Pionic BEC--BCS crossover at finite isospin chemical potential

Abstract

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

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