论文标题
对强子共振气体中相互作用的统计校正方法
An approach of statistical corrections to interactions in hadron resonance gas
论文作者
论文摘要
我们提出了一个新模型，该模型具有量子机械的吸引力和排斥相互作用对某些空间相关长度参数敏感的模型，该空间相关长度参数受Beth-Uhlenbeck量子量子机械非理想的非理想气体模型\ cite {uhlenbeck1937quantum}。我们面对使用模型计算出的热力学的最新晶格数据，该数据在四个不同的baryon化学潜力中，$μ_{\ MATHTT {b}} = 0，170，340，425〜 $ MEV在温度上超过$ 130 $ 130 $ $ $ $ $ $ $ 0的$ 0. $ 0的$ 0.对于直到手性相过渡温度$ \ simeq 160〜 $ MEV的平衡温度，观察到模型和晶格数据之间的相当拟合的$ r $，尤其是$ r $，尤其是$ _ {μ_{\ mathtt {b}}，r） $（340,0.15）$，其中$μ_ {\ mathtt {b}} $在MEV中，$ r $在FM中。对于消失的化学潜力，不相关的模型（$ r = 0 $），它对应于理想的强子共振气体模型，似乎提供了最佳拟合度。量子强体相关性似乎在非变化的化学电位上可能更有可能，尤其是在[170，340〜 $ MEV $] $的$μ_ {\ Mathtt {b}} \ in范围内。
We propose a new model for hadrons with quantum mechanical attractive and repulsive interactions sensitive to some spatial correlation length parameter inspired by Beth-Uhlenbeck quantum mechanical non-ideal gas model \cite{uhlenbeck1937quantum}. We confront the thermodynamics calculated using our model with a corresponding recent lattice data at four different values of the baryon chemical potential, $μ_{\mathtt{b}}= 0, 170, 340, 425~$MeV over temperatures ranging from $130$ MeV to $200~$MeV and for five values for the correlation length ranging from $0$ to $0.2~$fm. For equilibrium temperatures up to the vicinity of the chiral phase transition temperature $\simeq 160~$MeV, a decent fitting between the model and the lattice data is observed for different values of $r$, especially at $(μ_{\mathtt{b}}, r) = (170,0.05), (340,0.1)$, and $(340,0.15)$, where $μ_{\mathtt{b}}$ is in MeV and $r$ is in fm. For vanishing chemical potential, the uncorrelated model ($r=0$), which corresponds to ideal hadron resonance gas model seems to offer the best fit. The quantum hadron correlations seem to be more probable at non-vanishing chemical potentials, especially within the range $μ_{\mathtt{b}}\in [170, 340~$MeV$]$.
