Some special features in the filling of the Fermi sphere with quark quasiparticles

Studying quark condensates within models of four-quark interaction

“…We need also the energy density of the quark ensemble E = 2N c w, which can be expressed through specific energy attributed to a one quark, see [15], in form…”

“…Then the quark energy in the phase of nonzero chiral quark condensate is degenerate as it follows from equation ( 6), E p = 2G s . Therefore, to deal with the quark ensemble of changing a baryon/quark density we need to introduce the Fermi momentum P F that characterises the process of filling up the Fermi sphere by quark quasiparticles (the details can be found in [15]). Having determined the energy density and baryon charge density of an ensemble we may obtain a inter-relation between the Fermi momentum and the chemical potential.…”

“…The bayon number density in this model is given by (15). An artificial introduction of a small bare mass ∆ o << ∆ allows us easily to solve this equation by iterating.…”