$\Delta$ self-energy at finite temperature and density and the $\pi N$ cross-section

Abstract

The self energy of $\Delta$-baryon is evaluated at finite temperature and density using the real time formalism of thermal field theory. The Dyson-Schwinger equation is used to get the exact thermal propagator followed by the spectral function of $\Delta$. The $\pi N$ scattering cross section obtained using explicit $\Delta$ exchange is normalized to the experimental data in vacuum and its medium modification is implemented by means of the exact thermal propagator. A significant suppression of the peak of the cross-section is observed at higher temperature and baryon density. Effects on the mean relaxation time of nucleons and the temperature dependence of the shear viscosity of a pion nucleon gas are demonstrated.

References in corpus (10)

• NA60 results on thermal dimuons
• Shear viscosity of a hadronic gas mixture
• QCD Viscosity to Entropy Density Ratio in the Hadronic Phase
• The Bulk Viscosity of a Pion Gas
• An explanation of the ${\Delta }_{5/2^{-}}(1930)$ as a $\rho \Delta$ bound state
• Low-energy pions in nuclear matter and 2pi photoproduction within a BUU transport model
• Effect of spectral modification of $\rho$ on shear viscosity of a pion gas
• Medium effects on the thermal conductivity of a hot pion gas
• Delta(1232) and Nucleon Spectral Functions in Hot Hadronic Matter
• Relativistic spectral function of nucleon in hot nuclear matter

Cited by in corpus (7)

• Electron- versus neutrino-nucleus scattering
• Decuplet baryons in a hot medium
• Medium effects on the electrical conductivity of a hot pion gas
• Heating triangle singularities in heavy ion collisions
• Viscous coefficients and thermal conductivity of a $\pi KN$ gas mixture in the medium
• A study of the elastic $\pi N$ scattering at finite baryon density
• In-medium thermal conductivity and diffusion coefficients of a hot hadronic gas mixture