A monopole-optimized effective interaction for tin isotopes

TL;DR

This paper develops a new effective interaction for shell model calculations of tin isotopes, based on a realistic nucleon-nucleon potential, and uses it to analyze nuclear structure phenomena.

Contribution

It introduces a globally optimized effective interaction derived from the CD-Bonn potential, fitted to a large set of experimental binding energies for tin isotopes.

Findings

Reproduces binding energies of 157 low-lying states in tin isotopes.

Explains the spin inversion between $^{101}$Sn and $^{103}$Sn.

Analyzes the role of interaction terms beyond pairing.

Abstract

We present a systematic configuration-interaction shell model calculation on the structure of light tin isotopes with a new global optimized effective interaction. The starting point of the calculation is the realistic CD-Bonn nucleon-nucleon potential. The unknown single-particle energies of the $1d_{3/2}$, $2s_{1/2}$ and $0h_{11/2}$ orbitals and the T=1 monopole interactions are determined by fitting to the binding energies of 157 low-lying yrast states in $^{102-132}$Sn. We apply the Hamiltonian to analyze the origin of the spin inversion between $^{101}$Sn and $^{103}$Sn that was observed recently and to explore the possible contribution from interaction terms beyond the normal pairing.