Abstract
For recently developed realistic equations of state (Wiringa, Fiks, & Fabrocini 1988), we establish conditions which the quark matter equation of state should satisfy in order to produce as big a quark core as possible inside neutron stars. We impose constraints that (1) the phase transition to quark matter occurs above nuclear saturation density and (2) the maximum neutron star mass exceeds 1.55 M ○. . The quark phase is described phenomenologically by a two-parameter bag model equation of state. The maximum quark core is found for such values of the parameters which admit a continuous phase transition to quark matter. Its size is determined by the transition density which is as yet unknown
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