Stress-free BCS pairing in color superconductors is impossible

Details Stress-free BCS pairing in color superconductors is impossible Stress-free BCS pairing in color superconductors is impossible

2006-10-26

arxiv.org/abs/nucl-th/0610107v1

AIPConf.Proc.892:499-501,2007

Physics

Nuclear Physics

Nuclear Theory

3 pages, to appear in the proceedings of "Quark Confinement and the Hadron Spectrum VII", Ponta Delgada, Azores (Portugal), Se

Scientific paper

10.1063/1.2714453

Cold, asymptotically dense three-flavor quark matter is in the color-flavor locked (CFL) phase, in which all quarks pair in a particularly symmetric fashion. At smaller densities, taking into account a nonzero strange quark mass and electric and color neutrality, the CFL phase requires pairing of quarks with mismatched Fermi momenta. We present a classification of all other possible, less symmetric, pairing patterns and prove that none of them can avoid this mismatch. This result suggests unconventional, e.g., spatially inhomogeneous, superconducting phases for moderate densities.

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