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arXiv 0708.0488hep-ph
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热密强子气体中粒子的几何尺寸效应

Effect of geometrical size of the particles in a hot and dense hadron gas

M. Mishra, C. P. Singh

摘要:

将有限大小的重子以热力学自洽的方式纳入到热密强子气体(HG)的物态方程(EOS)中是一个研究较多的问题。我们首先回顾其现状。各种模型已被提出,以考虑排斥力所产生的硬核的重子的几何尺寸导致在EOS中的排除体积效应。我们研究了这些模型的物理一致性标准,并总结了它们的不足之处。为了消除这些缺点,我们提出了一个新的模型,它采用了排除体积效应在一个物理上一致的方式。我们发现,新模型的作品,即使是非常大的温度和密度的情况下,大多数其他方法失败。此外,新的化学变量表达式在形式上类似于从化学不一致模型获得的那些,因此,这里已经建议了一个有用的校正因子,将不一致的表达式转换为化学一致的。最后,我们比较了新模型的预测结果与各种旧模型的预测结果。

英文摘要:

Incorporation of the finite size of baryons into the equation of state (EOS) of a hot and dense hadron gas (HG) in a thermodynamically consistent manner has been a much studied problem. We first review its current status. Various models have been proposed in order to account for the repulsive force generated by the hard-core geometrical size of the baryons resulting in an excluded volume effect in the EOS. We examine the criterion of the thermodynamical consistency of these models and summarize their shortcomings. In order to remove the shortcomings, we propose a new model which incorporates the excluded volume effect in a thermodynamically consistent manner. We find that the new model works even for the cases of extremely large temperatures and densities where most of other approaches fail. Furthermore, the new expressions for thermodynamical variables resemble in form with those obtained from thermodynamically inconsistent models and thus a useful correction factor has been suggested here which converts inconsistent expressions into thermodynamically consistent ones. Finally we compare the predictions of new model with those obtained from various old models.

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