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arXiv · 1603.06699

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

Snigdha Ghosh·Sourav Sarkar·Sukanya Mitra
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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.

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Snigdha Ghosh, Sourav Sarkar, Sukanya Mitra. 2016-03-22. $\Delta$ self-energy at finite temperature and density and the $\pi N$ cross-section. https://doi.org/10.1103/physrevd.95.056010

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