Effective interactions and shell model studies of heavy tin isotopes

Abstract

We present results from large-scale shell model calculations of even and odd tin isotopes from $^{134}\mathrm{Sn}$ to $^{142}\mathrm{Sn}$ with a shell model space defined by the $1{f}_{7/2}$, $2{p}_{3/2}$, $0{h}_{9/2}$, $2{p}_{1/2}$, $1{f}_{5/2}$, and $0{i}_{13/2}$ single-particle orbits. An effective two-body interaction based on modern nucleon-nucleon interactions is employed. The shell model results are in turn analyzed for their pairing content using a generalized seniority approach. Our results indicate that a pairing model picture captures a great deal of the structure and the correlations of the lowest lying states for even and odd isotopes.