Mean field approaches for $\Xi^-$ hypernuclei and current experimental data

TL;DR

This paper uses mean field models to analyze the structure of $ ext{Xi}^-$ hypernuclei, specifically $^{15}_{ ext{Xi}}$C, and compares theoretical predictions with recent experimental data to identify the most probable nuclear state.

Contribution

It applies relativistic-mean-field and Skyrme-Hartree-Fock models with tailored $ ext{Xi}N$ interactions to interpret recent hypernuclear experimental observations.

Findings

The preferred state is $^{14} ext{N}( ext{g.s.})+ ext{Xi}^-(1p)$.

The $ ext{Xi}^-$ removal energy is consistent with the lower experimental value.

The models successfully reproduce observed $ ext{Xi}^-$ energies.

Abstract

Motivated by the recently observed hypernucleus (Kiso event) $^{15}_{\Xi}$C ($^{14}$N$+\Xi^-$), we identify the state of this system theoretically within the framework of the relativistic-mean-field and Skyrme-Hartree-Fock models. The $\Xi N$ interactions are constructed to reproduce the two possibly observed $\Xi^-$ removal energies, $4.38\pm 0.25$ MeV or $1.11\pm 0.25$ MeV. The present result is preferable to be $^{14}{\rm N}({\rm g.s.})+\Xi^-(1p)$, corresponding to the latter value.