Molecular state $N\Xi$ in the coupled-channel formalism

Abstract

The relativistic six-quark equations for the molecule $N\Xi$ are found in the dispersion relation technique. The relativistic six-quark amplitudes of the hexaquark including the quarks of three flavors ($u$, $d$, $s$) are calculated. The pole of these amplitudes determines the mass of $N\Xi$ state $M=2252\, MeV$. The binding energy is equal to $3\, MeV$.