Density effects on the fermion and the scalar and pseudoscalar mesons in the QCD-like gauged NJL model

The QCD-like gauged NJL model with flavors N-f = 2 is developed to derive the gap equation for the fermion in nuclear medium. In the free space, the gluon part in the gauged NJL model may contribute nearly 1/4 to the fermion mass. The chiral order parameter is consistent closely with the prediction of the QCD sum rules. Based on the gap equation, the fermion mass in nuclear medium is obtained and the dynamical properties of the scalar and pseudoscalar mesons are studied. The numerical results in the free space are in fair agreement with the experimental data.