Spectrum and Decay Properties of Bottomonium Mesons

TL;DR

This paper models the spectrum, wave functions, and decay properties of bottomonium mesons using potential models and decay width calculations, comparing results with experimental data.

Contribution

It introduces a comprehensive calculation of bottomonium spectrum, wave functions, and decay widths using a non-relativistic potential model and $^3P_0$ decay model, with fitted wave function parameters.

Findings

Calculated meson masses and widths agree with experimental data.

Determined radiative and strong decay widths and branching ratios.

Fitted wave function parameters for various bottomonium states.

Abstract

We calculate the spectrum and wave functions (WFs) of various states of bottomonium mesons ($b\overline{b}$) using a non-relativistic quark potential model (NRQPM). The calculated WFs are used to compute the radiative widths of various states of $b\overline{b}$. The strong decays widths of bottomonium states are also calculated using $^3P_0$ model by choosing simple harmonic oscillator wave functions (SHOWFs). The $\beta$ of SHOWFs for various states of the mesons are measured by fitting the numerical wave functions. The radiative and strong decay widths are used to calculate the branching ratios of $b\overline{b}$ mesons. We also compare our calculated masses and widths with available experimental data.