English

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

Nuclear Theory 2026-04-14 v1

Abstract

The present work is a continuation of our earlier investigation with the primary objective to systematically calculate the E2E2 matrix elements using the microscopic approach of the triaxial projected shell model (TPSM). In the earlier work, we studied nine nuclides of 72^{72}Ge, 76^{76}Ge, 104^{104}Ru, 168^{168}Er, 186^{186}Os, 188^{188}Os, 190^{190}Os, 192^{192}Os, and 194^{194}Pt. In the present work six more nuclides of 70^{70}Ge, 76,78,80,82^{76,78,80,82}Se, and 100^{100}Mo have been investigated. The Coulomb excitation data has recently become available for 70^{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^{76}Se and 100^{100}Mo, are shown to have γ\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 γ\gamma band and the deduced shape invariant quantities using the Kumar-Cline sum rules.

Keywords

Cite

@article{arxiv.2604.10972,
  title  = {Microscopic investigation of $E2$ matrix elements in atomic nuclei -- II},
  author = {Kouser Qureshie and S. P. Rouoof and J. A. Sheikh and N. Rather and S. Jehangir and G. H. Bhat and S. Frauendorf},
  journal= {arXiv preprint arXiv:2604.10972},
  year   = {2026}
}

Comments

17 pages, 18 figures

R2 v1 2026-07-01T12:05:34.132Z