Chiral symmetry restoration of nuclear matter

Abstract

The phase transition of chiral symmetry restoration of nuclear matter is studied in the chiral SU(3) quark mean field model. For some kinds of confining potentials, there exists a critical density ρc. When the baryon density is larger than ρc, nuclear matter will be in the phase of chiral symmetry restoration. At critical density, the physical quantities change discontinuously. The critical density will become larger when the vector part of the confining potential increases.

Chiral symmetry restoration in strange hadronic matter

“…At some critical baryon density the minimum of ε appears at M * N = 0, a scenario which has been studied in Ref. [32]. For strange hadronic matter ε is a function of the mean field values σ and ζ.…”

“…The confining potential χ c , is chosen as in Refs. [30,32], where it was shown in comparison with two other two types of potentials that it is the best choice to describe finite systems. The model parameters are summarized as follows: We do not mention the parameters which are fixed from experimental data or from the chiral symmetry constraints.…”

“…The model is based on effective quark-meson and meson self-interactions which satisfy the chiral SU(3) symmetry constraint. Chiral symmetry restoration of nonstrange nuclear matter was studied in a previous paper [32]. When a critical baryon density is reached, the effective nucleon mass will drop to zero.…”

“…The confining potential χ c is chosen as a combination of scalar (S) and scalar-vector (SV) potentials as in Ref. [30,32]:…”

“…As an extension we proposed the chiral SU(3) quark mean field model and investigated hadronic and quark matter [29]- [31]. The chiral symmetry restoration of nuclear matter was also studied in this model and a phase transition was found [32]. At some critical baryon density, the effective nucleon mass and the quark condensate decrease discontinuously.…”