Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase

Physics – High Energy Physics – High Energy Physics - Phenomenology

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15 pages, 13 figures, published version in PRD

Scientific paper

10.1103/PhysRevD.74.036005

We investigated two pion condensed phases in the frame of the two flavor Nambu--Jona-Lasinio model at finite baryon density: the homogeneous and isotropic Sarma phase and inhomogeneous and anisotropic Larkin-Ovchinnikov-Fudde-Ferrell(LOFF) phase. At small isospin chemical potential $\mu_I$, the Sarma state is free from the Sarma instability and magnetic instability due to the strong coupling and large enough effective quark mass. At large $\mu_I$, while the Sarma instability can be cured via fixing baryon density $n_B$ to be nonzero, its magnetic instability implies that the LOFF state is more favored than the Sarma state. In the intermediate $\mu_I$ region, the stable ground state is the Sarma state at higher $n_B$ and LOFF state at lower $n_B$.

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