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Color superconductivity in a self-consistent NJL-type model

Li-Qun Su, Chao Shi, Yong-Hui Xia, Hongshi Zong

DOI 10.1103/PhysRevD.102.054028 · Physical Review D

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Abstract

In this paper, the NJL-type model is used to investigate the color superconductivity. The four-fermion interactions of the NJL-type model are Fierz-transformed into two different classes, i.e., the quark-antiquark and the quark-quark interaction channels, associated with the chiral symmetry breaking and color superconductivity respectively. We conclude that the weighting factor between quark-antiquark and quark-quark interaction channels has significance on the phase structure when the mean-field approximation is employed, and the baryon number density gives a tight constraint on the weighting factor of quark-antiquark interaction channels. Besides, the susceptibilities show that the color superconducting phase transition is of the second-order and takes place before the chiral crossover transition as quark number density increases. In the end, we study the critical temperatures Tc of the color superconductivity and it agrees with the perturbative result of diquark condensate Δ≈0.57Tc.

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