Heavy Quarkonia, Heavy-Light Tetraquarks and the Chiral Quark-Soliton Model

Abstract

We apply the Chiral Quark-Soliton Model used previously to describe baryons with one heavy quark to the case of heavy tetraquarks. We argue, that the model is insenstive to the nature of the heavy object bound by the soliton, i.e. to its mass and spin. Therefore, a heavy quark can be replaced by an anti-diquark without modifying the soliton background. Diquark dynamics is taken into account by means of the nonrelarivistic Schr\"odinger equation with the Cornell potential. We fix the Cornell potential parameters from the charmonia and bottomia spectra. We first compute $B_c$ meson masses to check our fitting procedure, and then compute diquark masses by appropriately rescaling color factors in the Cornell potential. We ten compute tetraquark masses and confirm previous findings that only $bb$ tetraquarks are bound.