How do chiral condensates affect color superconducting quark matter under charge neutrality constraints?

Abstract

We investigate the effects of the dynamical formation of the chiral condensates on color superconducting phases under the electric and color neutrality constraints at vanishing temperature. We shall show that the phase appearing next to the color-flavor-locked (CFL) phase down in density depends on the strength of the diquark coupling. In particular, the gapless CFL (gCFL) phase is realized only in a weak coupling regime. We give a qualitative argument on why the gCFL phase in the weak coupling region is replaced by some other phases in the strong coupling, once the competition between dynamical chiral symmetry breaking and the Cooper pair formation is taken into account.

7 pages, 5 figures, Fig.3 is added for a discussion on the disappearance of the gapless CFL

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• Stable gapless superconductivity at strong coupling
• Quark matter in neutron stars
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• Paramagnetic Meissner Effect and Finite Spin Susceptibility in an Asymmetric Superconductor
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• Fate of chiral critical point under the strong isospin asymmetry
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• On the ground state of gapless two flavor color superconductors
• NJL model of homogeneous neutral quark matter: Pseudoscalar diquark condensates revisited
• A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics
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• Superfluid and Pseudo-Goldstone Modes in Three Flavor Crystalline Color Superconductivity
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• Gapless color-flavor locked phase in quark and hybrid stars
• Possible crossover from BCS superconductivity to Bose-Einstein condensate in quark matter