In this paper, we study the influences of magnetic fields on the coexistence of diquark and chiral condensates in an extended Nambu–Jona–Lasinio model with QCD axial anomaly, as it relates to color-flavor-locked quark matter. Due to the coupling of rotated-charged quarks to magnetic fields, diquark condensates become split, and the coexistence region is thus superseded in favor of a specific diquark Bose–Einstein condensation (BEC), denoted as the BEC_I phase. For strong magnetic fields, we find that the BEC_I transition is pushed to larger quark chemical potentials. The effect of magnetic catalysis tends to disrupt the BEC–BCS (Bardeen–Cooper–Schrieffer) crossover predicted in previous works. For intermediate fields, the effect of inverse magnetic catalysis is observed, and the axial-anomaly-induced phase structure is essentially unchanged.

在本文中，我们研究了磁场对具有 QCD 轴异常的扩展 Nambu-Jona-Lasinio 模型中地夸克和手性凝聚体共存的影响，因为它与颜色锁定夸克物质有关。由于旋转带电夸克与磁场的耦合，迪夸克凝聚体分裂，共存区域因此被特定的迪夸克玻色-爱因斯坦凝聚（BEC）取代，表示为 BEC _I相。对于强磁场，我们发现 BEC _I跃迁被推向更大的夸克化学势。磁催化的作用往往会破坏先前工作中预测的 BEC-BCS（Bardeen-Cooper-Schrieffer）交叉。对于中间场，观察到逆磁催化作用，轴向异常诱导相结构基本不变。