hypernuclei based on interactions from chiral effective field theory

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