Microscopic investigation of $E2$ matrix elements in atomic nuclei
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916629757034496 |
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| author | Rouoof, S. P. Nazir, Nazira Jehangir, S. Bhat, G. H. Sheikh, J. A. Rather, N. Frauendorf, S. |
| author_facet | Rouoof, S. P. Nazir, Nazira Jehangir, S. Bhat, G. H. Sheikh, J. A. Rather, N. Frauendorf, S. |
| contents | A systematic analysis of $E2$ matrix elements of $^{72}$Ge, $^{76}$Ge, $^{168}$Er, $^{186}$Os, $^{188}$Os, $^{190}$Os, $^{192}$Os and $^{194}$Pt nuclides is performed using the beyond mean-field approach of triaxial projected shell model (TPSM). For these nuclei, large sets of $E2$ matrix elements have been deduced from the multi-step Coulomb excitation experiments, and it is shown that TPSM approach provides a reasonable description of the measured transitions. We have evaluated 1496 $E2$ matrix elements up to spin, $I=10$ for the eight nuclei studied, and tabulate them for future experimental and theoretical comparisons. Further, shape invariant analysis has been performed with the calculated $E2$ transitions using the Kumar-Cline sum rules. It is inferred from the analysis that the resulting shape, after configuration mixing of the quasiparticle states, transforms from $γ$-rigid to that of $γ$-soft for some nuclei, in conformity with the experimental data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18076 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Microscopic investigation of $E2$ matrix elements in atomic nuclei Rouoof, S. P. Nazir, Nazira Jehangir, S. Bhat, G. H. Sheikh, J. A. Rather, N. Frauendorf, S. Nuclear Theory Nuclear Experiment A systematic analysis of $E2$ matrix elements of $^{72}$Ge, $^{76}$Ge, $^{168}$Er, $^{186}$Os, $^{188}$Os, $^{190}$Os, $^{192}$Os and $^{194}$Pt nuclides is performed using the beyond mean-field approach of triaxial projected shell model (TPSM). For these nuclei, large sets of $E2$ matrix elements have been deduced from the multi-step Coulomb excitation experiments, and it is shown that TPSM approach provides a reasonable description of the measured transitions. We have evaluated 1496 $E2$ matrix elements up to spin, $I=10$ for the eight nuclei studied, and tabulate them for future experimental and theoretical comparisons. Further, shape invariant analysis has been performed with the calculated $E2$ transitions using the Kumar-Cline sum rules. It is inferred from the analysis that the resulting shape, after configuration mixing of the quasiparticle states, transforms from $γ$-rigid to that of $γ$-soft for some nuclei, in conformity with the experimental data. |
| title | Microscopic investigation of $E2$ matrix elements in atomic nuclei |
| topic | Nuclear Theory Nuclear Experiment |
| url | https://arxiv.org/abs/2502.18076 |