Relativistic correction to the dissociation temperature of B_c mesons in the hot medium

TL;DR

This paper calculates the dissociation temperature of B_c mesons in quark-gluon plasma using relativistic two-body Dirac equations, revealing higher T_d values than non-relativistic approaches and analyzing potential contributions.

Contribution

It introduces a relativistic correction to the dissociation temperature calculation of B_c mesons in hot medium using Dirac equations, improving upon previous non-relativistic models.

Findings

Relativistic correction increases the dissociation temperature T_d.

Short-range interaction and constant potential terms significantly affect T_d.

Spin interaction has negligible impact on T_d.

Abstract

By solving two body Dirac equations with potentials at finite temperature, we calculated the dissociation temperature T_d of B_c mesons in the quark-gluon plasma. It is found that the T_d becomes higher with the relativistic correction than the T_d from the Schroedinger equation. Both the short range interaction and the constant term of the potential at the long-range scale have a contribution to the shift of T_d, while the spin interaction is negligible.