Open charm meson in nuclear matter at finite temperature beyond the zero range approximation

TL;DR

This paper investigates how open charm mesons like D, D_s, and their antiparticles behave in hot nuclear matter using a self-consistent coupled-channel approach that accounts for finite temperature effects.

Contribution

It introduces a comprehensive finite-temperature model for open charm mesons in nuclear matter, including mutual self-energy influences and beyond zero-range approximations.

Findings

D meson properties are influenced by D_s meson self-energy.

Antiparticle mesons' properties are affected by their respective loop interactions.

Finite temperature effects modify in-medium scattering amplitudes significantly.

Abstract

The properties of open charm mesons, $D$, $\bar D$, $D_s$ and $\bar D_s$ in nuclear matter at finite temperature are studied within a self-consistent coupled-channel approach. The interaction of the low lying pseudoscalar mesons with the ground state baryons in the charm sector is derived from a $t$-channel vector-exchange model. The in-medium scattering amplitudes are obtained by solving the Lippmann-Schwinger equation at finite temperature including Pauli blocking effects, as well as $D$, $\bar D$, $D_s$ and $\bar D_s$ self-energies taking their mutual influence into account. We find that the in-medium properties of the $D$ meson are affected by the $D_s$-meson self-energy through the intermediate $D_s Y$ loops coupled to $DN$ states. Similarly, dressing the $\bar{D}$ meson in the $\bar{D}Y$ loops has an influence over the properties of the $\bar{D}_s$ meson.