUM iajs-2022 87 70 0.5499 0.5499 NUM iajs-2022 87 71 12.7370 12.7370 NUM iajs-2022 87 72 11.3157 11.3157 NUM iajs-2022 87 73 0.2955 0.2955 NUM iajs-2022 87 74 0.2663 0.2663 NUM iajs-2022 87 75 238 238 NUM iajs-2022 87 76 146 146 NUM iajs-2022 87 77 44.91 44.91 NUM iajs-2022 87 78 3 3 NUM iajs-2022 87 79 11.210 11.210 NUM iajs-2022 87 80 0.2756 0.2756 NUM iajs-2022 87 81 0.5530 0.5530 NUM iajs-2022 87 82 12.7591 12.7591 NUM iajs-2022 87 83 11.3256 11.3256 NUM iajs-2022 87 84 0.2941 0.2941 NUM iajs-2022 88 1 0.2650 0.2650 NUM iajs-2022 88 2 240 240 NUM iajs-2022 88 3 148 148 NUM iajs-2022 88 4 45 45 NUM iajs-2022 88 5 1 1 NUM iajs-2022 88 6 11.490 11.490 NUM iajs-2022 88 7 0.2775 0.2775 NUM iajs-2022 88 8 0.5561 0.5561 NUM iajs-2022 88 9 12.6628 12.6628 NUM iajs-2022 88 10 11.2827 11.2827 NUM iajs-2022 88 11 0.2913 0.2913 NUM iajs-2022 88 12 0.2625 0.2625 NUM iajs-2022 88 13 table table NOUN iajs-2022 88 14 𝟐. 𝟐. 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PROPN iajs-2022 91 206 for for ADP iajs-2022 91 207 pure pure ADJ iajs-2022 91 208 & & CCONJ iajs-2022 91 209 appl appl PROPN iajs-2022 91 210 . . PUNCT iajs-2022 92 1 sci sci PROPN iajs-2022 92 2 . . PROPN iajs-2022 92 3 ihjpas ihjpas PROPN iajs-2022 92 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2022 92 5 31.3.2022 31.3.2022 NOUN iajs-2022 92 6 vol vol NOUN iajs-2022 92 7 . . PUNCT iajs-2022 93 1 31 31 NUM iajs-2022 94 1 ( ( PUNCT iajs-2022 94 2 3 3 NUM iajs-2022 94 3 ) ) PUNCT iajs-2022 94 4 2018 2018 NUM iajs-2022 94 5 4 4 NUM iajs-2022 94 6 . . PUNCT iajs-2022 95 1 discussion discussion NOUN iajs-2022 95 2 the the DET iajs-2022 95 3 present present ADJ iajs-2022 95 4 study study NOUN iajs-2022 95 5 focuses focus VERB iajs-2022 95 6 on on ADP iajs-2022 95 7 nuclei nucleus NOUN iajs-2022 95 8 characterized characterize VERB iajs-2022 95 9 by by ADP iajs-2022 95 10 even even ADV iajs-2022 95 11 - - PUNCT iajs-2022 95 12 even even ADV iajs-2022 95 13 form form NOUN iajs-2022 95 14 for for ADP iajs-2022 95 15 the the DET iajs-2022 95 16 heavy heavy ADJ iajs-2022 95 17 elements element NOUN iajs-2022 95 18 with with ADP iajs-2022 95 19 mass mass ADJ iajs-2022 95 20 numbers number NOUN iajs-2022 95 21 equal equal ADJ iajs-2022 95 22 to to ADP iajs-2022 95 23 226 226 NUM iajs-2022 95 24 𝐴 𝐴 PROPN iajs-2022 95 25 252 252 NUM iajs-2022 95 26 , , PUNCT iajs-2022 95 27 which which PRON iajs-2022 95 28 were be AUX iajs-2022 95 29 included include VERB iajs-2022 95 30 in in ADP iajs-2022 95 31 deformation deformation NOUN iajs-2022 95 32 parameters parameter NOUN iajs-2022 95 33 study study VERB iajs-2022 95 34 𝛽 𝛽 PROPN iajs-2022 95 35 & & CCONJ iajs-2022 95 36 𝛿 𝛿 PROPN iajs-2022 95 37 derived derive VERB iajs-2022 95 38 from from ADP iajs-2022 95 39 the the DET iajs-2022 95 40 𝐡 𝐡 PROPN iajs-2022 95 41 𝐸2 𝐸2 PROPN iajs-2022 95 42 ↑ ↑ PROPN iajs-2022 95 43 and and CCONJ iajs-2022 95 44 𝑄 𝑄 PROPN iajs-2022 95 45 values value NOUN iajs-2022 95 46 . . PUNCT iajs-2022 96 1 it it PRON iajs-2022 96 2 is be AUX iajs-2022 96 3 found find VERB iajs-2022 96 4 that that SCONJ iajs-2022 96 5 the the DET iajs-2022 96 6 first first ADJ iajs-2022 96 7 excited excited ADJ iajs-2022 96 8 state state NOUN iajs-2022 96 9 energy energy NOUN iajs-2022 96 10 levels level NOUN iajs-2022 96 11 2 2 NUM iajs-2022 96 12 of of ADP iajs-2022 96 13 these these DET iajs-2022 96 14 nuclei nucleus NOUN iajs-2022 96 15 ( ( PUNCT iajs-2022 96 16 which which PRON iajs-2022 96 17 show show VERB iajs-2022 96 18 a a DET iajs-2022 96 19 collective collective ADJ iajs-2022 96 20 behavior behavior NOUN iajs-2022 96 21 ) ) PUNCT iajs-2022 96 22 , , PUNCT iajs-2022 96 23 begin begin VERB iajs-2022 96 24 to to PART iajs-2022 96 25 change change VERB iajs-2022 96 26 smoothly smoothly ADV iajs-2022 96 27 when when SCONJ iajs-2022 96 28 the the DET iajs-2022 96 29 mass mass ADJ iajs-2022 96 30 number number NOUN iajs-2022 96 31 𝐴 𝐴 PROPN iajs-2022 96 32 increases increase VERB iajs-2022 96 33 , , PUNCT iajs-2022 96 34 and and CCONJ iajs-2022 96 35 the the DET iajs-2022 96 36 nucleons nucleon NOUN iajs-2022 96 37 outside outside ADP iajs-2022 96 38 the the DET iajs-2022 96 39 core core NOUN iajs-2022 96 40 polarize polarize NOUN iajs-2022 96 41 either either CCONJ iajs-2022 96 42 the the DET iajs-2022 96 43 whole whole ADJ iajs-2022 96 44 or or CCONJ iajs-2022 96 45 partial partial ADJ iajs-2022 96 46 vibrations vibration NOUN iajs-2022 96 47 of of ADP iajs-2022 96 48 the the DET iajs-2022 96 49 core core NOUN iajs-2022 96 50 to to ADP iajs-2022 96 51 one one NUM iajs-2022 96 52 direction direction NOUN iajs-2022 96 53 and and CCONJ iajs-2022 96 54 permanent permanent ADJ iajs-2022 96 55 deformation deformation NOUN iajs-2022 96 56 of of ADP iajs-2022 96 57 the the DET iajs-2022 96 58 nucleus nucleus NOUN iajs-2022 96 59 can can AUX iajs-2022 96 60 be be AUX iajs-2022 96 61 acquired acquire VERB iajs-2022 96 62 . . PUNCT iajs-2022 97 1 also also ADV iajs-2022 97 2 from from ADP iajs-2022 97 3 evidentβŒ©π‘Ÿ evidentβŒ©π‘Ÿ PROPN iajs-2022 97 4 βŒͺ βŒͺ NOUN iajs-2022 97 5 / / PUNCT iajs-2022 97 6 , , PUNCT iajs-2022 97 7 it it PRON iajs-2022 97 8 was be AUX iajs-2022 97 9 noticed notice VERB iajs-2022 97 10 that that SCONJ iajs-2022 97 11 the the DET iajs-2022 97 12 increase increase NOUN iajs-2022 97 13 in in ADP iajs-2022 97 14 〈 〈 NOUN iajs-2022 97 15 π‘Ÿ π‘Ÿ NOUN iajs-2022 97 16 βŒͺ βŒͺ NOUN iajs-2022 97 17 / / SYM iajs-2022 97 18 values value NOUN iajs-2022 97 19 is be AUX iajs-2022 97 20 comparable comparable ADJ iajs-2022 97 21 with with ADP iajs-2022 97 22 ( ( PUNCT iajs-2022 97 23 a a DET iajs-2022 97 24 ) ) PUNCT iajs-2022 97 25 increase increase NOUN iajs-2022 97 26 . . PUNCT iajs-2022 98 1 for for ADP iajs-2022 98 2 evaluation evaluation NOUN iajs-2022 98 3 reasons reason NOUN iajs-2022 98 4 , , PUNCT iajs-2022 98 5 it it PRON iajs-2022 98 6 was be AUX iajs-2022 98 7 noticed notice VERB iajs-2022 98 8 that that SCONJ iajs-2022 98 9 the the DET iajs-2022 98 10 the the DET iajs-2022 98 11 calculated calculated ADJ iajs-2022 98 12 values value NOUN iajs-2022 98 13 of of ADP iajs-2022 98 14 present present ADJ iajs-2022 98 15 work work NOUN iajs-2022 98 16 〈 〈 NOUN iajs-2022 98 17 π‘Ÿ π‘Ÿ PRON iajs-2022 98 18 βŒͺ βŒͺ NOUN iajs-2022 98 19 / / PUNCT iajs-2022 98 20 nicely nicely ADV iajs-2022 98 21 correlated correlate VERB iajs-2022 98 22 with with ADP iajs-2022 98 23 experimental experimental ADJ iajs-2022 98 24 values value NOUN iajs-2022 98 25 of of ADP iajs-2022 98 26 〈 〈 NOUN iajs-2022 98 27 π‘Ÿ π‘Ÿ NOUN iajs-2022 98 28 βŒͺ βŒͺ NOUN iajs-2022 98 29 / / PUNCT iajs-2022 98 30 in in ADP iajs-2022 98 31 ref ref NOUN iajs-2022 98 32 [ [ X iajs-2022 98 33 18 18 NUM iajs-2022 98 34 ] ] PUNCT iajs-2022 98 35 . . PUNCT iajs-2022 99 1 also also ADV iajs-2022 99 2 , , PUNCT iajs-2022 99 3 the the DET iajs-2022 99 4 values value NOUN iajs-2022 99 5 of of ADP iajs-2022 99 6 ( ( PUNCT iajs-2022 99 7 βˆ†r βˆ†r NOUN iajs-2022 99 8 ) ) PUNCT iajs-2022 99 9 were be AUX iajs-2022 99 10 calculated calculate VERB iajs-2022 99 11 using use VERB iajs-2022 99 12 three three NUM iajs-2022 99 13 different different ADJ iajs-2022 99 14 methods method NOUN iajs-2022 99 15 , , PUNCT iajs-2022 99 16 and and CCONJ iajs-2022 99 17 it it PRON iajs-2022 99 18 was be AUX iajs-2022 99 19 found find VERB iajs-2022 99 20 that that SCONJ iajs-2022 99 21 these these DET iajs-2022 99 22 results result NOUN iajs-2022 99 23 were be AUX iajs-2022 99 24 fairly fairly ADV iajs-2022 99 25 close close ADJ iajs-2022 99 26 . . PUNCT iajs-2022 100 1 4.1 4.1 NUM iajs-2022 100 2 . . PUNCT iajs-2022 100 3 uranium uranium NOUN iajs-2022 100 4 isotopes isotope NOUN iajs-2022 100 5 π‘ΌπŸ—πŸ π‘ΌπŸ—πŸ PROPN iajs-2022 100 6 πŸπŸπŸ” πŸπŸπŸ” NUM iajs-2022 100 7 πŸπŸ’πŸŽ πŸπŸ’πŸŽ NUM iajs-2022 100 8 in in ADP iajs-2022 100 9 table table NOUN iajs-2022 100 10 1 1 NUM iajs-2022 101 1 [ [ X iajs-2022 101 2 19 19 NUM iajs-2022 101 3 ] ] PUNCT iajs-2022 101 4 , , PUNCT iajs-2022 101 5 stated state VERB iajs-2022 101 6 that that SCONJ iajs-2022 101 7 the the DET iajs-2022 101 8 minimum minimum ADJ iajs-2022 101 9 value value NOUN iajs-2022 101 10 of of ADP iajs-2022 101 11 𝛽 𝛽 PROPN iajs-2022 101 12 0.2313 0.2313 NUM iajs-2022 101 13 , , PUNCT iajs-2022 101 14 corresponding correspond VERB iajs-2022 101 15 to to ADP iajs-2022 101 16 the the DET iajs-2022 101 17 energy energy NOUN iajs-2022 101 18 of of ADP iajs-2022 101 19 the the DET iajs-2022 101 20 first first ADJ iajs-2022 101 21 excited excited ADJ iajs-2022 101 22 state state NOUN iajs-2022 101 23 𝐸 𝐸 PROPN iajs-2022 101 24 80.5 80.5 NUM iajs-2022 101 25 mev mev NOUN iajs-2022 101 26 for for ADP iajs-2022 101 27 ( ( PUNCT iajs-2022 101 28 u-226 u-226 NUM iajs-2022 101 29 ) ) PUNCT iajs-2022 101 30 , , PUNCT iajs-2022 101 31 and and CCONJ iajs-2022 101 32 the the DET iajs-2022 101 33 highest high ADJ iajs-2022 101 34 is be AUX iajs-2022 101 35 𝛽 𝛽 ADP iajs-2022 101 36 0.3039 0.3039 NUM iajs-2022 101 37 corresponding correspond VERB iajs-2022 101 38 to to ADP iajs-2022 101 39 the the PRON iajs-2022 101 40 of of ADP iajs-2022 101 41 the the DET iajs-2022 101 42 first first ADJ iajs-2022 101 43 excited excited ADJ iajs-2022 101 44 state state NOUN iajs-2022 101 45 energy energy NOUN iajs-2022 101 46 [ [ X iajs-2022 101 47 20 20 NUM iajs-2022 101 48 ] ] X iajs-2022 101 49 𝐸 𝐸 PROPN iajs-2022 101 50 43.498 43.498 NUM iajs-2022 101 51 kev kev NOUN iajs-2022 101 52 for for ADP iajs-2022 101 53 ( ( PUNCT iajs-2022 101 54 u-234 u-234 ADJ iajs-2022 101 55 ) ) PUNCT iajs-2022 101 56 . . PUNCT iajs-2022 102 1 other other ADJ iajs-2022 102 2 values value NOUN iajs-2022 102 3 are be AUX iajs-2022 102 4 ranging range VERB iajs-2022 102 5 between between ADP iajs-2022 102 6 these these DET iajs-2022 102 7 values value NOUN iajs-2022 102 8 as as SCONJ iajs-2022 102 9 shown show VERB iajs-2022 102 10 in in ADP iajs-2022 102 11 the the DET iajs-2022 102 12 figure figure NOUN iajs-2022 102 13 1 1 NUM iajs-2022 102 14 . . PUNCT iajs-2022 103 1 it it PRON iajs-2022 103 2 is be AUX iajs-2022 103 3 also also ADV iajs-2022 103 4 noted note VERB iajs-2022 103 5 that that SCONJ iajs-2022 103 6 these these DET iajs-2022 103 7 values value NOUN iajs-2022 103 8 of of ADP iajs-2022 103 9 𝛽 𝛽 NOUN iajs-2022 103 10 are be AUX iajs-2022 103 11 considered consider VERB iajs-2022 103 12 large large ADJ iajs-2022 103 13 values value NOUN iajs-2022 103 14 , , PUNCT iajs-2022 103 15 which which PRON iajs-2022 103 16 means mean VERB iajs-2022 103 17 large large ADJ iajs-2022 103 18 deformed deform VERB iajs-2022 103 19 shapes shape NOUN iajs-2022 103 20 as as SCONJ iajs-2022 103 21 shown show VERB iajs-2022 103 22 in in ADP iajs-2022 103 23 figures figure NOUN iajs-2022 103 24 ( ( PUNCT iajs-2022 103 25 3 3 NUM iajs-2022 103 26 . . NOUN iajs-2022 103 27 & & CCONJ iajs-2022 103 28 5 5 NUM iajs-2022 103 29 . . PUNCT iajs-2022 103 30 ) ) PUNCT iajs-2022 103 31 , , PUNCT iajs-2022 103 32 corresponds correspond VERB iajs-2022 103 33 small small ADJ iajs-2022 103 34 values value NOUN iajs-2022 103 35 of of ADP iajs-2022 103 36 the the DET iajs-2022 103 37 first first ADJ iajs-2022 103 38 excited excited ADJ iajs-2022 103 39 state state NOUN iajs-2022 103 40 energies energy NOUN iajs-2022 103 41 ( ( PUNCT iajs-2022 103 42 the the DET iajs-2022 103 43 gaps gap NOUN iajs-2022 103 44 between between ADP iajs-2022 103 45 shells shell NOUN iajs-2022 103 46 are be AUX iajs-2022 103 47 low low ADJ iajs-2022 103 48 spaces space NOUN iajs-2022 103 49 ) ) PUNCT iajs-2022 103 50 , , PUNCT iajs-2022 103 51 also also ADV iajs-2022 103 52 the the DET iajs-2022 103 53 number number NOUN iajs-2022 103 54 of of ADP iajs-2022 103 55 nucleons nucleon NOUN iajs-2022 103 56 in in ADP iajs-2022 103 57 the the DET iajs-2022 103 58 subshell subshell NOUN iajs-2022 103 59 outside outside ADP iajs-2022 103 60 closed closed ADJ iajs-2022 103 61 shell shell NOUN iajs-2022 103 62 are be AUX iajs-2022 103 63 filled fill VERB iajs-2022 103 64 with with ADP iajs-2022 103 65 many many ADJ iajs-2022 103 66 nucleons nucleon NOUN iajs-2022 103 67 and and CCONJ iajs-2022 103 68 the the DET iajs-2022 103 69 collective collective ADJ iajs-2022 103 70 motion motion NOUN iajs-2022 103 71 of of ADP iajs-2022 103 72 these these DET iajs-2022 103 73 nucleons nucleon NOUN iajs-2022 103 74 will will AUX iajs-2022 103 75 be be AUX iajs-2022 103 76 rotational rotational ADJ iajs-2022 103 77 motion motion NOUN iajs-2022 103 78 . . PUNCT iajs-2022 104 1 on on ADP iajs-2022 104 2 the the DET iajs-2022 104 3 other other ADJ iajs-2022 104 4 hand hand NOUN iajs-2022 104 5 , , PUNCT iajs-2022 104 6 and and CCONJ iajs-2022 104 7 𝑄 𝑄 PRON iajs-2022 104 8 are be AUX iajs-2022 104 9 significant significant ADJ iajs-2022 104 10 . . PUNCT iajs-2022 105 1 4.2.californium 4.2.californium NUM iajs-2022 105 2 isotopes isotope NOUN iajs-2022 105 3 π‘ͺπ’‡πŸ—πŸ– π‘ͺπ’‡πŸ—πŸ– PRON iajs-2022 105 4 πŸπŸ’πŸ’ πŸπŸ’πŸ’ NUM iajs-2022 105 5 πŸπŸ“πŸ πŸπŸ“πŸ NUM iajs-2022 105 6 table table NOUN iajs-2022 105 7 2 2 NUM iajs-2022 105 8 . . PUNCT iajs-2022 105 9 shows show VERB iajs-2022 105 10 that that SCONJ iajs-2022 105 11 there there PRON iajs-2022 105 12 are be VERB iajs-2022 105 13 four four NUM iajs-2022 105 14 isotopes isotope NOUN iajs-2022 105 15 chosen choose VERB iajs-2022 105 16 form form NOUN iajs-2022 105 17 this this DET iajs-2022 105 18 element element NOUN iajs-2022 105 19 , , PUNCT iajs-2022 105 20 the the DET iajs-2022 105 21 highest high ADJ iajs-2022 105 22 value value NOUN iajs-2022 105 23 of of ADP iajs-2022 105 24 the the DET iajs-2022 105 25 deformation deformation NOUN iajs-2022 105 26 parameter parameter NOUN iajs-2022 105 27 belongs belong VERB iajs-2022 105 28 to to ADP iajs-2022 105 29 𝐢𝑓 𝐢𝑓 PROPN iajs-2022 105 30 and and CCONJ iajs-2022 105 31 equals equal VERB iajs-2022 105 32 to to ADP iajs-2022 105 33 𝛽 𝛽 PROPN iajs-2022 105 34 0.3039 0.3039 NUM iajs-2022 105 35 , , PUNCT iajs-2022 105 36 corresponding correspond VERB iajs-2022 105 37 to to ADP iajs-2022 105 38 the the DET iajs-2022 105 39 first first ADJ iajs-2022 105 40 excited excited ADJ iajs-2022 105 41 state state NOUN iajs-2022 105 42 energy energy NOUN iajs-2022 105 43 𝐸 𝐸 PROPN iajs-2022 105 44 40 40 NUM iajs-2022 105 45 kev kev NOUN iajs-2022 105 46 .and .and PUNCT iajs-2022 106 1 the the DET iajs-2022 106 2 lowest low ADJ iajs-2022 106 3 value value NOUN iajs-2022 106 4 of of ADP iajs-2022 106 5 the the DET iajs-2022 106 6 deformation deformation NOUN iajs-2022 106 7 parameter parameter NOUN iajs-2022 106 8 belongs belong VERB iajs-2022 106 9 to to ADP iajs-2022 106 10 𝐢𝑓 𝐢𝑓 PROPN iajs-2022 106 11 equals equal VERB iajs-2022 106 12 to to ADP iajs-2022 106 13 𝛽 𝛽 NOUN iajs-2022 106 14 0.2753 0.2753 NUM iajs-2022 106 15 corresponds correspond NOUN iajs-2022 106 16 to to ADP iajs-2022 106 17 the the DET iajs-2022 106 18 energy energy NOUN iajs-2022 106 19 of of ADP iajs-2022 106 20 the the DET iajs-2022 106 21 first first ADJ iajs-2022 106 22 excited excited ADJ iajs-2022 106 23 state state NOUN iajs-2022 106 24 𝐸 𝐸 PROPN iajs-2022 106 25 45.72 45.72 NUM iajs-2022 106 26 kev kev NOUN iajs-2022 106 27 . . PUNCT iajs-2022 107 1 figure figure NOUN iajs-2022 107 2 2 2 NUM iajs-2022 107 3 . . PUNCT iajs-2022 107 4 shows show VERB iajs-2022 107 5 this this DET iajs-2022 107 6 behavior behavior NOUN iajs-2022 107 7 . . PUNCT iajs-2022 108 1 also also ADV iajs-2022 108 2 we we PRON iajs-2022 108 3 note note VERB iajs-2022 108 4 that that SCONJ iajs-2022 108 5 the the DET iajs-2022 108 6 number number NOUN iajs-2022 108 7 of of ADP iajs-2022 108 8 nucleons nucleon NOUN iajs-2022 108 9 𝑍 𝑍 NOUN iajs-2022 108 10 98 98 NUM iajs-2022 108 11 , , PUNCT iajs-2022 108 12 244 244 NUM iajs-2022 108 13 𝑁 𝑁 PROPN iajs-2022 108 14 252 252 NUM iajs-2022 108 15 that that PRON iajs-2022 108 16 fill fill VERB iajs-2022 108 17 the the DET iajs-2022 108 18 shells shell NOUN iajs-2022 108 19 outside outside ADP iajs-2022 108 20 closed closed ADJ iajs-2022 108 21 shell shell NOUN iajs-2022 108 22 are be AUX iajs-2022 108 23 large large ADJ iajs-2022 108 24 , , PUNCT iajs-2022 108 25 the the DET iajs-2022 108 26 energy energy NOUN iajs-2022 108 27 values value NOUN iajs-2022 108 28 of of ADP iajs-2022 108 29 the the DET iajs-2022 108 30 first first ADJ iajs-2022 108 31 excited excited ADJ iajs-2022 108 32 state state NOUN iajs-2022 108 33 of of ADP iajs-2022 108 34 the the DET iajs-2022 108 35 selected select VERB iajs-2022 108 36 californium californium NOUN iajs-2022 108 37 isotopes isotope NOUN iajs-2022 108 38 are be AUX iajs-2022 108 39 considered consider VERB iajs-2022 108 40 very very ADV iajs-2022 108 41 small small ADJ iajs-2022 108 42 if if SCONJ iajs-2022 108 43 compared compare VERB iajs-2022 108 44 with with ADP iajs-2022 108 45 the the DET iajs-2022 108 46 energy energy NOUN iajs-2022 108 47 of of ADP iajs-2022 108 48 the the DET iajs-2022 108 49 closed closed ADJ iajs-2022 108 50 shell shell NOUN iajs-2022 108 51 ( ( PUNCT iajs-2022 108 52 the the DET iajs-2022 108 53 distances distance NOUN iajs-2022 108 54 between between ADP iajs-2022 108 55 the the DET iajs-2022 108 56 ground ground NOUN iajs-2022 108 57 table table NOUN iajs-2022 108 58 4 4 NUM iajs-2022 108 59 . . PUNCT iajs-2022 109 1 a a DET iajs-2022 109 2 mass mass ADJ iajs-2022 109 3 number number NOUN iajs-2022 109 4 , , PUNCT iajs-2022 109 5 n n PRON iajs-2022 109 6 neutron neutron NOUN iajs-2022 109 7 number number NOUN iajs-2022 109 8 , , PUNCT iajs-2022 109 9 r r NOUN iajs-2022 109 10 / / SYM iajs-2022 109 11 root root NOUN iajs-2022 109 12 mean mean ADJ iajs-2022 109 13 square square ADJ iajs-2022 109 14 radii radii NOUN iajs-2022 109 15 , , PUNCT iajs-2022 109 16 ( ( PUNCT iajs-2022 109 17 a a PRON iajs-2022 109 18 , , PUNCT iajs-2022 109 19 b b NOUN iajs-2022 109 20 ) ) PUNCT iajs-2022 109 21 major major ADJ iajs-2022 109 22 and and CCONJ iajs-2022 109 23 minor minor ADJ iajs-2022 109 24 axes axis NOUN iajs-2022 109 25 and and CCONJ iajs-2022 109 26 the the DET iajs-2022 109 27 difference difference NOUN iajs-2022 109 28 between between ADP iajs-2022 109 29 them they PRON iajs-2022 109 30 ( ( PUNCT iajs-2022 109 31 βˆ† βˆ† X iajs-2022 109 32 r r X iajs-2022 109 33 ) ) PUNCT iajs-2022 109 34 by by ADP iajs-2022 109 35 three three NUM iajs-2022 109 36 methods method NOUN iajs-2022 109 37 for for ADP iajs-2022 109 38 cf cf NOUN iajs-2022 109 39 isotopes isotope NOUN iajs-2022 109 40 . . PUNCT iajs-2022 110 1 𝐙 𝐙 NOUN iajs-2022 110 2 𝐀 𝐀 NOUN iajs-2022 110 3 𝐍 𝐍 PROPN iajs-2022 110 4 theoretical theoretical ADJ iajs-2022 110 5 value value NOUN iajs-2022 110 6 present present ADJ iajs-2022 110 7 work work NOUN iajs-2022 110 8 〈 〈 NOUN iajs-2022 110 9 𝐫𝟐βŒͺ𝟏 𝐫𝟐βŒͺ𝟏 NOUN iajs-2022 110 10 πŸβ„ πŸβ„ NOUN iajs-2022 110 11 𝐟𝐦 𝐟𝐦 PROPN iajs-2022 110 12 [ [ X iajs-2022 110 13 18 18 NUM iajs-2022 110 14 ] ] PUNCT iajs-2022 110 15 〈 〈 PROPN iajs-2022 110 16 𝐫𝟐βŒͺ𝟏/𝟐 𝐫𝟐βŒͺ𝟏/𝟐 PROPN iajs-2022 110 17 fm fm PROPN iajs-2022 110 18 𝐚 𝐚 X iajs-2022 110 19 𝐟𝐦 𝐟𝐦 INTJ iajs-2022 110 20 𝐛 𝐛 X iajs-2022 110 21 𝐟𝐦 𝐟𝐦 PROPN iajs-2022 110 22 βˆ† βˆ† PROPN iajs-2022 110 23 π‘πŸ π‘πŸ PROPN iajs-2022 110 24 ( ( PUNCT iajs-2022 110 25 fm fm NOUN iajs-2022 110 26 ) ) PUNCT iajs-2022 110 27 βˆ† βˆ† PROPN iajs-2022 110 28 π‘πŸ π‘πŸ NOUN iajs-2022 110 29 ( ( PUNCT iajs-2022 110 30 fm fm NOUN iajs-2022 110 31 ) ) PUNCT iajs-2022 110 32 βˆ† βˆ† PROPN iajs-2022 110 33 π‘πŸ‘ π‘πŸ‘ NOUN iajs-2022 110 34 ( ( PUNCT iajs-2022 110 35 fm fm NOUN iajs-2022 110 36 ) ) PUNCT iajs-2022 110 37 98 98 NUM iajs-2022 110 38 244 244 NUM iajs-2022 110 39 146 146 NUM iajs-2022 110 40 ---5.9518 ---5.9518 PROPN iajs-2022 110 41 2.5094 2.5094 NUM iajs-2022 110 42 4.1430 4.1430 NUM iajs-2022 110 43 1.8313 1.8313 NUM iajs-2022 110 44 1.6336 1.6336 NUM iajs-2022 110 45 2.1501 2.1501 NUM iajs-2022 110 46 248 248 NUM iajs-2022 110 47 150 150 NUM iajs-2022 110 48 ---5.9841 ---5.9841 PROPN iajs-2022 110 49 2.5410 2.5410 NUM iajs-2022 110 50 4.1240 4.1240 NUM iajs-2022 110 51 1.7779 1.7779 NUM iajs-2022 110 52 1.5830 1.5830 NUM iajs-2022 110 53 2.0874 2.0874 NUM iajs-2022 110 54 250 250 NUM iajs-2022 110 55 152 152 NUM iajs-2022 110 56 ---6.0002 ---6.0002 PROPN iajs-2022 110 57 2.5596 2.5596 NUM iajs-2022 110 58 4.1107 4.1107 NUM iajs-2022 110 59 1.7435 1.7435 NUM iajs-2022 110 60 1.5512 1.5512 NUM iajs-2022 110 61 2.0471 2.0471 NUM iajs-2022 110 62 252 252 NUM iajs-2022 110 63 154 154 NUM iajs-2022 110 64 ---6.0161 ---6.0161 NOUN iajs-2022 110 65 2.5905 2.5905 NUM iajs-2022 110 66 4.0816 4.0816 NUM iajs-2022 110 67 1.6765 1.6765 NUM iajs-2022 110 68 1.4911 1.4911 NUM iajs-2022 110 69 1.9683 1.9683 NUM iajs-2022 110 70 physics physics NOUN iajs-2022 110 71 | | ADV iajs-2022 110 72 16 16 NUM iajs-2022 110 73 ibn ibn PROPN iajs-2022 110 74 al al PROPN iajs-2022 110 75 - - PUNCT iajs-2022 110 76 haitham haitham PROPN iajs-2022 110 77 jour jour X iajs-2022 110 78 . . PROPN iajs-2022 110 79 for for ADP iajs-2022 110 80 pure pure ADJ iajs-2022 110 81 & & CCONJ iajs-2022 110 82 appl appl PROPN iajs-2022 110 83 . . PUNCT iajs-2022 111 1 sci sci PROPN iajs-2022 111 2 . . PROPN iajs-2022 111 3 ihjpas ihjpas PROPN iajs-2022 111 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2022 111 5 31.3.2022 31.3.2022 NOUN iajs-2022 111 6 vol vol NOUN iajs-2022 111 7 . . PUNCT iajs-2022 112 1 31 31 NUM iajs-2022 113 1 ( ( PUNCT iajs-2022 113 2 3 3 NUM iajs-2022 113 3 ) ) SYM iajs-2022 113 4 2018 2018 NUM iajs-2022 113 5 state state NOUN iajs-2022 113 6 and and CCONJ iajs-2022 113 7 the the DET iajs-2022 113 8 first first ADJ iajs-2022 113 9 excited excited ADJ iajs-2022 113 10 state state NOUN iajs-2022 113 11 are be AUX iajs-2022 113 12 small small ADJ iajs-2022 113 13 so so SCONJ iajs-2022 113 14 that that SCONJ iajs-2022 113 15 the the DET iajs-2022 113 16 transition transition NOUN iajs-2022 113 17 of of ADP iajs-2022 113 18 the the DET iajs-2022 113 19 nucleons nucleon NOUN iajs-2022 113 20 between between ADP iajs-2022 113 21 these these DET iajs-2022 113 22 two two NUM iajs-2022 113 23 states state NOUN iajs-2022 113 24 is be AUX iajs-2022 113 25 very very ADV iajs-2022 113 26 easy easy ADJ iajs-2022 113 27 ) ) PUNCT iajs-2022 113 28 . . PUNCT iajs-2022 114 1 therefore therefore ADV iajs-2022 114 2 , , PUNCT iajs-2022 114 3 the the DET iajs-2022 114 4 values value NOUN iajs-2022 114 5 of of ADP iajs-2022 114 6 the the DET iajs-2022 114 7 reduced reduce VERB iajs-2022 114 8 electrical electrical ADJ iajs-2022 114 9 transition transition NOUN iajs-2022 114 10 will will AUX iajs-2022 114 11 be be AUX iajs-2022 114 12 large large ADJ iajs-2022 114 13 . . PUNCT iajs-2022 115 1 in in ADP iajs-2022 115 2 addition addition NOUN iajs-2022 115 3 to to ADP iajs-2022 115 4 that that PRON iajs-2022 115 5 , , PUNCT iajs-2022 115 6 the the DET iajs-2022 115 7 values value NOUN iajs-2022 115 8 of of ADP iajs-2022 115 9 intrinsic intrinsic ADJ iajs-2022 115 10 electric electric ADJ iajs-2022 115 11 quadrupole quadrupole NOUN iajs-2022 115 12 moments moment NOUN iajs-2022 115 13 are be AUX iajs-2022 115 14 large large ADJ iajs-2022 115 15 too too ADV iajs-2022 115 16 . . PUNCT iajs-2022 116 1 all all DET iajs-2022 116 2 these these DET iajs-2022 116 3 factors factor NOUN iajs-2022 116 4 work work VERB iajs-2022 116 5 to to PART iajs-2022 116 6 make make VERB iajs-2022 116 7 the the DET iajs-2022 116 8 deformation deformation NOUN iajs-2022 116 9 parameters parameter NOUN iajs-2022 116 10 large large ADJ iajs-2022 116 11 , , PUNCT iajs-2022 116 12 which which PRON iajs-2022 116 13 in in ADP iajs-2022 116 14 turn turn NOUN iajs-2022 116 15 make make VERB iajs-2022 116 16 the the DET iajs-2022 116 17 nuclei nucleus NOUN iajs-2022 116 18 of of ADP iajs-2022 116 19 these these DET iajs-2022 116 20 isotopes isotope NOUN iajs-2022 116 21 permanently permanently ADV iajs-2022 116 22 deformed deform VERB iajs-2022 116 23 , , PUNCT iajs-2022 116 24 and and CCONJ iajs-2022 116 25 elliptical elliptical ADJ iajs-2022 116 26 shapes shape NOUN iajs-2022 116 27 as as SCONJ iajs-2022 116 28 shown show VERB iajs-2022 116 29 in in ADP iajs-2022 116 30 figure figure NOUN iajs-2022 116 31 4 4 NUM iajs-2022 116 32 . . PUNCT iajs-2022 117 1 in in ADP iajs-2022 117 2 addition addition NOUN iajs-2022 117 3 , , PUNCT iajs-2022 117 4 the the DET iajs-2022 117 5 collective collective ADJ iajs-2022 117 6 motion motion NOUN iajs-2022 117 7 of of ADP iajs-2022 117 8 nucleons nucleon NOUN iajs-2022 117 9 in in ADP iajs-2022 117 10 the the DET iajs-2022 117 11 external external ADJ iajs-2022 117 12 orbits orbit NOUN iajs-2022 117 13 is be AUX iajs-2022 117 14 rotational rotational ADJ iajs-2022 117 15 motion motion NOUN iajs-2022 117 16 . . PUNCT iajs-2022 118 1 figure figure NOUN iajs-2022 118 2 1 1 NUM iajs-2022 118 3 . . PUNCT iajs-2022 119 1 deformation deformation NOUN iajs-2022 119 2 parameter parameter NOUN iajs-2022 119 3 ( ( PUNCT iajs-2022 119 4 Ξ²2 Ξ²2 NOUN iajs-2022 119 5 ) ) PUNCT iajs-2022 119 6 value value NOUN iajs-2022 119 7 of of ADP iajs-2022 119 8 the the DET iajs-2022 119 9 ( ( PUNCT iajs-2022 119 10 92u 92u NOUN iajs-2022 119 11 ) ) PUNCT iajs-2022 119 12 isotopes isotope NOUN iajs-2022 119 13 as as ADP iajs-2022 119 14 function function NOUN iajs-2022 119 15 of of ADP iajs-2022 119 16 neutron neutron NOUN iajs-2022 119 17 number number NOUN iajs-2022 119 18 . . PUNCT iajs-2022 120 1 figure figure NOUN iajs-2022 120 2 2 2 NUM iajs-2022 120 3 . . PUNCT iajs-2022 120 4 deformation deformation NOUN iajs-2022 120 5 parameter parameter NOUN iajs-2022 120 6 ( ( PUNCT iajs-2022 120 7 Ξ²2 Ξ²2 NOUN iajs-2022 120 8 ) ) PUNCT iajs-2022 120 9 value value NOUN iajs-2022 120 10 of of ADP iajs-2022 120 11 the the DET iajs-2022 120 12 ( ( PUNCT iajs-2022 120 13 98cf 98cf ADJ iajs-2022 120 14 ) ) PUNCT iajs-2022 120 15 isotopes isotope NOUN iajs-2022 120 16 as as ADP iajs-2022 120 17 function function NOUN iajs-2022 120 18 of of ADP iajs-2022 120 19 neutron neutron NOUN iajs-2022 120 20 number number NOUN iajs-2022 120 21 . . PUNCT iajs-2022 121 1 144 144 NUM iajs-2022 121 2 146 146 NUM iajs-2022 121 3 148 148 NUM iajs-2022 121 4 150 150 NUM iajs-2022 121 5 152 152 NUM iajs-2022 121 6 154 154 NUM iajs-2022 121 7 156 156 NUM iajs-2022 121 8 0.27 0.27 NUM iajs-2022 121 9 0.275 0.275 NUM iajs-2022 121 10 0.28 0.28 NUM iajs-2022 121 11 0.285 0.285 NUM iajs-2022 121 12 0.29 0.29 NUM iajs-2022 121 13 0.295 0.295 NUM iajs-2022 121 14 0.3 0.3 NUM iajs-2022 121 15 0.305 0.305 NUM iajs-2022 121 16 0.31 0.31 NUM iajs-2022 121 17 0.315 0.315 NUM iajs-2022 121 18 0.32 0.32 NUM iajs-2022 121 19 neutron neutron NOUN iajs-2022 121 20 number number NOUN iajs-2022 121 21 ( ( PUNCT iajs-2022 121 22 n n CCONJ iajs-2022 121 23 ) ) PUNCT iajs-2022 121 24 d d NOUN iajs-2022 122 1 e e NOUN iajs-2022 123 1 fo fo ADP iajs-2022 123 2 rm rm PROPN iajs-2022 123 3 a a DET iajs-2022 123 4 tio tio NOUN iajs-2022 124 1 n n PRON iajs-2022 124 2 p p NOUN iajs-2022 124 3 a a DET iajs-2022 124 4 ra ra NOUN iajs-2022 124 5 m m NOUN iajs-2022 124 6 e e NOUN iajs-2022 124 7 te te ADP iajs-2022 124 8 r r NOUN iajs-2022 124 9 ( ( PUNCT iajs-2022 124 10   PROPN iajs-2022 124 11 2 2 NUM iajs-2022 124 12 ) ) PUNCT iajs-2022 124 13 2 2 NOUN iajs-2022 124 14 for for ADP iajs-2022 124 15 p.w p.w PROPN iajs-2022 124 16 . . PUNCT iajs-2022 124 17 physics physics PROPN iajs-2022 125 1 | | ADV iajs-2022 125 2 17 17 NUM iajs-2022 125 3 ibn ibn PROPN iajs-2022 125 4 al al PROPN iajs-2022 125 5 - - PUNCT iajs-2022 125 6 haitham haitham PROPN iajs-2022 125 7 jour jour X iajs-2022 125 8 . . PROPN iajs-2022 126 1 for for ADP iajs-2022 126 2 pure pure ADJ iajs-2022 126 3 & & CCONJ iajs-2022 126 4 appl appl PROPN iajs-2022 126 5 . . PUNCT iajs-2022 127 1 sci sci PROPN iajs-2022 127 2 . . PROPN iajs-2022 127 3 ihjpas ihjpas PROPN iajs-2022 127 4 https://doi.org/10.30526/ https://doi.org/10.30526/ PROPN iajs-2022 127 5 31.3.2022 31.3.2022 NOUN iajs-2022 127 6 vol vol NOUN iajs-2022 127 7 . . PUNCT iajs-2022 128 1 31 31 NUM iajs-2022 129 1 ( ( PUNCT iajs-2022 129 2 3 3 NUM iajs-2022 129 3 ) ) SYM iajs-2022 129 4 2018 2018 NUM iajs-2022 129 5 figure figure NOUN iajs-2022 129 6 3 3 NUM iajs-2022 129 7 . . PUNCT iajs-2022 129 8 shapes shape NOUN iajs-2022 129 9 of of ADP iajs-2022 129 10 axially axially ADV iajs-2022 129 11 symmetric symmetric ADJ iajs-2022 129 12 quadrupole quadrupole NOUN iajs-2022 129 13 deformation deformation NOUN iajs-2022 129 14 for for ADP iajs-2022 129 15 π‘ˆisotope π‘ˆisotope PROPN iajs-2022 129 16 from from ADP iajs-2022 129 17 major major ADJ iajs-2022 129 18 ( ( PUNCT iajs-2022 129 19 a a NOUN iajs-2022 129 20 ) ) PUNCT iajs-2022 129 21 and and CCONJ iajs-2022 129 22 minor minor ADJ iajs-2022 129 23 ( ( PUNCT iajs-2022 129 24 b b NOUN iajs-2022 129 25 ) ) PUNCT iajs-2022 129 26 axes axis NOUN iajs-2022 129 27 . . PUNCT iajs-2022 130 1 figure figure NOUN iajs-2022 130 2 4 4 NUM iajs-2022 130 3 . . PUNCT iajs-2022 130 4 shapes shape NOUN iajs-2022 130 5 of of ADP iajs-2022 130 6 axially axially ADV iajs-2022 130 7 symmetric symmetric ADJ iajs-2022 130 8 quadrupole quadrupole NOUN iajs-2022 130 9 deformation deformation NOUN iajs-2022 130 10 for for ADP iajs-2022 130 11 𝐢𝑓 𝐢𝑓 PROPN iajs-2022 130 12 isotope isotope NOUN iajs-2022 130 13 from from ADP iajs-2022 130 14 major major ADJ iajs-2022 130 15 ( ( PUNCT iajs-2022 130 16 a a NOUN iajs-2022 130 17 ) ) PUNCT iajs-2022 130 18 and and CCONJ iajs-2022 130 19 minor minor ADJ iajs-2022 130 20 ( ( PUNCT iajs-2022 130 21 b b NOUN iajs-2022 130 22 ) ) PUNCT iajs-2022 130 23 axes axis NOUN iajs-2022 130 24 . . PUNCT iajs-2022 131 1 figure figure NOUN iajs-2022 131 2 5 5 NUM iajs-2022 131 3 . . 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