Excess low energy photon pairs from pion annihilation at the chiral phase transition

Details Excess low energy photon pairs from pion annihilation at the chiral phase transition Excess low energy photon pairs from pion annihilation at the chiral phase transition

1997-06-13

arxiv.org/abs/hep-ph/9706350v3

Phys.Lett. B424 (1998) 235-243

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTeX, 6 figures, Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00227-5

The photon pair production by pion annihilation in a hot and dense medium at the chiral phase transition is investigated within a chiral quark model. As a direct consequence of this transition the $\sigma$ meson appears as a bound state in the domain of temperatures and chemical potentials where the condition $M_\sigma(T,\mu) \approx 2 M_\pi(T,\mu)$ is fulfilled. This effect results in a strong enhancement of the cross section for the pion annihilation process $2 \pi \to 2 \gamma$ compared with the vacuum case. The calculation of the photon pair production rate as function of the invariant mass shows a strong enhancement and narrowing of the $\sigma$ meson resonance at threshold due to chiral symmetry restoration.

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