N体散射热力学的S矩阵表述
S-matrix formulation of thermodynamics with N-body scatterings
摘要:
我们应用相空间展开方案将N体散射过程纳入统计力学的S-矩阵公式中。一个广义的相移函数适用于研究$N \rightarrow N$过程的热贡献的动机和检查在各种模型。使用扩展方案,我们重新审视强子共振气体模型如何出现的S-矩阵框架,并考虑一个例子的无结构散射中的相移函数可以精确地计算出来。最后,我们分析了一个简单的例子中的3-和4-体散射的相移函数的动力学的影响。
英文摘要:
We apply a phase space expansion scheme to incorporate the N-body scattering processes in the S-matrix formulation of statistical mechanics. A generalized phase shift function suitable for studying the thermal contribution of $N \rightarrow N$ processes is motivated and examined in various models. Using the expansion scheme, we revisit how the hadron resonance gas model emerges from the S-matrix framework, and consider an example of structureless scattering in which the phase shift function can be exactly worked out. Finally we analyze the influence of dynamics on the phase shift function in a simple example of 3- and 4-body scattering.
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