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arXiv · 2604.10972

Microscopic investigation of $E2$ matrix elements in atomic nuclei -- II

Kouser Qureshie·S. P. Rouoof·J. A. Sheikh·N. Rather·S. Jehangir·G. H. Bhat·S. Frauendorf
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Abstract

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 $\gamma$ 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 $\gamma$ band and the deduced shape invariant quantities using the Kumar-Cline sum rules.

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Kouser Qureshie, S. P. Rouoof, J. A. Sheikh, N. Rather, S. Jehangir, G. H. Bhat, S. Frauendorf. 2026-04-13. Microscopic investigation of $E2$ matrix elements in atomic nuclei -- II. https://arxiv.org/abs/2604.10972

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