Sigma-meson in hot and dense matter

Abstract

An important role of the scalar isoscalar sigma-meson in the low-energy physics is discussed. The behavior of the sigma-meson in the hot and dense medium is studied. It is shown that in the vicinity of critical values of temperature(T) and chemical potential(m) the sigma-meson can become a sharp resonance. This effect can lead to a strong enhancement of the processes pi pi -> gamma gamma and pi pi-> pi pi near the two-pion threshold. Experimental observation of this phenomenon can be interpreted as a signal of approaching the domain where the chiral symmetry restoration and phase transition of the hadron matter into quark-gluon plasma take place.

16 pages, 8 figures; figures 6,7 replaced

References in corpus (5)

• Optimized Perturbation Theory at Finite Temperature
• Pion-nucleon scattering inside the Mandelstam triangle
• The $\pi \pi$ interaction in nuclear matter from a study of the ${\pi }^{+}A\to {\pi }^{+}{\pi }^{\pm }{A}^{\prime }$ reactions
• Scalar mesons in the Nambu--Jona-Lasinio model with 't Hooft interaction
• Excess low energy photon pairs from pion annihilation at the chiral phase transition

Cited by in corpus (4)

• ABC effect as a signal of chiral symmetry restoration in hadronic collisions
• Two-photon decays of vector mesons and dilepton decays of scalar mesons in dense matter
• Hamiltonian formalism for Bose excitations in a plasma with a non-Abelian interaction I: plasmon -- hard particle scattering
• A Calculation of the Physical Mass of Sigma Meson