Hui Jiang, Chang-hao Mao, Yang Lei, Guan-Jian Fu, Zhen-Zhen Qin
{"title":"低于和超过中子神奇数 N=82 的奇数质量 Te 同位素的低洼结构和弱耦合多重子","authors":"Hui Jiang, Chang-hao Mao, Yang Lei, Guan-Jian Fu, Zhen-Zhen Qin","doi":"10.1103/physrevc.110.014315","DOIUrl":null,"url":null,"abstract":"The low-lying level schemes, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>E</mi><mn>2</mn></mrow></math> transitional rates, electrical quadrupole moments <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>Q</mi></math>, and magnetic dipole moments <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>μ</mi></math> of odd-mass Te isotopes with mass number from 129–139 are calculated within the framework of the nucleon-pair approximation of the shell model by using the standard multipole-multipole interaction in a large truncated space. Good agreement is obtained between the calculated results and experimental data. The dominant configurations in collective nucleon-pair basis of low-lying yrast states in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Te</mi><mprescripts></mprescripts><none></none><mrow><mn>129</mn><mo>–</mo><mn>133</mn></mrow></mmultiscripts></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Te</mi><mprescripts></mprescripts><none></none><mrow><mn>135</mn><mo>–</mo><mn>139</mn></mrow></mmultiscripts></math> are analyzed in detail. The possible weak-coupling multiplets in these nuclei are probed by investigating the corresponding relative excitation energy, wave function, <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>E</mi><mn>2</mn></mrow></math> transition rates, electric quadrupole moments <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>Q</mi></math>, and magnetic dipole moment <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>μ</mi></math>. <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>E</mi><mn>2</mn></mrow></math> ground-state transitions of odd-mass nuclei and even-even core are compared, and a similar asymmetry pattern with respect to <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mi>N</mi><mo>=</mo><mn>82</mn></mrow></math> is obtained. The electromagnetic moments <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>Q</mi></math> and <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>μ</mi></math> of the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>3</mn><mo>/</mo><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup></mrow><mo>,</mo><mo> </mo><mrow><mn>11</mn><mo>/</mo><msubsup><mn>2</mn><mn>1</mn><mo>−</mo></msubsup></mrow></math> states in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Te</mi><mprescripts></mprescripts><none></none><mrow><mn>129</mn><mo>–</mo><mn>133</mn></mrow></mmultiscripts></math>, and the <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow><mn>7</mn><mo>/</mo><msubsup><mn>2</mn><mn>1</mn><mo>−</mo></msubsup></mrow></math> state in <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mmultiscripts><mi>Te</mi><mprescripts></mprescripts><none></none><mrow><mn>135</mn><mo>–</mo><mn>139</mn></mrow></mmultiscripts></math> are discussed in terms of the overall trend and the contribution of the proton and neutron components.","PeriodicalId":20122,"journal":{"name":"Physical Review C","volume":null,"pages":null},"PeriodicalIF":3.1000,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Low-lying structure and weak-coupling multiplets of odd-mass Te isotopes below and beyond the neutron magic number N=82\",\"authors\":\"Hui Jiang, Chang-hao Mao, Yang Lei, Guan-Jian Fu, Zhen-Zhen Qin\",\"doi\":\"10.1103/physrevc.110.014315\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The low-lying level schemes, <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>E</mi><mn>2</mn></mrow></math> transitional rates, electrical quadrupole moments <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>Q</mi></math>, and magnetic dipole moments <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>μ</mi></math> of odd-mass Te isotopes with mass number from 129–139 are calculated within the framework of the nucleon-pair approximation of the shell model by using the standard multipole-multipole interaction in a large truncated space. Good agreement is obtained between the calculated results and experimental data. The dominant configurations in collective nucleon-pair basis of low-lying yrast states in <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mmultiscripts><mi>Te</mi><mprescripts></mprescripts><none></none><mrow><mn>129</mn><mo>–</mo><mn>133</mn></mrow></mmultiscripts></math> and <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mmultiscripts><mi>Te</mi><mprescripts></mprescripts><none></none><mrow><mn>135</mn><mo>–</mo><mn>139</mn></mrow></mmultiscripts></math> are analyzed in detail. The possible weak-coupling multiplets in these nuclei are probed by investigating the corresponding relative excitation energy, wave function, <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>E</mi><mn>2</mn></mrow></math> transition rates, electric quadrupole moments <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>Q</mi></math>, and magnetic dipole moment <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>μ</mi></math>. <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>E</mi><mn>2</mn></mrow></math> ground-state transitions of odd-mass nuclei and even-even core are compared, and a similar asymmetry pattern with respect to <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mi>N</mi><mo>=</mo><mn>82</mn></mrow></math> is obtained. The electromagnetic moments <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>Q</mi></math> and <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mi>μ</mi></math> of the <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mn>3</mn><mo>/</mo><msubsup><mn>2</mn><mn>1</mn><mo>+</mo></msubsup></mrow><mo>,</mo><mo> </mo><mrow><mn>11</mn><mo>/</mo><msubsup><mn>2</mn><mn>1</mn><mo>−</mo></msubsup></mrow></math> states in <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mmultiscripts><mi>Te</mi><mprescripts></mprescripts><none></none><mrow><mn>129</mn><mo>–</mo><mn>133</mn></mrow></mmultiscripts></math>, and the <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mrow><mn>7</mn><mo>/</mo><msubsup><mn>2</mn><mn>1</mn><mo>−</mo></msubsup></mrow></math> state in <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><mmultiscripts><mi>Te</mi><mprescripts></mprescripts><none></none><mrow><mn>135</mn><mo>–</mo><mn>139</mn></mrow></mmultiscripts></math> are discussed in terms of the overall trend and the contribution of the proton and neutron components.\",\"PeriodicalId\":20122,\"journal\":{\"name\":\"Physical Review C\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":3.1000,\"publicationDate\":\"2024-07-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review C\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevc.110.014315\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review C","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevc.110.014315","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
Low-lying structure and weak-coupling multiplets of odd-mass Te isotopes below and beyond the neutron magic number N=82
The low-lying level schemes, transitional rates, electrical quadrupole moments , and magnetic dipole moments of odd-mass Te isotopes with mass number from 129–139 are calculated within the framework of the nucleon-pair approximation of the shell model by using the standard multipole-multipole interaction in a large truncated space. Good agreement is obtained between the calculated results and experimental data. The dominant configurations in collective nucleon-pair basis of low-lying yrast states in and are analyzed in detail. The possible weak-coupling multiplets in these nuclei are probed by investigating the corresponding relative excitation energy, wave function, transition rates, electric quadrupole moments , and magnetic dipole moment . ground-state transitions of odd-mass nuclei and even-even core are compared, and a similar asymmetry pattern with respect to is obtained. The electromagnetic moments and of the states in , and the state in are discussed in terms of the overall trend and the contribution of the proton and neutron components.
期刊介绍:
Physical Review C (PRC) is a leading journal in theoretical and experimental nuclear physics, publishing more than two-thirds of the research literature in the field.
PRC covers experimental and theoretical results in all aspects of nuclear physics, including:
Nucleon-nucleon interaction, few-body systems
Nuclear structure
Nuclear reactions
Relativistic nuclear collisions
Hadronic physics and QCD
Electroweak interaction, symmetries
Nuclear astrophysics