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Title: Stress-free BCS pairing in color superconductors is impossible

Abstract

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.

Authors:
 [1];  [2]
  1. Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139 (United States)
  2. Department of Physics, Washington University St Louis, MO 63130 (United States)
Publication Date:
OSTI Identifier:
21056893
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 892; Journal Issue: 1; Conference: QCHS7: 7. conference on quark confinement and the hadron spectrum, Ponta Delgada, Acores (Portugal), 2-7 Sep 2006; Other Information: DOI: 10.1063/1.2714453; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BCS THEORY; COLOR MODEL; FLAVOR MODEL; PAIRING INTERACTIONS; QUANTUM CHROMODYNAMICS; QUARK MATTER; REST MASS; S QUARKS; STRESSES; SUPERCONDUCTIVITY; SUPERCONDUCTORS

Citation Formats

Rajagopal, Krishna, and Schmitt, Andreas. Stress-free BCS pairing in color superconductors is impossible. United States: N. p., 2007. Web. doi:10.1063/1.2714453.
Rajagopal, Krishna, & Schmitt, Andreas. Stress-free BCS pairing in color superconductors is impossible. United States. doi:10.1063/1.2714453.
Rajagopal, Krishna, and Schmitt, Andreas. Tue . "Stress-free BCS pairing in color superconductors is impossible". United States. doi:10.1063/1.2714453.
@article{osti_21056893,
title = {Stress-free BCS pairing in color superconductors is impossible},
author = {Rajagopal, Krishna and Schmitt, Andreas},
abstractNote = {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.},
doi = {10.1063/1.2714453},
journal = {AIP Conference Proceedings},
number = 1,
volume = 892,
place = {United States},
year = {Tue Feb 27 00:00:00 EST 2007},
month = {Tue Feb 27 00:00:00 EST 2007}
}