In-medium properties of a $\mathrm{\Xi }N$ interaction derived from chiral effective field theory

The in-medium properties of a baryon-baryon interaction for the strangeness $S=-2$ sector derived within chiral effective field theory up to next-to-leading order are investigated. The considered $\mathrm{\Xi }N$ interaction is in line with available empirical constraints on the $\mathrm{\Lambda }\mathrm{\Lambda }$ $S$-wave scattering length and on $\mathrm{\Xi }N$ elastic and inelastic cross sections. In particular, there are no near-threshold bound states in the $\mathrm{\Xi }N$ system. A conventional $G$-matrix calculation for this interaction is performed and reveals that the single-particle potential of the $\mathrm{\Xi }$-hyperon in nuclear matter is moderately attractive as suggested by recent experimental evidence for the existence of $\mathrm{\Xi }$-hypernuclei.