English

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

High Energy Physics - Phenomenology 2017-03-13 v2 Nuclear Theory

Abstract

The self energy of Δ\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 Δ\Delta. The πN\pi N scattering cross section obtained using explicit Δ\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.

Keywords

Cite

@article{arxiv.1603.06699,
  title  = {$\Delta$ self-energy at finite temperature and density and the $\pi N$ cross-section},
  author = {Snigdha Ghosh and Sourav Sarkar and Sukanya Mitra},
  journal= {arXiv preprint arXiv:1603.06699},
  year   = {2017}
}