Quarkonium spectroscopy of the linear plus modified Yukawa potential

TL;DR

This paper develops an analytical approach to compute the mass spectra of heavy mesons using a linear plus modified Yukawa potential within the Klein-Gordon framework, showing good agreement with experimental data.

Contribution

It introduces an analytical solution for the Klein-Gordon equation with the LIMYP potential for heavy mesons, expanding theoretical understanding of quarkonium spectra.

Findings

Mass spectra of charmonium, bottomonium, and $bar{c}$ mesons were calculated.

Results show good agreement with experimental data.

Graphical analysis demonstrates the potential's effectiveness.

Abstract

In this article, the linear plus modified Yukawa potential (LIMYP) is used as the quark antiquark interaction potential for the approximate analytical bound state solution of the Klein Gordon equation in three-dimensional space. The energy eigenvalues and associated wavefunction are obtained by solving the Klein Gordon equation analytically using the Nikiforov Uvarov (NU) method. The mass spectra of heavy mesons such as charmonium $(c\bar{c})$, bottomonium $(b\bar{b})$, and $b\bar{c}$ for various quantum states are obtained using the energy spectra expression. In comparison to experimental data, graphical modification of acquired mass spectra of heavy mesons with the parameter employed in the energy equation and the current potential provides good results.