Phase diagram of two-color QCD matter at finite baryon and axial isospin densities *

Abstract

Abstract We study the two-color QCD matter with two fundamental quark flavors using the chiral perturbation theory and the Nambu-Jona-Lasinio (NJL) model. The effective Lagrangian is derived in terms of mesons and baryons, i.e. diquarks. The low lying excitations lie in the extended flavor symmetry space. We compute the leading order terms of the Lagrangian as a function of the baryon and axial isospin densities. After numerically solving the gap equations in the two-color NJL model, the phase diagram is obtained in the plane.