Mass Spectrum, Radii, and Radiative Decay Widths 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.

Comments: 16 pages, 3 figures, 13 tables