Evaluation of the $ππ$ scattering amplitude in the $σ$-channel at finite density

Details Evaluation of the $ππ$ scattering amplitude in the $σ$-channel at finite density Evaluation of the $ππ$ scattering amplitude in the $σ$-channel at finite density

2005-03-04

arxiv.org/abs/nucl-th/0503014v1

Phys.Rev.C72:025207,2005

Physics

Nuclear Physics

Nuclear Theory

26 pages, 17 figures

Scientific paper

10.1103/PhysRevC.72.025207

The $\pi\pi$ scattering amplitude in the $\sigma$-channel is studied at finite baryonic density in the framework of a chiral unitary approach which successfully reproduces the meson meson phase shifts and generates the $f_0$ and $\sigma$ resonances in vacuum. We address here a new variety of mechanisms recently suggested to modify the $\pi\pi$ interaction in the medium, as well as the role of the $s-$wave selfenergy, in addition to the $p-$wave, in the dressing of the pion propagators.

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