Beauty Hadron Spectrum in a Screened Potential Model

Abstract

The mass spectrum of beauty hadrons ($b\overline{b}$ and $bbb$ baryons) and $bb$-diquarks are computed in a non-relativistic phenomenological potential model. The potential comprises of a short-range Coulomb potential, a screened confinement potential, and $O(1/m)$ corrections predicted from lattice and pNRQCD studies. Among the spin-dependent interactions, spin-spin interaction is considered non-perturbatively, whereas spin-orbit and tensor interactions are considered perturbatively. The Matrix-Numerov method is used to numerically solve the non-relativistic Schrodinger equation to evaluate the mass spectra. We interpret $\Upsilon(10753)$ as $D$-wave bottomonium state and $\Upsilon(10860)$ and $\Upsilon(11020)$ as $S$-wave bottomonium states. The mass spectrum of $bbb$ baryons are evaluated under the diquark-quark model. The excited masses are computed by considering various radial and orbital excitations of the diquark as well as the diquark-quark system.