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arXiv 1502.06279nucl-thhep-ph
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夸克和核物质的集团维里展开

Cluster virial expansion for quark and nuclear matter

David Blaschke

摘要:

我们采用$Φ-$可导出的方法,许多粒子系统具有强相关性,可以导致形成不同大小的束缚态(集群)。我们定义了一个通用形式的$Φ-$泛函,这是完全相当于一个自洽的集群维里扩展到第二维里系数的集群之间的相互作用。作为例子,我们考虑核物质中的原子核和夸克物质中的强子,特别注意核物质中的氘核和夸克物质中的介子。我们推导出一个广义的Beth-Uhlenbeck状态方程,其中准粒子维里展开扩展到包括任意团簇。该方法适用于核物质的非相对论势模型和夸克物质的相对论场论模型。它特别适合于描述热的、致密的物质中的团簇形成和解离。

英文摘要:

We employ the $Φ-$ derivable approach to many particle systems with strong correlations that can lead to the formation of bound states (clusters) of different size. We define a generic form of $Φ-$ functionals that is fully equivalent to a selfconsistent cluster virial expansion up to the second virial coefficient for interactions among the clusters. As examples we consider nuclei in nuclear matter and hadrons in quark matter, with particular attention to the case of the deuterons in nuclear matter and mesons in quark matter. We derive a generalized Beth-Uhlenbeck equation of state, where the quasiparticle virial expansion is extended to include arbitrary clusters. The approach is applicable to nonrelativistic potential models of nuclear matter as well as to relativistic field theoretic models of quark matter. It is particularly suited for a description of cluster formation and dissociation in hot, dense matter.

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