Color superconductivity in a self-consistent NJL-type model

• Published in: Physical review. D 2020-09, Vol.102 (5), p.1, Article 054028
• Main Authors: Su, Li-Qun, Shi, Chao, Xia, Yong-Hui, Zong, Hongshi
• Format: Article
• Language: English
• Subjects: Broken symmetry; Channels; Color; Density; Fermions; Phase transitions; Quarks; Solid phases; Superconductivity; Weighting
• ISSN: 2470-0010; 2470-0029
• DOI: 10.1103/PhysRevD.102.054028

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 T c of the color superconductivity and it agrees with the perturbative result of diquark condensate Δ ≈ 0.57Tc.