Phase Diagram at Finite Chemical Potentials in the Nambu-Jona-Lasinio Model
We study the phase diagram of two flavor dense QCD at finite isospin and baryon chemical potentials in the framework of Nambu-Jona-Lasinio model. The system undergoes a crossover from a Bose-Einstein condensate of charged pions to a BCS superfluid with condensed quark-antiquark Cooper pairs when {mu}{sub I} increases at {mu}{sub B} = 0, and a nonzero baryon chemical potential serves as a mismatch between the pairing species. We observe a gapless pion condensation phase near the quadruple point ({mu}{sub I},{mu}{sub B}) = (m{sub {pi}},M{sub N}-1.5m{sub {pi}}) where m{sub {pi}}, M{sub N} are the vacuum masses of pions and nucleons, respectively. At very large isospin chemical potential, {mu}{sub I}>6.36m{sub {pi}}, an inhomogeneous LOFF superfluid phase appears in a window of {mu}{sub B}. Between the gapless and the LOFF phases, the pion superfluid phase and the normal quark matter phase are connected by a first order phase transition.