Speaker
Mrs
Sukanya Mitra
(Variable Energy Cyclotron Centre)
Description
The shear and bulk viscosities, as well as the thermal conductivity of a pion gas are obtained by solving the relativistic transport equation in the Chapman-Enskog approximation at finite temperature with a finite chemical potential. Instead of estimating the scattering amplitute from the lowest order Lagrangian of chiral perturbation theory used in most of the literature, we have modelled the pion-pion interaction cross section by introducing rho and sigma meson propagator, which agrees well with the experimental value. The in-medium effects are then introduced in the $\pi\pi$ cross section through one-loop self-energies of the exchanged $\rho$ and $\sigma$ mesons. The effect of early chemical freeze-out in heavy ion collisions is implemented through a temperature-dependent pion chemical potential, which increases with decreasing temperature. These shows a noticeable effect in the temperature dependence of the viscosities and thermal conductivity. Finally the ratios of the viscosities over entropy density also has been depicted where the entropy density is also corrected for an interacting system.
Author
Mrs
Sukanya Mitra
(Variable Energy Cyclotron Centre)
Co-author
Dr
Sourav Sarkar
(Variable Energy Cyclotern Centre)
