Hexaquarks in the coupled-channel formalism

The relativistic six-quark equations are found in the framework of the dispersion relation technique. The approximate solutions of these equations using the method based on the extraction of leading singularities of the amplitudes are obtained. The relativistic six-quark amplitudes of hexaquarks, including the quarks of three flavors (u, d, s) are calculated. The poles of these amplitudes determine the masses of six-quark systems. The deuteron mass M = 1865 MeV is calculated. The mixture of S- and D-wave contributions to the deuteron state is obtained. For the system with strangeness S = -3(N Omega SIJ = -3 1/2 2) the mass M = 2573 MeV is predicted.