Pion Properties in a Hot $ΠN Δ$ Gas

Details Pion Properties in a Hot $ΠN Δ$ Gas Pion Properties in a Hot $ΠN Δ$ Gas

1993-11-20

arxiv.org/abs/nucl-th/9311018v1

Nucl.Phys.A573:626-640,1994

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1016/0375-9474(94)90233-X

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.

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