BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD

Abstract

The BEC-BCS crossover in QCD at finite baryon and isospin chemical potentials is investigated in the Nambu--Jona-Lasinio model. The diquark condensation in two color QCD and the pion condensation in real QCD would undergo a BEC-BCS crossover when the corresponding chemical potential increases. We determined the crossover chemical potential as well as the BEC and BCS regions. The crossover is not triggered by increasing the strength of attractive interaction among quarks but driven by changing the charge density. The chiral symmetry restoration at finite temperature and density plays an important role in the BEC-BCS crossover. For real QCD, strong couplings in diquark and vector meson channels can induce a diquark BEC-BCS crossover in color superconductor, and in the BEC region the chromomagnetic instability is fully cured and the ground state is a uniform phase.

18 pages, 15 figures. V2: typos corrected, references added. V3: typos in Appendix B corrected

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Cited by in corpus (10)

• Relativistic BCS-BEC crossover in a boson-fermion model
• Bound diquarks and their Bose-Einstein condensation in strongly coupled quark matter
• Relativistic BCS-BEC Crossover at Finite Temperature and Its Application to Color Superconductivity
• BCS-BEC crossover in dense relativistic matter: Collective excitations
• Phase diagram of chiral quark matter: Fulde-Ferrell pairing from weak to strong coupling
• Color neutrality effects in the phase diagram of the PNJL model
• BCS BEC crossover and phase structure of relativistic system: a variational approach
• BCS-BEC crossover in a relativistic boson-fermion model beyond mean field approximation
• Kaon-condensed hypernuclei as highly dense self-bound objects
• Pion Superfluidity beyond Mean Field Approximation In Nambu--Jona-Lasinio Model