Twelve-quark hypernuclei with A = 4 in a relativistic quark–gluon model

Abstract

Hypernuclei [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], with the atomic (baryon) number [Formula: see text], are described by the relativistic twelve-quark equations in the framework of the dispersion relation technique. Hypernuclei as the systems of interacting quarks and gluons are considered. The relativistic twelve-quark amplitudes of hypernuclei, including the constituent quarks of three flavors [Formula: see text], [Formula: see text], [Formula: see text] are calculated. The approximate solutions of these equations are obtained using a method based on 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 [Formula: see text]. The mass and the binding energy of state [Formula: see text] with the isospin projection [Formula: see text] and the spin-parity [Formula: see text] is equal to [Formula: see text] and [Formula: see text], respectively. We predict the mass spectrum of hypernuclei with [Formula: see text], which is valuable for further experimental study of the hypernuclei.