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

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arxiv hep-ph/0703159 v3 pith:MBGYV6QZ submitted 2007-03-15 hep-ph cond-mat.supr-conhep-lathep-thnucl-th

classification hep-phcond-mat.supr-conhep-lathep-thnucl-th
keywords crossoverbec-bcschemicaldiquarkcolorcondensationdensityfinite
verification ladder T0 review T1 audit T2 compute T3 formal

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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 149 citations worldwide. Full citation record

  1. Quantum phases at high chemical potential in 2-flavor matrix-QC$_2$D

    hep-th 2026-07 conditional novelty 6.0 of 10

    In a matrix model of two-flavor two-color QCD, large baryon/isospin/chiral chemical potentials produce a web of quantum phases, including spin-1 LOFF-like states whose quark spin fraction can approach one.

  2. Renormalization group invariant mean-field model for QCD at finite isospin density

    hep-ph 2025-02 conditional novelty 6.0 of 10

    A renormalization-group invariant mean-field quark-meson model with one fitted scale reproduces lattice QCD thermodynamics at finite isospin density and predicts a multicritical chiral/pion-condensation point in the c...

  3. QCD phase transition at finite isospin density and magnetic field

    nucl-th 2026-03 unverdicted novelty 5.0 of 10

    In the NJL model, increasing isospin chemical potential favors pion superfluidity at small magnetic fields and rho superconductivity at large magnetic fields.

  4. Minimal superfluid vortices in chiral perturbation theory

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.

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