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arXiv 1106.3157nucl-th
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基于真实$NN$相互作用的有限核相对论描述

Relativistic Description of Finite Nuclei Based on Realistic $NN$ Interactions

E. N. E. van Dalen, H. Müther

摘要:

本文建立了一套相对论平均场模型,包括Hartree和Hartree-Fock近似,考虑了等势介子和等矢量介子以及π介子的交换。密度相关的耦合函数被确定为在费米面处再现核子自能的分量,在Dirac-Brueckner-Hartree-Fock(DBHF)方法内使用现实的核子-核子相互作用获得。研究了无限大物质的自能和总能量与动量的关系,在何种程度上各种平均场模型都能再现DBHF的结果。平均场模型也被用来评估球形闭壳层核的整体性质。我们发现,Hartree-Fock模型考虑了$σ,\,ω,\,ρ,\,δ$介子和π介子的交换,在无限物质中得到了DBHF结果的最佳再现,并且在不调整参数的情况下也很好地描述了有限核的性质.

英文摘要:

A set of relativistic mean field models is constructed including the Hartree and Hartree-Fock approximation accounting for the exchange of isoscalar and isovector mesons as well as the pion. Density dependent coupling functions are determined to reproduce the components of the nucleon self-energy at the Fermi surface, obtained within the Dirac-Brueckner-Hartree-Fock (DBHF) approach using a realistic nucleon-nucleon interaction. It is investigated, to which extend the various mean field models can reproduce the DBHF results for the momentum dependence of the self-energies and the total energy of infinite matter. The mean field models are also used to evaluate the bulk properties of spherical closed-shell nuclei. We find that the Hartree-Fock model allowing for the exchange of $σ,\,ω,\,ρ,\,δ$ mesons and pions, yield the best reproduction of the DBHF results in infinite matter and also provides a good description of the properties of finite nuclei without any adjustment of parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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