Enhancement of $πA \to ππA$ Threshold Cross Sections by In-Medium $ππ$ Final State Interactions

Details Enhancement of $πA \to ππA$ Threshold Cross Sections by In-Medium $ππ$ Final State Interactions Enhancement of $πA \to ππA$ Threshold Cross Sections by In-Medium $ππ$ Final State Interactions

1998-10-02

arxiv.org/abs/nucl-th/9810007v1

Phys.Rev. C59 (1999) 1237-1241

Physics

Nuclear Physics

Nuclear Theory

5 pages RevTeX, 3-eps figures

Scientific paper

10.1103/PhysRevC.59.R1237

We address the problem of pion production in low energy $\pi$-nucleus collisions. For the production mechanism we assume a simple model consisting of a coherent sum of single pion exchange and the excitation---followed by the decay into two pions and a nucleon---of the $N^*(1440)$ resonance. The production amplitude is modified by the final state interaction between the pions calculated using the chirally improved J\"ulich meson exchange model including the polarization of the nuclear medium by the pions. The model reproduces well the experimentally observed $\pi A \to \pi\pi A$ cross sections, especially the enhancement with increasing $A$ of the $\pi^+\pi^-$ mass distribution in the threshold region.

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