Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model

Abstract

Abstract The masses of pion and sigma meson modes, along with their dissociation in the quark medium, provide detailed spectral structures of the chiral partners. One has seen collectivity in pA and pp systems both at LHC and RHIC. In this article, we study the restoration of chiral symmetry by investigating the finite size effect on the detailed structure of the chiral partners in the framework of the Nambu-Jona-Lasinio model. Their diffusions and conductions have been studied through this dissociation mechanism. It is found that the masses, widths, diffusion coefficients, conductivities of chiral partners merge at different temperatures in the restoration phase of chiral symmetry. However, merging points are shifted to lower temperatures when one introduces the finite size effect into the picture. The strengths of diffusions and conductions are also reduced once the finite size is introduced in the calculations.