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 nonrelativistic quantum chromodynamics approach. To reach this end, quasiparticle (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 ( $\theta$ = $90^o$ ) 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 $\theta ={90}^o$ .