Pion scattering poles and chiral symmetry restoration

Details Pion scattering poles and chiral symmetry restoration Pion scattering poles and chiral symmetry restoration

2007-07-10

arxiv.org/abs/0707.1424v2

Phys.Rev.D76:085020,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 9 figures, final version to appear in Phys.Rev.D, added comments and references

Scientific paper

10.1103/PhysRevD.76.085020

Using unitarized Chiral Perturbation Theory methods, we perform a detailed analysis of the $\pi\pi$ scattering poles $f_0(600)$ and $\rho(770)$ behaviour when medium effects such as temperature or density drive the system towards Chiral Symmetry Restoration. In the analysis of real poles below threshold, we show that it is crucial to extend properly the unitarized amplitudes so that they match the perturbative Adler zeros. Our results do not show threshold enhancement effects at finite temperature in the $f_0(600)$ channel, which remains as a pole of broad nature. We also implement T=0 finite density effects related to chiral symmetry restoration, by varying the pole position with the pion decay constant. Although this approach takes into account only a limited class of contributions, we reproduce the expected finite density restoration behaviour, which drives the poles towards the real axis, producing threshold enhancement and $\pi\pi$ bound states. We compare our results with several model approaches and discuss the experimental consequences, both in Relativistic Heavy Ion Collisions and in $\pi\to \pi\pi$ and $\gamma\to \pi\pi$ reactions in nuclei.

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