The chiral phase transition and equation of state are studied within a novel self-consistent mean-field approximation of the two-flavor Nambu-Jona-Lasinio model. In this newly developed model, modifications to the chemical μ and chiral chemical potentials are naturally included by introducing vector and axial-vector channels from Fierz-transformed Lagrangian to the standard Lagrangian. In the proper-time scheme, the chiral phase transition is a crossover in the plane. However, when is incorporated, our study demonstrates that a first order phase transition may emerge. Furthermore, the chiral imbalance will soften the equation of state of quark matter. The mass-radius relationship and tidal deformability of quark stars are calculated. The maximum mass and radius decrease as increases. Our study also indicates that the vector and axial-vector channels exhibit an opposite influence on the equation of state.

在两种风味的 Nambu-Jona-Lasinio 模型的新型自洽平均场近似内研究手性相变和状态方程。在这个新开发的模型中，通过将向量和轴向向量通道从 Fierz 变换拉格朗日算子引入标准拉格朗日算子，自然地包括对化学μ和手性化学势的修改。在适时方案中，手性相变是平面上的交叉。然而，当纳入，我们的研究表明可能会出现一级相变。此外，手性不平衡会软化夸克物质的状态方程。计算了夸克星的质量半径关系和潮汐变形能力。最大质量和半径随着增加而减小。我们的研究还表明矢量和轴向矢量通道对状态方程具有相反的影响。