论文标题
核问题临界点附近粒子数的量子统计效应和波动
Quantum statistics effects and fluctuations of particle numbers near the critical point of nuclear matter
论文作者
论文摘要
具有量子统计校正的状态方程是针对通过排斥且有吸引力的范德华（VDW）相互作用的多组分气体的，最高为小参数$δ\ y \ hbar^3 n（mt）^{-3/2}^{-3/2} [g（1- bn）^（1- bn）的$ n（$ n）$ and $ and $ and $ and $ and $ and $ and， $ m $和$ g $粒子质量和退化因子。参数$ b $对应于VDW排除的卷。对于费米核子和玻色$α$颗粒的相互作用系统，在$α$粒子和核子小参数$δ$的一小部分$α$颗粒的小杂质中，对对称核物质的基本结果并没有太大变化。粒子数波动$ω$由等温度内压缩性$ \ MATHCAL {k}（n，t）$可以在对称核子物质的相同的一阶量子统计近似值上进行分析获得。我们的近似分析结果似乎与准确的数值计算非常吻合。
Equation of state with quantum statistics corrections is derived for a multi-component gas of particles interacting through the repulsive and attractive van der Waals (vdW) forces up to first few orders over a small parameter $δ\approx \hbar^3 n(mT)^{-3/2}[g(1- bn)]^{-1}$, where $n$ and $T$ are the particle number density and temperature, $m$ and $g$ the particle mass and degeneracy factor. The parameter $b$ corresponds to the vdW excluded volume. For interacting system of Fermi nucleon and Bose $α$ particles, a small impurity of $α$ particles to the nucleon system at leading first order in both $α$ particle and nucleon small parameters $δ$ does not change much the basic results for the symmetric nuclear matter. The particle number fluctuations $ω$ determined by the isothermal in-compressibility $\mathcal{K}(n,T)$ can be obtained analytically at the same first order quantum-statistics approximation for symmetric nucleon matter. Our approximate analytical results appear to be in good agreement with the accurate numerical calculations.
