Study of Differential Scattering Cross-section using Yukawa term of medium-modified Cornell potential

TL;DR

This study investigates how medium modifications of the quark-antiquark potential affect the differential scattering cross-section of charmonium and bottomonium states, considering temperature, chemical potential, impact parameter, and transverse momentum effects.

Contribution

It introduces a medium-modified Cornell potential with Debye mass dependence on baryonic chemical potential and temperature, applying it to compute differential scattering cross-sections in a non-relativistic QCD framework.

Findings

Differential cross-section varies with temperature and chemical potential.

Scattering angle influences the differential cross-section significantly.

Impact parameter and transverse momentum affect scattering outcomes.

Abstract

In the present work we have studied the Differential Scattering Cross-section for ground states of charmonium and bottomonium in the frame work of the medium modified form of quark-antiquark potential and Born-approximation using the non-relativistic quantum chromo-dynamics approach. To reach this end, quasi-particle (QP) Debye mass depending upon baryonic chemical potential ($\mu$b) and temperature has been employed and hence the variation of Differential Scattering Cross-section with baryonic chemical potential and temperature at fixed value of the scattering angle ($\theta=90^\circ$) has been studied. The variation of Differential Scattering Cross-section with scattering angle $\theta$ (in degree) at fixed temperature and baryonic chemical potential has also been studied. We have also studied the effect of impact parameter and transverse momentum on differential scattering cross-section at $\theta=90^\circ$.