利用核壳模型评估二次禁止单跃迁非唯一β衰变的光谱形状

IF 1.9 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Marlom Ramalho, Jouni Suhonen, Andrei Neacsu, Sabin Stoica
{"title":"利用核壳模型评估二次禁止单跃迁非唯一β衰变的光谱形状","authors":"Marlom Ramalho, Jouni Suhonen, Andrei Neacsu, Sabin Stoica","doi":"10.3389/fphy.2024.1455778","DOIUrl":null,"url":null,"abstract":"Experimental and theoretical studies of <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> electrons (electrons emitted in <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math></jats:inline-formula>-decay transitions) and their <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula>-electron spectra have recently experienced a rapid expansion. These <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectral shapes have been used to study total <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectra of fission-product nuclei in the quest for explanation of the reactor-flux anomalies, and individual <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> transitions in search for <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectral shapes sensitive to the effective value of the weak axial coupling <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mtext>A</mml:mtext></mml:mrow></mml:msub></mml:math></jats:inline-formula>. In the former case the TAGS (total absorption gamma-ray spectroscopy) can be efficiently used to measure the total <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectral shapes and in the latter case dedicated measurements of the involved forbidden nonunique <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> transitions have been deployed. The fourth-forbidden nonunique decay transitions <jats:sup>113</jats:sup><jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi mathvariant=\"normal\">C</mml:mi><mml:mi mathvariant=\"normal\">d</mml:mi><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>g.s.</mml:mtext></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow><mml:msup><mml:mrow><mml:mo>→</mml:mo><mml:mspace width=\"0.27em\"/></mml:mrow><mml:mrow><mml:mn>113</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant=\"normal\">I</mml:mi><mml:mi mathvariant=\"normal\">n</mml:mi><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mrow><mml:mn>9</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>g.s.</mml:mtext></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:math></jats:inline-formula> and <jats:sup>115</jats:sup><jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi mathvariant=\"normal\">I</mml:mi><mml:mi mathvariant=\"normal\">n</mml:mi><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mrow><mml:mn>9</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>g.s.</mml:mtext></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow><mml:msup><mml:mrow><mml:mo>→</mml:mo><mml:mspace width=\"0.27em\"/></mml:mrow><mml:mrow><mml:mn>115</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant=\"normal\">S</mml:mi><mml:mi mathvariant=\"normal\">n</mml:mi><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>g.s.</mml:mtext></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:math></jats:inline-formula> represent theoretically and experimentally much-studied cases where the total <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectra consist of these single transitions. In these particular cases the TAGS method could be used to assess the effective value of <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mtext>A</mml:mtext></mml:mrow></mml:msub></mml:math></jats:inline-formula>. In the present work we have identified five more interesting cases where a total <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectrum consists of a single transition. These spectra correspond to second-forbidden nonunique transitions and are <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mtext>A</mml:mtext></mml:mrow></mml:msub></mml:math></jats:inline-formula> and/or sNME dependent, where sNME denotes the so-called small relativistic vector nuclear matrix element. These studies have been performed using the nuclear shell model with well established effective Hamiltonians. With this we target to <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> transitions that would potentially be of high interest for the TAGS and present and future dedicated <jats:inline-formula><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula>-spectrum experiments.","PeriodicalId":12507,"journal":{"name":"Frontiers in Physics","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spectral shapes of second-forbidden single-transition nonunique β decays assessed using the nuclear shell model\",\"authors\":\"Marlom Ramalho, Jouni Suhonen, Andrei Neacsu, Sabin Stoica\",\"doi\":\"10.3389/fphy.2024.1455778\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Experimental and theoretical studies of <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> electrons (electrons emitted in <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:msup><mml:mrow><mml:mi>β</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:math></jats:inline-formula>-decay transitions) and their <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula>-electron spectra have recently experienced a rapid expansion. These <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectral shapes have been used to study total <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectra of fission-product nuclei in the quest for explanation of the reactor-flux anomalies, and individual <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> transitions in search for <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectral shapes sensitive to the effective value of the weak axial coupling <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mtext>A</mml:mtext></mml:mrow></mml:msub></mml:math></jats:inline-formula>. In the former case the TAGS (total absorption gamma-ray spectroscopy) can be efficiently used to measure the total <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectral shapes and in the latter case dedicated measurements of the involved forbidden nonunique <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> transitions have been deployed. The fourth-forbidden nonunique decay transitions <jats:sup>113</jats:sup><jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi mathvariant=\\\"normal\\\">C</mml:mi><mml:mi mathvariant=\\\"normal\\\">d</mml:mi><mml:mrow><mml:mo stretchy=\\\"false\\\">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>g.s.</mml:mtext></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy=\\\"false\\\">)</mml:mo></mml:mrow><mml:msup><mml:mrow><mml:mo>→</mml:mo><mml:mspace width=\\\"0.27em\\\"/></mml:mrow><mml:mrow><mml:mn>113</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant=\\\"normal\\\">I</mml:mi><mml:mi mathvariant=\\\"normal\\\">n</mml:mi><mml:mrow><mml:mo stretchy=\\\"false\\\">(</mml:mo><mml:mrow><mml:mn>9</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>g.s.</mml:mtext></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy=\\\"false\\\">)</mml:mo></mml:mrow></mml:math></jats:inline-formula> and <jats:sup>115</jats:sup><jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi mathvariant=\\\"normal\\\">I</mml:mi><mml:mi mathvariant=\\\"normal\\\">n</mml:mi><mml:mrow><mml:mo stretchy=\\\"false\\\">(</mml:mo><mml:mrow><mml:mn>9</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>g.s.</mml:mtext></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy=\\\"false\\\">)</mml:mo></mml:mrow><mml:msup><mml:mrow><mml:mo>→</mml:mo><mml:mspace width=\\\"0.27em\\\"/></mml:mrow><mml:mrow><mml:mn>115</mml:mn></mml:mrow></mml:msup><mml:mi mathvariant=\\\"normal\\\">S</mml:mi><mml:mi mathvariant=\\\"normal\\\">n</mml:mi><mml:mrow><mml:mo stretchy=\\\"false\\\">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:msubsup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mtext>g.s.</mml:mtext></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow><mml:mo stretchy=\\\"false\\\">)</mml:mo></mml:mrow></mml:math></jats:inline-formula> represent theoretically and experimentally much-studied cases where the total <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectra consist of these single transitions. In these particular cases the TAGS method could be used to assess the effective value of <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mtext>A</mml:mtext></mml:mrow></mml:msub></mml:math></jats:inline-formula>. In the present work we have identified five more interesting cases where a total <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> spectrum consists of a single transition. These spectra correspond to second-forbidden nonunique transitions and are <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:msub><mml:mrow><mml:mi>g</mml:mi></mml:mrow><mml:mrow><mml:mtext>A</mml:mtext></mml:mrow></mml:msub></mml:math></jats:inline-formula> and/or sNME dependent, where sNME denotes the so-called small relativistic vector nuclear matrix element. These studies have been performed using the nuclear shell model with well established effective Hamiltonians. With this we target to <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula> transitions that would potentially be of high interest for the TAGS and present and future dedicated <jats:inline-formula><mml:math xmlns:mml=\\\"http://www.w3.org/1998/Math/MathML\\\"><mml:mi>β</mml:mi></mml:math></jats:inline-formula>-spectrum experiments.\",\"PeriodicalId\":12507,\"journal\":{\"name\":\"Frontiers in Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2024-08-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Frontiers in Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.3389/fphy.2024.1455778\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Frontiers in Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.3389/fphy.2024.1455778","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0

摘要

对 β 电子(在 β 衰变跃迁中发射的电子)及其 β 电子能谱的实验和理论研究近来迅速发展。这些 β 光谱形状已被用于研究裂变产物原子核的总β 光谱,以寻求反应堆通量异常的解释;也被用于研究单个 β 转变,以寻找对弱轴向耦合的有效值 gA 敏感的 β 光谱形状。在前一种情况下,可以有效地利用 TAGS(伽马射线全吸收光谱)来测量总 β 光谱形状,而在后一种情况下,则对涉及的被禁止的非独特 β 转变进行了专门测量。第四个被禁止的非独特衰变转换 113Cd(1/2g.s.+)→113In(9/2g.s.+) 和 115In(9/2g.s.+)→115Sn(1/2g.s.+) 代表了理论和实验上研究较多的总 β 光谱由这些单一转换组成的情况。在这些特殊情况下,TAGS 方法可用于评估 gA 的有效值。在本研究中,我们还发现了五个由单一转变组成的总 β 光谱的有趣案例。这些光谱对应于二次禁止的非唯一转变,并且与 gA 和/或 sNME 有关,其中 sNME 表示所谓的小相对论矢量核矩阵元素。这些研究是利用核壳模型和已确立的有效哈密尔顿来进行的。因此,我们将目标锁定在对 TAGS 以及现在和未来的专用 β 谱实验具有潜在重要意义的 β 转变上。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Spectral shapes of second-forbidden single-transition nonunique β decays assessed using the nuclear shell model
Experimental and theoretical studies of β electrons (electrons emitted in β-decay transitions) and their β-electron spectra have recently experienced a rapid expansion. These β spectral shapes have been used to study total β spectra of fission-product nuclei in the quest for explanation of the reactor-flux anomalies, and individual β transitions in search for β spectral shapes sensitive to the effective value of the weak axial coupling gA. In the former case the TAGS (total absorption gamma-ray spectroscopy) can be efficiently used to measure the total β spectral shapes and in the latter case dedicated measurements of the involved forbidden nonunique β transitions have been deployed. The fourth-forbidden nonunique decay transitions 113Cd(1/2g.s.+)113In(9/2g.s.+) and 115In(9/2g.s.+)115Sn(1/2g.s.+) represent theoretically and experimentally much-studied cases where the total β spectra consist of these single transitions. In these particular cases the TAGS method could be used to assess the effective value of gA. In the present work we have identified five more interesting cases where a total β spectrum consists of a single transition. These spectra correspond to second-forbidden nonunique transitions and are gA and/or sNME dependent, where sNME denotes the so-called small relativistic vector nuclear matrix element. These studies have been performed using the nuclear shell model with well established effective Hamiltonians. With this we target to β transitions that would potentially be of high interest for the TAGS and present and future dedicated β-spectrum experiments.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Frontiers in Physics
Frontiers in Physics Mathematics-Mathematical Physics
CiteScore
4.50
自引率
6.50%
发文量
1215
审稿时长
12 weeks
期刊介绍: Frontiers in Physics publishes rigorously peer-reviewed research across the entire field, from experimental, to computational and theoretical physics. This multidisciplinary open-access journal is at the forefront of disseminating and communicating scientific knowledge and impactful discoveries to researchers, academics, engineers and the public worldwide.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信