Higher Hybrid Bottomonia in an Extended Potential Model

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 Schrödinger 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 ϒ(10860), ϒ(11020), and Yb(10890) mesons by comparing their experimental masses and decay widths to our results.

Note:

20 pages,1 figures

bottomonium: hybrid
bottomonium: mass
bottomonium: wave function
bottomonium: excited state
quark: potential model
numerical calculations
quantum chromodynamics
perturbation theory: correction
correction: relativistic
X/b

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ShiLin Zhu, Proceedings, 30th International Workshop on High Energy Physics: Particle and Astroparticle Physics, Gravitation and Cosmology: Predictions, Observations and New Projects (IHEP) : Protvino, Russia, June 23-27