Effective shell-model interaction for nuclei southeast of $^{100}$Sn

TL;DR

This paper develops an effective shell-model interaction for nuclei southeast of $^{100}$Sn using chiral forces and coupled-cluster theory, enabling accurate calculations of low-lying states in this region.

Contribution

It introduces a novel method to construct shell-model interactions for nuclei southeast of $^{100}$Sn from first principles, combining coupled-cluster theory with similarity transformations.

Findings

Reasonable agreement with experimental data for low-lying states

Effective interactions applicable to neutron-deficient tin isotopes and $N=50$ isotones

Method can be extended to other nuclear regions

Abstract

We construct an effective shell-model interaction for the valence space spanned by single-particle neutron and single-hole proton states in $^{100}$Sn. Starting from chiral nucleon-nucleon and three-nucleon forces and single-reference coupled-cluster theory for $^{100}$Sn we apply a second similarity transformation that decouples the valence space. The particle-particle components of the resulting effective interaction can be used in shell model calculations for neutron deficient tin isotopes. The hole-hole interaction can be used to calculate the $N = 50$ isotones south of $^{100}$Sn, and the full particle-hole interaction describes nuclei in the region southeast of $^{100}$Sn. We compute low-lying excited states in selected nuclei southeast of $^{100}$Sn, and find reasonable agreement with data. The presented techniques can also be applied to construct effective shell-model interactions for other regions of the nuclear chart.