The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911147000594432 |
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| author | Teng, Wei Wang, Sheng Nan Zhao, Xian Zhi Zhang, Yu |
| author_facet | Teng, Wei Wang, Sheng Nan Zhao, Xian Zhi Zhang, Yu |
| contents | A theoretical investigation has been carried out to examine the effects of dynamical triaxility and configuration mixing on the $B(E2)$ anomaly, characterized by $B_{4/2}=B(E2;4_1^+\rightarrow2_1^+)/B(E2;2_1^+\rightarrow0_1^+)<1.0$ and $R_{4/2}=E(4_1^+)/E(2_1^+)\geq2.0$, 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 $B(E2)$ 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 $B(E2)$ anomaly, thereby providing additional theoretical insights into this unusual phenomenon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_08240 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing Teng, Wei Wang, Sheng Nan Zhao, Xian Zhi Zhang, Yu Nuclear Theory High Energy Physics - Phenomenology A theoretical investigation has been carried out to examine the effects of dynamical triaxility and configuration mixing on the $B(E2)$ anomaly, characterized by $B_{4/2}=B(E2;4_1^+\rightarrow2_1^+)/B(E2;2_1^+\rightarrow0_1^+)<1.0$ and $R_{4/2}=E(4_1^+)/E(2_1^+)\geq2.0$, 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 $B(E2)$ 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 $B(E2)$ anomaly, thereby providing additional theoretical insights into this unusual phenomenon. |
| title | The IBM Description of the B(E2) Anomaly: Dynamical Triaxiality and Configuration Mixing |
| topic | Nuclear Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.08240 |