Flavor dependence of meson melting temperature in relativistic potential model

Abstract

We study the melting temperature of heavy mesons in the hot medium of light quarks. By solving the covariant Schr\"odinger equations at finite temperature for mesons $D$, $\ensuremath{\phi}$, and $J/\ensuremath{\psi}$, we obtained the temperature dependence of their masses, binding energies, and averaged sizes and found the flavor dependence of the melting temperature: ${T}_{D}\ensuremath{\simeq}{T}_{\ensuremath{\phi}}<{T}_{J/\ensuremath{\psi}}$. The sequential melting temperature can explain the difference in meson elliptic flow observed in heavy ion collisions.