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

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 $^4mathrm{He} + Xi$ and $^6mathrm{He} +Xi$, 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.