A study of medium effects in elastic and scatterings
The elastic scattering is investigated for the channel dominated by the resonance at finite baryon density, employing the effective Lagrangian approach at the tree-level Born approximation. The quark-meson coupling (QMC) model is employed to describe the in-medium baryon properties that are constructed at the quark level, such as the nucleon and masses, and full decay width. I reproduce the experimental data of the cross-section in a vacuum as a justification of our approach and then analyze the in-medium total and differential cross-sections as well as proton-spin asymmetry. Following the results of the in-medium elastic scattering calculation, the elastic scattering is investigated at finite baryon density in the framework of the Eikonal Glauber model for the light nuclei, and . For the description of the finite nuclei, the Wood-Saxon density profile, and an expansion of the charge distribution as a sum of Gaussians are employed in this study. The nuclear density distribution , effective baryon mass , in-medium decay width , and in-medium coupling constants and are analyzed as well as the total cross-section. The results show that the effective baryon mass and cross-sections in the medium decrease as density increases except for the decay width, which increases as the density increases. The elastic scattering at the tree-level Born approximation reproduces well the experimental data for but overestimates for . Results for the in-medium resonance and other findings in this work will be relevant for the relativistic heavy-ion collision experiments.