$^{35,37,39}$S isotopes in $sd-pf$ space : Shell-model interpretation

TL;DR

This paper uses shell model calculations with SDPF-U and SDPFMW interactions to analyze the structure of sulfur isotopes $^{35,37,39}$S, comparing results with experimental data to understand their nuclear configurations.

Contribution

It provides a comprehensive shell model interpretation of sulfur isotopes in the $sd$-$pf$ space, highlighting the role of in-shell and inter-shell excitations with different interactions.

Findings

Good agreement of calculated energy levels with experimental data

Natural parity states described by in-shell mixing

Unnatural parity states require neutron excitations across shells

Abstract

The structure of $^{35,37,39}$S isotopes is described by performing comprehensive shell model calculations with SDPF-U and SDPFMW interactions. Protons and neutrons are restricted to the $sd$-shell for $N < 20$, neutrons start to fill the $pf$-shell for $N > 20$. Natural parity states are described by only in-shell mixing, unnatural parity states with 1p-1h inter-shell neutron excitations. With SDPF-U interaction, reported are the results for natural parity states only because this interaction is not suitable for cross shell excitations. Calculated energy levels, electromagnetic properties and spectroscopic factors are in good agreement with the recently available experimental data.