{"title":"The IBM description of the b(E2) anomaly: Dynamical triaxiality and configuration mixing","authors":"Wei Teng, Sheng Nan Wang, Xian Zhi Zhao, Yu Zhang","doi":"10.1016/j.nuclphysa.2025.123214","DOIUrl":null,"url":null,"abstract":"<div><div>A theoretical investigation has been carried out to examine the effects of dynamical triaxility and configuration mixing on the <span><math><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>)</mo></math></span> anomaly, characterized by <span><math><msub><mrow><mi>B</mi></mrow><mrow><mn>4</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>=</mo><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>;</mo><msubsup><mrow><mn>4</mn></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup><mo>→</mo><msubsup><mrow><mn>2</mn></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup><mo>)</mo><mo>/</mo><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>;</mo><msubsup><mrow><mn>2</mn></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup><mo>→</mo><msubsup><mrow><mn>0</mn></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup><mo>)</mo><mo><</mo><mn>1.0</mn></math></span> and <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>4</mn><mo>/</mo><mn>2</mn></mrow></msub><mo>=</mo><mi>E</mi><mo>(</mo><msubsup><mrow><mn>4</mn></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup><mo>)</mo><mo>/</mo><mi>E</mi><mo>(</mo><msubsup><mrow><mn>2</mn></mrow><mrow><mn>1</mn></mrow><mrow><mo>+</mo></mrow></msubsup><mo>)</mo><mo>≥</mo><mn>2.0</mn></math></span>, within the framework of the interacting boson model (IBM). The results indicate that the effective <em>γ</em> deformation may undergo substantial changes with increasing angular momentum in the <span><math><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>)</mo></math></span> anomaly system governed by an IBM Hamiltonian involving rotor-like terms. Further calculations reveal that mixing between normal and intruder states may facilitate the emergence of <span><math><mi>B</mi><mo>(</mo><mi>E</mi><mn>2</mn><mo>)</mo></math></span> anomaly, thereby providing additional theoretical insights into this unusual phenomenon.</div></div>","PeriodicalId":19246,"journal":{"name":"Nuclear Physics A","volume":"1063 ","pages":"Article 123214"},"PeriodicalIF":2.5000,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375947425002003","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
Abstract
A theoretical investigation has been carried out to examine the effects of dynamical triaxility and configuration mixing on the anomaly, characterized by and , within the framework of the interacting boson model (IBM). The results indicate that the effective γ deformation may undergo substantial changes with increasing angular momentum in the anomaly system governed by an IBM Hamiltonian involving rotor-like terms. Further calculations reveal that mixing between normal and intruder states may facilitate the emergence of anomaly, thereby providing additional theoretical insights into this unusual phenomenon.
期刊介绍:
Nuclear Physics A focuses on the domain of nuclear and hadronic physics and includes the following subsections: Nuclear Structure and Dynamics; Intermediate and High Energy Heavy Ion Physics; Hadronic Physics; Electromagnetic and Weak Interactions; Nuclear Astrophysics. The emphasis is on original research papers. A number of carefully selected and reviewed conference proceedings are published as an integral part of the journal.