The $(π^-,γγ)$ reaction in nuclei and the $σ$ meson in the medium

Details The $(π^-,γγ)$ reaction in nuclei and the $σ$ meson in the medium The $(π^-,γγ)$ reaction in nuclei and the $σ$ meson in the medium

2003-01-16

arxiv.org/abs/nucl-th/0301054v1

Nucl.Phys. A723 (2003) 129-144

Physics

Nuclear Physics

Nuclear Theory

16 pages, 11 figures

Scientific paper

A theoretical analysis of the $(\pi^-,\gamma\gamma)$ reaction in nuclei is made in order to find the viability of this reaction to test modifications of the $\sigma$ meson mass in nuclear matter. The $\pi\pi$ correlation in the scalar-isoscalar channel in nuclear matter could, in principle, manifest itself in this reaction since it plays an important role in the $\pi\pi\to\gamma\gamma$ mechanism. But we conclude that this effect is hardly visible in this reaction due to the strong background of the pion-Bremsstrahlung terms. Only with some special cuts and for some polarization states are the effect visible at the cost of a strong reduction in the cross section.

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