2005/07/31 by Mark Alford, Qinghai Wang, Qing-hai Wang
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Color superconductivity #Condensed matter physics #Gapless playback #Pairing #Particle physics #Physics #Physics of Superconductivity and Magnetism #Pulsars and Gravitational Waves Research #Quark #Strange matter #Superconductivity #hep-ph
paper · pdf · doi:10.1088/0954-3899/32/2/001
published as J.Phys. G32 (2006) 63-72 · 11 pages; clarifications of text
arxiv created 2005/11/22 · openalex publication_date 2005/12/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We calculate secondary pairing in a model of a colour superconductor with a quadratic gapless dispersion relation for the quasiquarks of the primary pairing. Our model mimics the physics of the sector of blue-up and red-strange quarks in gapless colour–flavour-locked quark matter. The secondary pairing opens up a gap Δ s in the quark spectrum, and we confirm Hong's prediction that in typical secondary channels Δ s ∝ G 2 s for coupling strength G s . This shows that the large density of states of the quadratically gapless mode greatly enhances the secondary pairing over the standard BCS result Δ ∝ exp(−const/ G ). In all of the secondary channels that we analysed we find that the secondary gap, even with this enhancement, is from ten to hundreds of times smaller than the primary gap at reasonable values of the secondary coupling, indicating that secondary pairing does not generically resolve the magnetic instability of the gapless phase.