Temperature dependence of masses of various meson states in framework of eLSM

Abstract:

In the extended Linear-Sigma Model (eLSM), the structure of meson states, including pseudoscalars (J^pc = 0⁻⁺), scalars (J^pc = 0⁺⁺), vectors (J^pc = 1⁻⁻), and axial-vectors (J^pc = 1⁺⁺) is investigated. For the nite-temperature case we used the meaneld approximation with Polyakov loop. We investigated the effect of the model parameter set to the meson properties and compared SU(3) and SU(4) configurations. The temperature dependence of meson masses shows that although various meson states exhibit unique patterns in their mass changes with temperature, they all seem to share a similar range of dissolution temperatures. This means that the critical temperature that marks the phase transition from hadrons to quarks appears to vary slightly depending on the meson states. In this regard, we find that the quarkonium states, formed by a quark and its antiquark, are largely unaffected by variations in the temperature.