标题： 强子共振气体相互作用的统计校正方法 显示英文标题

标题： An approach of statistical corrections to interactions in hadron resonance gas

摘要： 我们提出了一种新的强子模型，该模型具有受空间相关长度参数影响的量子力学吸引力和排斥力，这一想法受到Beth-Uhlenbeck量子力学非理想气体模型的启发\cite{uhlenbeck1937quantum}。 我们将使用本模型计算的热力学性质与四个不同的重子化学势值对应的最近格点数据进行对比，这些数据的温度范围从$130$MeV 到$200~$MeV，重子化学势为$\mu_{\mathtt{b}}= 0, 170, 340, 425~$MeV，并且相关长度取五个值，范围从$0$到$0.2~$fm。 对于达到手征相变温度附近的平衡温度（$\simeq 160~$MeV），发现在不同的$r$值下，模型与格点数据之间存在良好的拟合，特别是在$(\mu_{\mathtt{b}}, r) = (170,0.05), (340,0.1)$和$(340,0.15)$处，其中$\mu_{\mathtt{b}}$单位为 MeV，$r$单位为 fm。 对于零化学势的情况，未考虑关联性的模型（$r=0$），即理想强子共振气体模型，似乎提供了最佳拟合。 量子强子关联在非零化学势下似乎更有可能发生，特别是在$\mu_{\mathtt{b}}\in [170, 340~$兆电子伏特到$]$兆电子伏特的范围内。 显示英文摘要

摘要： 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, $\mu_{\mathtt{b}}= 0, 170, 340, 425~$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 $(\mu_{\mathtt{b}}, r) = (170,0.05), (340,0.1)$, and $(340,0.15)$, where $\mu_{\mathtt{b}}$ 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 $\mu_{\mathtt{b}}\in [170, 340~$MeV$]$.