Heavy hypernuclei with $A=3$ in a relativistic quark-gluon model

Abstract

We generalized our approach to the hypernuclei with $A=B=3$ containing one charm or one bottom quark. We derive the relativistic nine-quark equations using the dispersion relation technique. The hypernuclei as the system of interacting quarks and gluons are considered. The relativistic nine-quark amplitudes of hypernuclei, including the constituent quarks with the charm or bottom are calculated. The approximate solutions of these equations are obtained using a method based on the extraction of leading singularities of the amplitudes. The poles of the multiquark amplitudes allow us to determine the masses and the binding energy of hypernuclei with the $A=3$. We predict the mass spectrum of hypernuclei with $A=3$, which is valuable to further experimental study of the hypernuclei with charm and bottom.