6${}^{+}$ isomers in neutron-rich Sn-isotopes beyond N$=82$ and effective interaction

Abstract

Recent observation of the 6${}^{+}$ seniority isomers and measurements of the B$(E2)$ values in the ${}^{134-138}$Sn isotopes lying close to the neutron drip line have raised some questions about the validity of the currently used effective interactions in the neutron-rich region. Simpson $et$ $al.$ [Phys. Rev. Lett. $\text{113}$, 132502 (2014)] had to modify the diagonal and non-diagonal $\nu f_{7/2}^2$ two body matrix elements of the "$Vlk$" interaction by $\sim 150$ keV in their shell model calculations in order to explain the data of ${}^{136}$Sn. In contrast, we are able to explain the observed energy levels and the B$(E2)$ values after marginal reduction of the same set of matrix elements by $25$ keV in the "RCDB" (Renormalized CD-Bonn) interaction. The observed mismatch in reproducing the data of ${}^{136}$Sn is due to the seniority mixing. Further, we do not find it necessary to consider the core excitations, and the "RCDB" interaction seems better suited to explain the data beyond N$=82$ magic number.

arXiv comment5 pages, 4 figures

References in corpus (8)

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• Magnetic moments of the 2${}_1^{+}$ states around ${}^{132}$Sn
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Cited by in corpus (9)

• Atlas of Nuclear Isomers -- Second Edition
• Isomerism in the "south-east" of ${}^{132}$Sn and a predicted neutron-decaying isomer in ${}^{129}$Pd
• Asymmetric behavior of the B$(E2\uparrow ;0^{+}\to 2^{+})$ values in ${}^{104-130}$Sn and Generalized Seniority
• Overview of Seniority Isomers
• The kinks in charge radii across $N$ = 82 and 126 revisited
• Generalized Seniority Schmidt Model and the g-factors in Semi-magic Nuclei
• $\Delta v=2$ seniority changing transitions in yrast $3^{-}$ states and B(E3) systematics of Sn isotopes
• Minimal Theory of Isomerism -Q.Q and Other Interactions
• Partial conservation of seniority in semi-magic nuclei