Pionic BEC--BCS crossover at finite isospin chemical potential

Abstract

We study the character change of the pionic condensation at finite isospin chemical potential μ_\mathrm{I} by adopting the linear sigma model as a non-local interaction between quarks. At low |μ_\mathrm{I}| the condensation is purely bosonic, then the Cooper pairing around the Fermi surface grows gradually as |μ_\mathrm{I}| increases. This q-\bar q pairing is weakly coupled in comparison with the case of the q-q pairing that leads to color superconductivity.

17 pages, 3 figures, typos in eq.(6) and refs.[37] and [41] are corrected, published in Phys. Rev. D

References in corpus (11)

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• Pion and Kaon Condensation at Finite Temperature and Density
• The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model
• Linear sigma model at finite density in the 1/N expansion to next-to-leading order
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Cited by in corpus (11)

• Bose-Einstein Condensate general relativistic stars
• Three-flavor Nambu--Jona-Lasinio model at finite isospin chemical potential
• Singular values of the Dirac operator in dense QCD-like theories
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Bose-Einstein condensate strings
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Thin accretion disks around cold Bose-Einstein Condensate stars
• Functional renormalization group at finite density and Bose condensation
• BCS-BEC crossover in relativistic Fermi systems
• Compact stars in the Einstein dark energy model
• Pairing fluctuation effects in a strongly coupled color superfluid/superconductor