Structure of Compact Stars in Pion Superfluid Phase

Abstract

The gross structure of compact stars composed of pion superfluid quark matter is investigated in the frame of Nambu-Jona-Lasinio model. Under the Pauli-Villars regularization scheme, the uncertainty of the thermodynamic functions for inhomogeneous states is cured, and the LOFF state appeared in the hard cutoff scheme is removed from the phase diagram of pion superfluid. Different from the unpaired quark matter and color superconductor, the strongly coupled pion superfluid in the state close to the BCS limit is a possible candidate of compact stars with mass $M\simeq 3M_{\odot }$ and radius $R\simeq 14$ km.

5 pages, 5 figures

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• Cold quark matter in a quasiparticle model: thermodynamic consistency and stellar properties
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Magnetic field effect on pion superfluid
• Pion superfluid phase transition at finite isospin chemical potential
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space