$A=4-7$ $\Xi$ hypernuclei based on interactions from chiral effective field theory

TL;DR

This study predicts the existence of several bound $ ext{Xi}$ hypernuclei with A=4-7 using chiral effective field theory interactions, indicating potential new stable hypernuclear states.

Contribution

First comprehensive calculation of bound $ ext{Xi}$ hypernuclei with A=4-7 using chiral EFT interactions and the Jacobi NCSM approach.

Findings

Identified three shallow bound NNN$ ext{Xi}$ states with similar binding energies.

Confirmed bound states for $^5_{ ext{Xi}} ext{H}$ and $^7_{ ext{Xi}} ext{H}$ hypernuclei.

Binding primarily due to attraction in the chiral $ ext{Xi}$N potential in the $^{33}S_1$ channel.

Abstract

We investigate the existence of bound $\Xi$ \break states in systems with $A=4-7$ baryons using the Jacobi NCSM approach in combination with chiral NN and $\Xi$N interactions. We find three shallow bound states for the NNN$\Xi$ system (with $(J^\pi,T)=(1^+,0)$, $(0^+,1)$ and $(1^+,1)$) with quite similar binding energies. The $^5_{\Xi}\mathrm{H}(\frac{1}{2}^+,\frac{1}{2})$ and $^7_{\Xi}\mathrm{H}(\frac{1}{2}^+,\frac{3}{2})$ hypernuclei are also clearly bound with respect to the thresholds $^4\mathrm{He} + \Xi$ and $^6\mathrm{He} +\Xi$, respectively. The binding of all these $\Xi$ systems is predominantly due to the attraction of the chiral $\Xi$N potential in the $^{33}S_1$ channel. A perturbative estimation suggests that the decay widths of all the observed states could be rather small.