Quark droplets stability induced by external magnetic field

preprint2003arXivOpen access

Abstract

The influence of a constant homogeneous external magnetic field HH 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>GbagG>G_{bag}, where GG is the quark coupling constant, Gbag=1.37GcritG_{bag}=1.37G_{crit}, and GcritG_{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<GbagG<G_{bag}. In this case, depending on the value of HH, quark droplets are composed either of massive or massless quarks.

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