标题： 冷密夸克物质的表面张力和曲率张力：Nambu-Jona-Lasinio 模型中的逐项分析 显示英文标题

标题： Surface and curvature tensions of cold dense quark matter: a term-by-term analysis within the Nambu-Jona-Lasinio model

摘要： 本文中，我们使用带有矢量相互作用的Nambu-Jona-Lasinio (NJL) 模型，对三种夸克物质的表面张力和曲率张力（$\sigma$和$\gamma$）进行了深入研究。 我们的方法确保了局域和整体电荷中性，以及弱相互作用下的化学平衡。 通过采用多次反射展开形式来考虑有限尺寸效应，我们探讨了特定输入参数的影响，特别是矢量耦合常数比值$\eta_V$、夸克物质液滴半径$R$，以及有限尺寸构型的电荷-核子比$\xi$。 我们重点关注了NJL拉格朗日每一项在平均场近似下对表面张力和曲率张力的贡献。 我们发现总表面张力表现出两种不同的密度区间：在大约核饱和密度的$100 \, \mathrm{MeV \, fm^{-2}}$倍时，它大致保持恒定，直到大约$2-4$倍核饱和密度，在这一点之后，它成为$n_B$的陡峭递增函数。 总表面张力和曲率张力对$R$的变化相对不敏感，但会受到$\xi$和$\eta_V$变化的显著影响。 我们观察到，对$\sigma$和$\gamma$的最大贡献来自于正则化的发散项，这使得这些量比在MIT袋模型中得到的相应量显著更高。 显示英文摘要

摘要： In this paper, we conduct a thorough investigation of the surface and curvature tensions, $\sigma$ and $\gamma$, of three-flavor cold quark matter using the Nambu-Jona-Lasinio (NJL) model with vector interactions. Our approach ensures both local and global electric charge neutrality, as well as chemical equilibrium under weak interactions. By employing the multiple reflection expansion formalism to account for finite size effects, we explore the impact of specific input parameters, particularly the vector coupling constant ratio $\eta_V$, the radius $R$ of quark matter droplets, as well as charge-per-baryon ratio $\xi$ of the finite size configurations. We focus on the role of the contributions of each term of the NJL Lagrangian to the surface and curvature tensions in the mean field approximation. We find that the total surface tension exhibits two different density regimes: it remains roughly constant at around $100 \, \mathrm{MeV \, fm^{-2}}$ up to approximately $2-4$ times the nuclear saturation density, and beyond this point, it becomes a steeply increasing function of $n_B$. The total surface and curvature tensions are relatively insensitive to variations in $R$ but are affected by changes in $\xi$ and $\eta_V$. We observe that the largest contribution to $\sigma$ and $\gamma$ comes from the regularized divergent term, making these quantities significantly higher than those obtained within the MIT bag model.