Heavy-Meson Masses in the Framework of Trigonometric Rosen-Morse Potential Using the Generalized Fractional Derivative

TL;DR

This paper uses a fractional calculus approach with the Rosen-Morse potential to analytically calculate heavy meson masses, achieving results that align well with experimental data and highlighting the importance of the fractional parameter.

Contribution

It introduces a fractional derivative method with the Rosen-Morse potential to analytically determine meson masses, improving upon previous models.

Findings

Accurate meson mass calculations for charmonium, bottomonium, and heavy-light mesons.

The fractional parameter significantly influences the mass predictions.

Results show good agreement with experimental data.

Abstract

Trigonometric Rosen-Morse Potential is employed as a mesonic potential interaction. The extended Nikiforov-Uvarov method is used to solve the N-radial Fractional Schrodinger equation analytically. Using the generalized fractional derivative, the energy eigenvalues are obtained in the fractional form. The current findings are used to calculate the masses of mesons such as charmonium, bottomonium, and heavy-light mesons. The current findings are superior to those of other recent studies and show good agreement with experimental data as a result, the fractional parameter is crucial in optimizing meson masses.