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A Coupled Channel Unitary Chiral Approach to the Meson-Meson Interation and Pi Pi scattering in a Nuclear Medium


A new tool which combines chiral perturbation theory and unitarity in coupled channels is applied with success to the study of the meson-meson interaction, extending the theoretical predictions up to $\sqrt{s} = 1.2$ GeV, hence improving considerably the convergence radius of conventional chiral perturbation theory, $\chi PT$. The method is applied to obtain the meson-meson phase shifts and inelasticities as well as the isoscalar $\pi \pi$ scattering amplitude inside a nuclear medium.

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