Spectroscopy of Heavy-Light Mesons ($c\bar{s}$, $c\bar{q}$, $b\bar{s}$, $b\bar{q}$) for the linear plus modified Yukawa potential using Nikiforov-Uvarov Method

TL;DR

This paper analytically solves the Klein-Gordon equation for heavy-light mesons using a combined linear and modified Yukawa potential, providing mass spectra predictions that align well with experimental data.

Contribution

It introduces an analytical approach employing the Nikiforov-Uvarov method to study heavy-light meson spectra with a novel potential model.

Findings

Mass spectra match experimental data with minimal error in lower states.

The model accurately predicts higher quantum state energies with increasing screening effects.

Graphical analysis supports the theoretical mass predictions.

Abstract

An approximate bound state solution of the Klein-Gordon equation is derive analytically for the 3-dimensional space with a combination framework of linear plus modified Yukawa Potential (LIMYP) using the Nikiforov-Uvarov (N-U) method for obtaining the energy eigenvalues and corresponding wave function. A detailed study of mass spectra of all combination sets of heavy-light flavor mesons vis-a-vis $(Ks/Kq; K= C, B)$ is investigated by treating both heavy-light flavor mesons non-relativistic with an effective quark-antiquark interaction potential for different quantum states. Along with that, an elucidated graphical representation is scrutinized with the calculated mass spectra obtained from the energy eigenvalue against the corresponding variables for all the combination sets of heavy-light flavors mesons. Therefore, the current framework potential provides excellent reconciliation with the experimental data of states known to date and minuscule \% difference in lower quantum states, which increases with higher quantum states that can be correlated with the higher screening factor coming into the account.