# Heavy flavor dissociation in the framework of multi-body Dirac equations

## TL;DR

This paper investigates heavy flavor particles at finite temperature using a relativistic potential model and an improved three-body Dirac equation solution, revealing sequential dissociation patterns in quark-gluon plasma.

## Contribution

It introduces an improved method for solving the three-body Dirac equation and applies lattice QCD-based potentials to study heavy flavor dissociation at finite temperature.

## Key findings

- Mesons survive at higher temperatures than baryons.
- Heavy flavor binding energies decrease with increasing temperature.
- Sequential dissociation of mesons and baryons in quark-gluon plasma.

## Abstract

We study heavy flavor properties at finite temperature in the framework of a relativistic potential model. With an improved method to solve the three-body Dirac equation, we determine a universal set of model parameters for both mesons and baryons by fitting heavy flavor masses in vacuum. Taking heavy quark potential from lattice QCD simulations in hot medium, we systematically calculate heavy flavor binding energies and averaged sizes as functions of temperature. The meson and baryons are separately sequentially dissociated in the quark-gluon plasma, and the mesons can survive at higher temperature due to the stronger potential between quark-antiquark pairs than that between quark-quark pairs.