Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu–Jona Lasinio model

The properties of the neutral pion in quark matter under influence an external magnetic field are studied. effects anomalous moments (AMM) quarks at finite density is considered. inclusion AMM into NJL model gives rise to additional effects. In particular Dirac sea produce new divergences vacuum contributions, which depend explicitly on field. An improper treatment these contributions source unphysical results, as emphasized recent investigations. polarization function evaluated random phase approximation using analytic regularization and a subtraction scheme deal with such divergencies. This procedure combined standard three momentum cutoff, reduces it for vanishing intensity. mass coupling constant wide range intensity baryonic density.