Average hydrodynamic behaviour of a non-linear pion-pion chiral Lagrangian

Abstract

In the study of the behaviour of matter at superhigh densities (10¹⁶ g/cm³), the properties of e ⁺e^- and p-p collisions are known to provide conditions which determine the equation of state. In this paper, assuming that a system of pions is a good representation of p-p collisions, we study the hydrodynamic behaviour of an SU(2)×SU(2) chiral Lagrangian in theGasiorowicz-Geffen coordinates with symmetry-breaking terms included. This model possesses simple classical solutions. By the application of the averaging method ofMilekhin, we obtain the equation of state and discuss its implications.