Molecular state ${\Sigma }_b{\Sigma }_b^{\ast }$ in the coupled-channel formalism

Abstract

In the framework of the dispersion relation technique the relativistic six-quark equations for the molecule ${\Sigma }_b{\Sigma }_b^{\ast }$ 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 ${\Sigma }_b{\Sigma }_b^{\ast }$ state $M=11620MeV$. The binding energy is equal to $27MeV$.

5 pages. arXiv admin note: text overlap with arXiv:1012.3812 by other authors