Calculating the binding energies and masses of fully heavy tetraquarks

Abstract In this study, we incorporate scalar and vector potential functions into the Dirac equation, leading us to a Schrödinger-like equation that we then solve for a two-body system. We consider the quark-quark potential and calculate the binding energies and masses of both bb and c.c. diquarks, as well as their antiparticles. Tetraquarks are hypothesized to be composed of axial-vector diquarks and antidiquarks in a color antitriplet-triplet configuration. We also calculate the binding energies and masses of mesons. By introducing the generalized Cornell potential into the semi-Schrödinger equation, we determine the binding energies and masses of the desired tetraquarks in both the diquark-antidiquark and meson-meson pictures. Furthermore, we investigate the effects of spin-spin, isospin-isospin, and spin-isospin interactions. Finally, we compare our results with those from other sources.