Mass Spectrum, Radii, and Radiative Decay Widths of Toponium

TL;DR

This paper numerically solves the Schrödinger equation for toponium using a non-relativistic potential model to compute its spectrum, radii, and decay widths, providing data useful for experimental studies.

Contribution

It introduces a numerical approach to calculate toponium properties with a non-relativistic potential model, including wave functions, masses, radii, and decay widths, and compares results with existing theories.

Findings

Calculated toponium masses and radii agree with recent theoretical data.

Computed radiative transition rates and branching ratios for various states.

Provided detailed numerical data to aid experimental detection of toponium.

Abstract

In this work, radial Schrodinger equation with a non-relativistic quark potential model (NRQPM) is solved numerically by employing the shooting method. Calculated numerical wave functions (or solutions) are used to compute the masses, root mean square (RMS) radii, $E1$ and $M1$ radiative transitions, and branching ratios of $S, P, D$ and $F$ states of toponium mesons ($t\overline{t}$). Calculated results are compared with recently available theoretical data. This work will be helpful for experimentalists in gaining a deeper understanding of toponium states.