$p$-shell hypernuclear structures using the Gogny-interaction shell model

TL;DR

This paper employs a shell model with the Gogny interaction to systematically study the excitation spectra and binding energies of p-shell hypernuclei, providing a new approach that aligns well with experimental data.

Contribution

It introduces the use of the Gogny force in shell model calculations for p-shell hypernuclei, replacing the traditional empirical interactions, and demonstrates its effectiveness.

Findings

Gogny-force-based shell model accurately describes p-shell nuclei spectra.

Calculated hypernuclear spectra agree with recent experimental gamma-ray data.

The approach explains observed hypernuclear excitation spectra at JLab.

Abstract

We have systematically investigated the excitation spectra of $p$-shell hypernuclei within the shell model based on the nucleon-nucleon and hyperon-nucleon interactions. For the effective nucleon-nucleon interaction, we adopt the Gogny force instead of the widely-used empirical $p$-shell Cohen-Kurath interaction, while the hyperon-nucleon interaction takes the $\Lambda N$ interaction including the $\Lambda N$-$\Sigma N$ coupling effect. We find that the shell model with the Gogny force can give reasonable descriptions of both spectra and binding energies of the $p$-shell nuclei. With this confidence, combined with the $\Lambda N$ interaction, we have performed shell-model calculations for the $p$-shell hypernuclei. We compare our results with $\gamma$-ray data as well as various theoretical calculations, and explain recent experimental hypernuclear excitation spectra observed at JLab.