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The $σ$ meson in a nuclear medium through two pion photoproduction

arXiv:nucl-th/0201054 · doi:10.1016/S0370-2693(02)02188-3

Abstract

We present theoretical results for $(γ, π^0 π^0)$ production on nucleons and nuclei in the kinematical region where the scalar isoscalar $ππ$ amplitude is influenced by the $σ$ pole. The final state interaction of the pions modified by the nuclear medium produces a spectacular shift of strength of the two pion invariant mass distribution induced by the moving of the $σ$ pole to lower masses and widths as the nuclear density increases.

14 pages, 7 figures