热QCD分析性质中的核液-气相变痕迹
Traces of the nuclear liquid-gas phase transition in the analytic properties of hot QCD
摘要：
在正常核密度下的核液-气跃迁，$n \sim n_0 = 0.16$ fm $^{-3}$，和小温度下的核液-气跃迁，$T \sim 20$ MeV，对QCD巨正则热力学势的分析性质有很大的影响。一个经典的范德华方程被用来确定这些意想不到的功能，由于密集的冷物质定性。对于$T > T_c \simeq 20$ MeV，核物质临界点的存在导致热力学分支点，这些分支点位于复杂的化学势值处，并且在相当大的温度$T \lesssim 100$ MeV下表现出适度的模型依赖性.利用范德华强子共振气体模型研究了高温下的行为。重子-重子相互作用对$μ_B = 0$附近的QCD热力学有决定性的影响。特别是，核物质奇点限制了$μ_B/T$中泰勒展开的收敛半径$r_{μ_B/T}$，其中$r_{μ_B/T} \sim 2-3$值在VdW-HRG模型中获得的$T \sim 140-170$ MeV处。
英文摘要：
The nuclear liquid-gas transition at normal nuclear densities, $n \sim n_0 = 0.16$ fm$^{-3}$, and small temperatures, $T \sim 20$ MeV, has a large influence on analytic properties of the QCD grand-canonical thermodynamic potential. A classical van der Waals equation is used to determine these unexpected features due to dense cold matter qualitatively. The existence of the nuclear matter critical point results in thermodynamic branch points, which are located at complex chemical potential values, for $T > T_c \simeq 20$ MeV, and exhibit a moderate model dependence up to rather large temperatures $T \lesssim 100$ MeV. The behavior at higher temperatures is studied using the van der Waals hadron resonance gas (vdW-HRG) model. The baryon-baryon interactions have a decisive influence on the QCD thermodynamics close to $μ_B = 0$. In particular, nuclear matter singularities limit the radius of convergence $r_{μ_B/T}$ of the Taylor expansion in $μ_B/T$, with $r_{μ_B/T} \sim 2-3$ values at $T \sim 140-170$ MeV obtained in the vdW-HRG model.
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