Transport coefficients of a two component hadronic gas consisting of pions and nucleons

We derive the transport coefficients of a two component Hadronic gas consisting of Pions and Nucleons. We solve the relativistic Boltzmann equation with binary collision (ππ, πN and NN) employing the relaxation time approximation method. In medium effects are introduced through one loop self-energies in the propagator of the exchange of ρ and σ for the ππ cross-section, and one loop self-energy in the propagator of the exchange of Δ for the πN cross-section. We use phenomenological amplitude for NN collisions. The effect of early freeze-out in heavy collision is implemented through temperature dependent pion chemical potential. The temperature dependence of the transport coefficients are studied. (author)