Higher hybrid bottomonia in an extended potential model

Abstract

Using our extension of the quark potential model to hybrid mesons that fits well with the available lattice results, we now calculate the masses, radii, wave functions at the origin, leptonic and two-photon decay widths, and $E1$ and $M1$ radiative transitions for a significant number of bottomonium mesons. These mesons include both conventional and hybrid ones with radial and angular excitations. Our numerical solutions of the Schr\"odinger equation are related to QCD through the Born-Oppenheimer approach. Relativistic corrections in masses and decay widths are also calculated by applying the leading-order perturbation theory. The calculated results are compared with available experimental data and the theoretical results by other groups. We also identify the states of $\mathrm{\ensuremath{\Upsilon}}(10860)$, $\mathrm{\ensuremath{\Upsilon}}(11020)$, and ${Y}_{b}(10890)$ mesons by comparing their experimental masses and decay widths to our results.