Temperature dependence on Spectrum of Heavy Hybrid Mesons

TL;DR

This study investigates how temperature affects the masses of conventional and hybrid heavy quarkonium mesons using a thermally modified potential, providing insights relevant for experimental observations.

Contribution

It introduces a power series expansion method to compute heavy quarkonium masses at finite temperature incorporating Debye screening effects.

Findings

Strong agreement with lattice-QCD-inspired potentials

Validation of power-series technique for mass calculations

Results aid in understanding experimentally observed states

Abstract

In this work, temperature dependence on the masses of conventional and hybrid heavy quarkonium systems is investigated. For this, a thermally screened interaction is incorporated through Debye mass $(m_{D}(T))$ into the potential models of conventional and hybrid charmonium ($c\overline{c}$) and bottomonium ($b\overline{b}$) mesons (conventional and hybrid). Mass eigenvalues for S, P, D states of these mesons are computed by power series expansion method at different values of debye mass. Comparison with available lattice-QCD-inspired potentials and previous numerical studies show strong agreement and validate the efficiency of power-series technique for calculations of mass of heavy quarkonium at finite-temperature. Our results can be helpful to explore the recent experimentally determined states of charmonium and bottomonium.