Energy loss of heavy quarks in the isotropic collisional hot QCD medium at a finite chemical potential

Abstract

The present article is the followup of Eur. Phys. J. C 79, 761 (2019), where we studied the energy loss of the heavy quarks traversing through the isotropic collisional hot QCD medium. As the QCD phase diagram at finite baryon density and the moderate temperature is expected to be traced by the upcoming experimental facilities such as Anti-proton and Ion Research (FAIR) and Nuclotron-based Ion Collider fAcility (NICA), the theoretical research needs the inclusion of finite chemical potential to study the hot QCD medium. Therefore, the aim here is to develop a formalism that investigates the collisional energy loss of heavy quarks moving in the hot QCD medium having small but a finite quark chemical potential. The calculation uses the extended effective fugacity quasi-particle model [1–3] and the effective kinetic theory with Bhatnagar-Gross-Krook (BGK) collisional kernel. The change in the energy of charm and bottom quarks with respect to their corresponding momenta has been investigated at different values of collisions frequency and chemical potential. We find that the bottom quark loses less energy than the charm quark for a fixed momentum, collisional frequency and chemical potential. The energy loss values are found to decrease with increasing chemical potential.