The Elastic $q\bar{q}$ Cross Section in the Nambu–Jona-Lasinio Model

Rafael Chapelle (1) , Joerg Aichelin (1) , Juan M. Torres-Rincon

1 SUBATECH - Laboratoire de physique subatomique et des technologies associées

We discuss the quark masses and the elastic $q\bar q$ cross sections at finite chemical potential in the Nambu--Jona-Lasinio model. We comment the generic features of the cross sections as functions of the chemical potential, temperature and collision energy. Finally, we discuss their relevance in the construction of a relativistic transport model for heavy-ion collisions based on this effective Lagrangian.

Mots clés: Jona-Lasinio-Nambu model; quantum chromodynamics: matter; quantum chromodynamics: finite temperature; heavy ion: scattering; quark antiquark: elastic scattering; cross section: elastic scattering; cross section: energy dependence; cross section: temperature dependence; quark: mass; quark: potential; potential: chemical; effective Lagrangian; transport theory: relativistic

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

Rafael Chapelle, Joerg Aichelin, Juan M. Torres-Rincon. The Elastic $q\bar{q}$ Cross Section in the Nambu–Jona-Lasinio Model. Workshop on Discovery Physics at the LHC, Dec 2016, Kruger National Park, South Africa. pp.012017, ⟨10.1088/1742-6596/878/1/012017⟩. ⟨hal-01645534⟩