Pion Properties in a Hot $\Pi N\Delta$ Gas

Abstract

Based on a recent meson-exchange model for the vacuum $\pi \pi$ interaction we compute selfconsistently the in-medium $\pi \pi$ scattering amplitude and pion selfenergy in a hot $\pi N\Delta$ gas. The contributions to the pion selfenergy are calculated from the $\pi \pi$ T-matrix as well as from p-wave interaction with nucleons and thermally abundant $\Delta$'s. Results are presented for two scenarios believed to be realized in the relativistic heavy ion collisions performed at the GSI-SIS and the CERN-SpS. Possible implications for the observed soft pion enhancement at both SIS and SpS are indicated.

20 pages in Latex, 5 figures available on request from the authors, UIUC preprint P-93-11-096

References in corpus (2)

• Effects of Collective Potentials on Pion Spectra in Relativistic Heavy Ion Collisions
• Selfconsistent Description of a Thermal Piongas

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