Asymmetric behavior of the B$(E2\uparrow ;0^{+}\to 2^{+})$ values in ${}^{104-130}$Sn and Generalized Seniority

Abstract

We present freshly evaluated B$(E2\uparrow ;0^{+}\to 2^{+})$ values across the even-even Sn-isotopes which confirm the presence of an asymmetric behavior as well as a dip in the middle of the full valence space. We explain these features by using the concept of generalized seniority. The dip in the B$(E2)$ values near ${}^{116}$Sn is understood in terms of a change in the dominant orbits before and after the mid shell, which also explains the presence of asymmetric peaks in the B$(E2)$ values. This approach helps in deciding the most active valence spaces for a given set of isotopes, and single out the most useful truncation scheme for Large Scale Shell Model (LSSM) calculations. The LSSM calculations so guided by generalized seniority are also able to reproduce the experimental data on B$(E2)\uparrow$ values quite well.

Accepted in Nuclear Physics A

References in corpus (3)

• Z=50 shell gap near ${}^{100}$Sn from intermediate-energy Coulomb excitations in even-mass ${}^{106--112}$Sn isotopes
• Odd tensor electric transitions in high-spin Sn-isomers and generalized seniority
• 6${}^{+}$ isomers in neutron-rich Sn-isotopes beyond N$=82$ and effective interaction

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• Evolution of nuclear structure in and around Z=50 closed shell: Generalized Seniority in Cd, Sn and Te isotopes
• Overview of Seniority Isomers
• 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
• Generalized seniority isomers in and around $Z=82$ closed shell: a survey of Hg, Pb and Po isotopes
• A unified view of the first-excited $2^{+}$ and $3^{-}$ states of Cd, Sn and Te isotopes
• A puzzle on isomeric configurations in and around $N=126$ closed shell
• Monopole and Seniority Truncations in the Large-Scale Configuration Interaction Shell Model Approach
• A nucleon-pair and boson coexistent description of nuclei
• g-factor calculations from the generalized seniority approach