Properties of $J/\psi$ in light quark matter

TL;DR

This paper investigates the properties of the $J/a$ meson in light quark matter at finite temperatures using a chiral unitary approach, emphasizing the importance of dressed charmed mesons for understanding in-medium modifications.

Contribution

It introduces a method to analyze the in-medium behavior of the $J/a$ meson considering coupled channels and dressed charmed mesons, providing a framework for future detailed predictions.

Findings

Preliminary results highlight the significance of dressed charmed mesons.

The approach accounts for changes in the $J/a$ self-energy due to interactions with light quark matter.

Spectral functions of the $J/a$ are computed using Lippmann-Schwinger equations.

Abstract

With various experiments studying heavy-ion collisions a demand exists in the hadron physics community for theoretical predictions of hadronic properties at temperatures and densities far from equilibrium. In this work we will study the $J/\psi$ vector meson at finite temperatures surrounded by light quark matter. We will apply a chiral unitary approach to account for coupled channels, most importantly channels with open charm. The in-medium solution accounts for the change in self-energy that the $J/\psi$ acquires from interacting with the surrounding light quark matter, most notably pions and rho mesons. The results are preliminary and clearly show the importance of using dressed charmed mesons. Ultimately, the solutions to the corresponding Lippmann-Schwinger Equations are used to calculate observables such as the spectral function of the $J/\psi$.