We propose a new model for hadrons with quantum mechanical attractive and repulsive interactions sensitive to some spatial correlation length parameter inspired by the Beth-Uhlenbeck quantum mechanical nonideal gas model (Uhlenbeck and Beth, 1937). We confront the thermodynamics calculated using our model with a corresponding recent lattice data at four different values of the baryon chemical potential, over temperatures ranging from to and for five values for the correlation length ranging from to 0.2 fm. For equilibrium temperatures up to the vicinity of the chiral phase transition temperature ≃160 MeV, a decent fitting between the model and the lattice data is observed for different values of , especially at , where is in MeV and is in fm. For the vanishing chemical potential, the uncorrelated model , which corresponds to the ideal hadron resonance gas model, seems to offer the best fit. The quantum hadron correlations seem to be more probable at nonvanishing chemical potentials, especially within the range .

中文翻译：

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统计校正强子共振气体相互作用的方法

我们为量子力学吸引和排斥相互作用的强子提出了一个新模型，该模型对某些空间相关长度参数敏感，该参数受Beth-Uhlenbeck量子力学非理想气体模型的启发（Uhle​​nbeck和Beth，1937年）。我们用模型计算出的热力学与相应的最新晶格数据进行了对比，这些数据分别是重子化学势的四个不同值，温度范围从到到，相关长度从到0.2 fm的五个值。对于达到手性相变温度≃160MeV附近的平衡温度，对于的不同值，尤其是在，其中，在兆电子伏，并在FM。对于消失的化学势，不相关的模型，对应于理想的强子共振气体模型，似乎提供了最合适的。在不消失的化学势下，尤其是在该范围内，量子强子相关性似乎更有可能。