Configuration entropy description of charmonium dissociation under the influence of magnetic fields

TL;DR

This paper investigates how magnetic fields influence the dissociation of charmonium in quark-gluon plasma by analyzing the configuration entropy, revealing a link between instability and entropy variations in the presence of magnetic fields.

Contribution

It introduces a novel application of configuration entropy to study charmonium dissociation under magnetic fields in quark-gluon plasma.

Findings

Configuration entropy increases with magnetic field strength.

Higher entropy correlates with greater charmonium instability.

Magnetic fields significantly affect charmonium stability in plasma.

Abstract

Heavy ion collisions, produced in particle accelerators, lead to the formation of a new state of matter, known as the quark gluon plasma. It is not possible to observe directly the plasma, where quarks and gluons are not confined into hadrons. All the available information comes from the particles that reach the detectors after the strongly interacting matter hadronizes. Among those particles, one that plays an important role is the charmonium J/$\psi$ heavy meson, made of a $ c \bar c$ quark anti-quark pair. The fraction of such particles produced in a heavy ion collision is related to the dissociation level caused by the plasma. On the other hand, the dissociation of $J/\Psi $ in the plasma is influenced by the temperature and the density of the medium and also by the presence of magnetic fields, that are produced in non central collisions. A very interesting tool to study stability of physical systems is the configuration entropy (CE). In recent years many examples in various kinds of physical systems appeared in the literature, where an increase in the CE is associated with an increase in the instability of the system. In this article we calculate the CE for charmonium quasistates inside a plasma with a magnetic field background, in order to investigate how the instability, corresponding in this case to the dissociation in the thermal medium, is translated into the dependence of the CE on the field.