Formation of gapless phases of K0 condensed color-flavor locked superconducting quark matter

Xiao-Bing Zhang; J. I. Kapusta

doi:10.1103/PhysRevD.75.054028

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Formation of gapless phases of K0 condensed color-flavor locked superconducting quark matter

Xiao-Bing Zhang, J. I. Kapusta

DOI 10.1103/PhysRevD.75.054028 · Physical Review D

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Abstract

Electric and color neutral solutions, and the critical conditions for the formation of gapless color superconductors, are investigated in K0 condensed color-flavor locked quark matter for nonzero strange quark mass. We show that as the strange quark mass increases, gapless modes for up-strange quark pairing occur first, followed by down-strange quark pairing. The behavior of the gaps, the dispersion relations, and the thermodynamic potential are all found as functions of the strange quark mass on the basis of a Nambu–Jona-Lasinio type model. To a high degree of accuracy, they are presented as relatively simple elementary functions. This allows for easy computation for any reasonable range of baryon chemical potential and strange quark mass.