Microscopic investigation of $E2$ matrix elements in atomic nuclei -- II
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866910123207688192 |
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| author | Qureshie, Kouser Rouoof, S. P. Sheikh, J. A. Rather, N. Jehangir, S. Bhat, G. H. Frauendorf, S. |
| author_facet | Qureshie, Kouser Rouoof, S. P. Sheikh, J. A. Rather, N. Jehangir, S. Bhat, G. H. Frauendorf, S. |
| contents | The present work is a continuation of our earlier investigation with the primary objective to systematically calculate the $E2$ matrix elements using the microscopic approach of the triaxial projected shell model (TPSM). In the earlier work, we studied nine nuclides of $^{72}$Ge, $^{76}$Ge, $^{104}$Ru, $^{168}$Er, $^{186}$Os, $^{188}$Os, $^{190}$Os, $^{192}$Os, and $^{194}$Pt. In the present work six more nuclides of $^{70}$Ge, $^{76,78,80,82}$Se, and $^{100}$Mo have been investigated. The Coulomb excitation data has recently become available for $^{70}$Ge and other nuclides were inadvertently omitted in our earlier investigation. It is demonstrated that TPSM approach provides a good description of the available experimental data and most of the nuclides, except for $^{76}$Se and $^{100}$Mo, are shown to have $γ$ soft behaviour. Further, it is demonstrated that in contrast to the predictions of the phenomenological collective model, TPSM calculations depict no clear correlation between the energy staggering pattern of the $γ$ band and the deduced shape invariant quantities using the Kumar-Cline sum rules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10972 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Microscopic investigation of $E2$ matrix elements in atomic nuclei -- II Qureshie, Kouser Rouoof, S. P. Sheikh, J. A. Rather, N. Jehangir, S. Bhat, G. H. Frauendorf, S. Nuclear Theory The present work is a continuation of our earlier investigation with the primary objective to systematically calculate the $E2$ matrix elements using the microscopic approach of the triaxial projected shell model (TPSM). In the earlier work, we studied nine nuclides of $^{72}$Ge, $^{76}$Ge, $^{104}$Ru, $^{168}$Er, $^{186}$Os, $^{188}$Os, $^{190}$Os, $^{192}$Os, and $^{194}$Pt. In the present work six more nuclides of $^{70}$Ge, $^{76,78,80,82}$Se, and $^{100}$Mo have been investigated. The Coulomb excitation data has recently become available for $^{70}$Ge and other nuclides were inadvertently omitted in our earlier investigation. It is demonstrated that TPSM approach provides a good description of the available experimental data and most of the nuclides, except for $^{76}$Se and $^{100}$Mo, are shown to have $γ$ soft behaviour. Further, it is demonstrated that in contrast to the predictions of the phenomenological collective model, TPSM calculations depict no clear correlation between the energy staggering pattern of the $γ$ band and the deduced shape invariant quantities using the Kumar-Cline sum rules. |
| title | Microscopic investigation of $E2$ matrix elements in atomic nuclei -- II |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2604.10972 |