Properties of open and hidden charm mesons in light quark matter

TL;DR

This paper investigates how light-quark pionic matter at finite temperatures affects the properties of open and hidden charm mesons, revealing significant in-medium modifications and widths, especially at high temperatures.

Contribution

It introduces a self-consistent approach using in-medium Lippmann-Schwinger equations to study charm mesons in hot pionic matter, accounting for coupled channels and self-energy changes.

Findings

Charmed mesons develop large pion-induced widths at 150 MeV.

The $J/$ meson remains narrow but has an increased width (~0.1 MeV) at high temperature.

In-medium effects significantly modify meson spectral functions in hot pion matter.

Abstract

In this work we study the implications of light-quark pionic matter at finite temperatures on the properties of open and hidden charm mesons. The meson-meson interactions are described by means of a chiral unitary approach accounting for coupled channels effects. The in-medium Lippmann-Schwinger Equations, which consider the change in self-energy that the mesons acquire from interacting with the surrounding pionic matter, are solved self-consistently, and the spectral functions of the mesons in the hot pion bath are obtained. It is observed that the charmed mesons develop a quite substantial pion-induced width, being of several tens at a temperature of 150 MeV. The $J/\Psi$ meson stays narrow, but its pionic width at 150 MeV, found to be around 0.1 MeV, is already larger that its vacuum width.