有限密度下相互作用的$ud$和$uds$夸克物质和夸克星
Interacting $ud$ and $uds$ quark matter at finite densities and quark stars
摘要：
在考虑矢量相互作用的两味和（2+1）味Nambu-Jona-Lasinio（NJL）模型下研究了夸克物质的稳定性和状态方程。在引入自由参数$α$的情况下，拉格朗日量由原NJL拉格朗日量及其Fierz变换两部分构成，即$L=(1-α) L_{\rm{NJL}}+αL_{\rm{Fierz}}$ .我们发现，$ud$非奇异物质和$uds$奇异物质都有可能是绝对稳定的，这取决于禁闭与夸克矢量相互作用和交换相互作用通道的相互作用.计算的夸克星性质与最近测量的PSR J 0030 +0451和PSR J 0740 +6620的质量和半径以及GW 170817的潮汐形变一致。此外，非奇异星中夸克物质的相互作用更强，使得状态方程更硬，因此最大质量（$\sim2.7\, M_{\odot}$）也比奇异星（$\sim2.1\, M_{\odot}$）高。通过与中子星物质声速的比较，简要讨论了奇异和非奇异夸克星物质中的声速。
英文摘要：
The stability and equation of state of quark matter are studied within both two-flavor and (2+1)-flavor Nambu-Jona-Lasinio (NJL) models including the vector interactions. With a free parameter $α$, the Lagrangian is constructed by two parts, the original NJL Lagrangian and the Fierz transformation of it, as $L=(1-α) L_{\rm{NJL}}+αL_{\rm{Fierz}}$. We find that there is a possibility for both $ud$ nonstrange and $uds$ strange matter being absolute stable, depending on the interplay of the confinement with quark vector interaction and the exchange interaction channels. The calculated quark star properties can reconcile with the recently measured masses and radii of PSR J0030+0451 and PSR J0740+6620, as well as the tidal deformability of GW170817. Furthermore, the more strongly-interacting quark matter in the nonstrange stars allows a stiffer equation of state and consequently a higher maximum mass ($\sim2.7\, M_{\odot}$) than the strange ones ($\sim2.1\, M_{\odot}$). The sound velocities in strange and nonstrange quark star matter are briefly discussed compared to those of neutron star matter.
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