Medium Modification of The Pion-Pion Interaction at Finite Density

Abstract

We discuss medium modifications of the unitarized pion-pion interaction in the nuclear medium. We incorporate both the effects of chiral symmetry restoration and the influence of collective nuclear pionic modes originating from the p-wave coupling of the pion to delta-hole configurations. We show in particular that the dropping of the sigma meson mass significantly enhances the low energy structure created by the in-medium collective pionic modes.

arXiv comment26 pages, 7 figures included, Latex file

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• Pi-Pi scattering lengths at finite temperature
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Cited by in corpus (14)

• The $\sigma$ meson in a nuclear medium through two pion photoproduction
• In-medium pi-pi Correlation Induced by Partial Restoration of Chiral Symmetry
• Pion scattering poles and chiral symmetry restoration
• $\Lambda (1520)$ and $\Sigma (1385)$ in the nuclear medium
• Simultaneous Softening of sigma and rho Mesons associated with Chiral Restoration
• The pi -> pi pi process in nuclei and the restoration of chiral symmetry
• General properties of the pion production reaction in nuclear matter
• Spectral functions in the sigma-channel near the critical end point
• Evaluation of the $\pi \pi$ scattering amplitude in the $\sigma$-channel at finite density
• Chiral Symmetry and light resonances in hot and dense matter
• Formation of sigma Mesic Nuclei in (d,t) and (d,^3He) Reactions
• $\pi \to \pi \pi$ results in nuclei
• Sigma meson mass and width at finite density
• Final State Interactions in Pion Production from Nuclei