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

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 $\theta=90^\circ$.