2005
DOI: 10.1088/0954-3899/32/2/001
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Secondary pairing in gapless colour-superconducting quark matter

Abstract: We calculate secondary pairing in a model of a color 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 color-flavorlocked quark matter. The secondary pairing opens up a gap ∆ s in the quark spectrum, and we confirm Hong's prediction that in typical secondary channels ∆ s ∝ G 2 s for coupling strength G s . This shows that the large density of states of the quadratically … Show more

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Cited by 13 publications
(5 citation statements)
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“…Since in real systems it can be controlled by external pressure it is a useful parameter to investigate the effects of Fermi surface mismatch in multi-band superconductors. Our mean-field approach is more appropriate to treat weak coupling systems with g, g b ∼ 1, although even in this case it can miss effects due to fluctuations, as an additional p-wave instability [21]. In the metallic problem, the quasi-particles have spins as extra degrees of freedom and in principle there is the possibility of an additional s-wave pairing between quasi-particles at the gapless Fermi surfaces.…”
Section: Discussionmentioning
confidence: 99%
“…Since in real systems it can be controlled by external pressure it is a useful parameter to investigate the effects of Fermi surface mismatch in multi-band superconductors. Our mean-field approach is more appropriate to treat weak coupling systems with g, g b ∼ 1, although even in this case it can miss effects due to fluctuations, as an additional p-wave instability [21]. In the metallic problem, the quasi-particles have spins as extra degrees of freedom and in principle there is the possibility of an additional s-wave pairing between quasi-particles at the gapless Fermi surfaces.…”
Section: Discussionmentioning
confidence: 99%
“…This solution represents one of the few cases in which the instability may be cured by means of a different homogeneous condensate. However, the secondary gap turns out to be extremely small and at temperatures typical of CSOs it is not able to fix the chromomagnetic instability (Alford and Wang, 2006).…”
Section: Contentsmentioning
confidence: 99%
“…• Secondary pairing. The gapless modes could form a secondary gap, but here too the gap is far too small 28,29 . • Mixed phases.…”
Section: Possible Solutions Of the Problem Of The Chromagnetic Instabmentioning
confidence: 99%