相对论性核物质的分数不相容统计
Fractional exclusion statistics applied to relativistic nuclear matter
摘要：
在相对论平均场模型推广到分数不相容统计（FES）框架下，研究了在密度和温度极端条件下核物质中准粒子的统计效应。在该模型中，核子被描述为服从FES的准粒子，模型参数被选择以再现同位旋对称核物质的基态性质。在这种情况下，准粒子的统计与中性标量和矢量介子场介导的核子-核子相互作用的强度有关。相关的热力学量作为核子密度，温度和分数不相容统计参数$α$的函数进行了计算。已经表明，在高温和高密度下，系统的热力学对粒子的统计有很强的依赖性。我们还计算了核子-核子相互作用强度与粒子统计无关的情况，但这通常导致不稳定的热力学。
英文摘要：
The effect of statistics of the quasiparticles in the nuclear matter at extreme conditions of density and temperature is evaluated in the relativistic mean-field model generalized to the framework of the fractional exclusion statistics (FES). In the model, the nucleons are described as quasiparticles obeying FES and the model parameters were chosen to reproduce the ground state properties of the isospin-symmetric nuclear matter. In this case, the statistics of the quasiparticles is related to the strengths of the nucleon-nucleon interaction mediated by the neutral scalar and vector meson fields. The relevant thermodynamic quantities were calculated as functions of the nucleons density, temperature and fractional exclusion statistics parameter $α$. It has been shown that at high temperatures and densities the thermodynamics of the system has a strong dependence on the statistics of the particles. The scenario in which the nucleon-nucleon interaction strength is independent of the statistics of particles was also calculated, but it leads in general to unstable thermodynamics.
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