Molecular state $\Sigma_b \Sigma_b^*$ in the coupled-channel formalism

Abstract

In the framework of the dispersion relation technique the relativistic six-quark equations for the molecule $\Sigma_b \Sigma_b^*$ are found. The relativistic six-quark amplitudes of the hexaquark including the quarks of three flavors ($u$, $d$, $b$) are calculated. The pole of these amplitudes determines the mass of $\Sigma_b \Sigma_b^*$ state $M=11620\, MeV$. The binding energy is equal to $27\, MeV$.