论文标题
在有限的同音化学电位上，矢量通道的贡献具有自洽平均场近似值
The contributions of the vector-channel at finite isospin chemical potential with the self-consistent mean field approximation
论文作者
论文摘要
两种味的NJL模型的自洽平均场近似介绍了免费参数$α$（$α$（$α$）反映了不同交互渠道的重量），用于调查有限isospin Chance-sospin Chemical势能$μ_I$ $μ_i$和零Baryon Chicety Chemical Chemical Chemical Chemical Chemical Chemical Chemical $ baryon Chemical $ $ y_b $ $μ__b$ $μ__b$ $μ__b$ $ $μ__b$ $ t $ $ t $ t $ t $ t $ t $ t $ t $ t $ t $ t $ t $ t $ t $ t $ t $ t $ T。该计算表明，与NJL模型的标准拉格朗日相比，对矢量通道贡献的考虑导致PION冷凝物在超氟阶段的值较低（$α= 0 $）。在超氟化阶段，我们还获得了较低的同胞数密度，并且随着同胞素电位的增加，差异越来越大。与Lattice QCD的最新结果相比，我们以$α= 0.5 $获得的Isospin密度和能量密度与晶格的数据一致。在$ t-μ_i$ plane的相图中，$μ_b= 0 $，我们可以看到，$α= 0 $和$α= 0.5 $的结果之间的临界温度的差异最高为$ 3 \％-5 \％$ $。所有这些表明，矢量通道在同胞素介质中起着重要作用。
The self-consistent mean field approximation of two-flavor NJL model, which introduces a free parameter $α$ ($α$ reflects the weight of different interaction channels), is employed to investigate the contributions of the vector-channel at finite isospin chemical potential $μ_I$ and zero baryon chemical potential $μ_B$ and zero temperature $T$. The calculations show that the consideration of the vector-channel contributions leads to lower value of pion condensate in superfluid phase, compared with the standard Lagrangian of NJL model ($α=0$). In superfluid phase, we also obtain lower isospin number density, and the discrepancy is getting larger with the increase of isospin potential. Compared with the recent results from Lattice QCD, the isospin density and energy density we obtained with $α=0.5$ agree with the data of lattice well. In the phase diagram in the $T-μ_I$ plane for $μ_B=0$, we can see that the difference of the critical temperatures of phase transition between the results with $α=0$ and $α=0.5$ is up to $3\%-5\%$ for a fixed isospin potential. All of these indicate that the vector channels play an important role in isospin medium.
