Single-flavour and two-flavour pairing in three-flavour quark matter

Abstract

We study single-flavour quark pairing ("self-pairing") in colour-superconducting phases of quark matter, paying particular attention to the difference between scenarios where all three flavours undergo single-flavour pairing, and scenarios where two flavours pair with each other ("2SC" pairing) and the remaining flavour self-pairs. We perform our calculations in the mean field approximation using a pointlike four-fermion interaction based on single gluon exchange. We confirm the result from previous weakly-coupled-QCD calculations, that when all three flavours self-pair the favored channel for each is colour-spin-locked (CSL) pseudoisotropic pairing. However, we find that when the up and down quarks undergo 2SC pairing, they induce a colour chemical potential that disfavors the CSL phase. The strange quarks then self-pair in a "polar" channel that breaks rotational invariance, although the CSL phase may survive in a narrow range of densities.

12 pages, RevTeX

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Cited by in corpus (13)

• Color superconductivity in dense quark matter
• The Crystallography of Three-Flavor Quark Matter
• The rigidity of crystalline color superconducting quark matter
• Co-existence and shell structures of several superfluids in trapped three-component Fermi mixtures
• The Single Flavor Color Superconductivity in a Magnetic Field
• Phase space and quark mass effects in neutrino emissions in a color superconductor
• Helical ordering in the ground state of spin-one color superconductors as a consequence of parity violation
• What do exotic equations of state have to offer?
• Spin-one color superconductivity in compact stars?- an analysis within NJL-type models
• Spin-one color superconductors: collective modes and effective Lagrangian
• Symmetry breaking patterns and collective modes of spin-one color superconductors
• The Latent Heat of Single Flavor Color Superconductivity in a Magnetic Field
• Berry Curvature and Spin-One Color Superconductivity