Quark droplets stability induced by external magnetic field

Abstract The influence of a constant homogeneous external magnetic field H on the formation and stability of quark droplets is investigated within a simple Nambu–Jona-Lasinio model by using a thermodynamic approach. For a vanishing magnetic field stable quark droplets, which are schematically the bags of massless quarks, are allowed to exist only at G > G bag , where G is the quark coupling constant, G bag =1.37 G crit , and G crit is the value of the coupling constant above which chiral symmetry is spontaneously broken down. On the other hand, a nonvanishing external magnetic field can induce the stability of quark droplets so that they may exist even at G G bag . In this case, depending on the value of H , quark droplets are composed either of massive or massless quarks.