${Q} \bar{Q}$ $({Q}\in{\{b,c}\})$ spectroscopy using the modified Rovibrational model

TL;DR

This paper models heavy quarkonium resonance states as rovibrational states using a modified Morse potential approach, incorporating hyperfine and spin-orbit corrections, and compares the calculated spectra with experimental data.

Contribution

It introduces a parameterized rovibrational model based on the Morse potential to describe heavy quarkonium spectra, including correction terms for hyperfine and spin-orbit interactions.

Findings

High excited state mass spectra of charmonium and bottomonium are in reasonable agreement with experimental data.

The model effectively captures the resonance states of heavy quarkonium systems.

Inclusion of hyperfine and spin-orbit corrections improves spectral predictions.

Abstract

Mass spectra of quarkonium systems can be described by different phenomenological potentials. In the present work, the {\color{black}resonance} states of heavy quarkonium like ($c\bar{c}$ and $b\bar{b}$) are considered as the rovibrational states. We study a parameterized rovibrational model derived from the empirical solution of the nonrelativistic Schr\"{o}dinger equation with Morse potential, the corrections are composed of colour hyperfine interaction and spin-orbit interaction of mesons. We {\color{black}obtain} the high excited state mass spectra of charmonium and bottomonium comparing the results in reasonable agreement with the present experimental data.