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arXiv 1305.0282nucl-th
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稀物质中原子核的密度和能量

Densities and energies of nuclei in dilute matter

P. Papakonstantinou, J. Margueron, F. Gulminelli, Ad. R. Raduta

摘要:

利用Skyrme-Hartree-Fock微观计算方法研究了核子气体中原子团簇的基态性质。介绍了两种不同的集群表示,即坐标空间和能量空间集群。我们parameterized他们的密度分布在球对称的能量密度泛函的基本性质,并提出了一个分析,伍兹-撒克逊密度分布,其参数依赖于,不仅在集群的组成,而且核子气体。在局域密度近似的帮助下,我们研究了团簇的能量,并通过我们的微观结果进行了验证。我们发现,坐标空间团簇的体积能量是由物质的饱和性质,而表面能的气体的存在强烈的影响。我们的结论是,密度分布和集群能量的强烈影响的气体和讨论的影响,核EOS和相关的观点。我们的研究提供了一个简单的,但微观动机的能量学的成簇物质在欠饱和密度建模,直接用于天体物理学的兴趣,相应的应用。

英文摘要:

We explore the ground-state properties of nuclear clusters embedded in a gas of nucleons with the help of Skyrme-Hartree-Fock microscopic calculations. Two alternative representations of clusters are introduced, namely coordinate-space and energy-space clusters. We parameterize their density profiles in spherical symmetry in terms of basic properties of the energy density functionals used and propose an analytical, Woods-Saxon density profile whose parameters depend, not only on the composition of the cluster, but also of the nucleon gas. We study the clusters' energies with the help of the local-density approximation, validated through our microscopic results. We find that the volume energies of coordinate-space clusters are determined by the saturation properties of matter, while the surface energies are strongly affected by the presence of the gas. We conclude that both the density profiles and the cluster energies are strongly affected by the gas and discuss implications for the nuclear EoS and related perspectives. Our study provides a simple, but microscopically motivated modeling of the energetics of clusterized matter at subsaturation densities, for direct use in consequential applications of astrophysical interest.

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