Elastic Scattering and Transport Coefficients for a Quark Plasma in $S{U}_f(3)$ at Finite Temperatures

Abstract

The temperature dependence of the elastic scattering processes $q{q}^{\prime }\to q{q}^{\prime }$ and $q{\bar{q}}^{\prime }\to q{\bar{q}}^{\prime }$, with $q,q^{\prime }=u,d,s$ is studied as a function of the scattering angle and the center of mass energy of the collision within the framework of the $S{U}_f(3)$ Nambu--Jona--Lasinio model. Critical scattering at threshold is observed in the $q{\bar{q}}^{\prime }\to q{\bar{q}}^{\prime }$ process, leading to an enhancement of the cross section as occurs in the phenomenon of critical opalescence. Transport properties such as viscosity, mean free paths and thermal relaxation times are calculated. Strangeness enhancement is investigated via the chemical relaxation times, which are found to be considerably higher than those calculated via perturbative QCD. A comparison with the experimental values for the strangeness enhancement in $S+S$ collisions leads to an upper limit of 4~fm/$c$ for the lifetime of the plasma.

35 pages ReVTeX, 18 PostScript figures, uufiles format, to appear in Nucl. Phys. A

References in corpus (5)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Pi-Pi scattering lengths at finite temperature
• CHIRALLY INVARIANT TRANSPORT EQUATIONS FOR QUARK MATTER
• Soft Photons from Off-shell Particles in a Hot Plasma

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