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arXiv 1604.07296nucl-th
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协变能量密度泛函:核物质约束和整体基态性质

Covariant energy density functionals: nuclear matter constraints and global ground state properties

A. V. Afanasjev, S. E. Agbemava

摘要:

研究了协变能量密度泛函对基态性质(结合能、电荷半径)的整体描述与核物质性质之间的相关性。得出的结论是,严格执行对核物质性质(NMP)的限制,\cite{RMF-nm}不一定能得到对结合能和其它基态及激发态性质有很好描述的泛函。此外,它不会大大减少在富中子系统的结合能的预测的不确定性。事实证明,接近满足这些NMP约束的泛函在描述现有数据时存在一些问题。另一方面,这些问题是不存在的或小得多的泛函仔细拟合有限核,但违反了一些NMP的限制。这是因为有限核的性质不仅由核物质性质决定,而且还由潜在的壳效应决定。存在于所有现代泛函中的唯象内容的不匹配,与核物质物理和有限核物理有关,也可能是原因。

英文摘要:

The correlations between global description of the ground state properties (binding energies, charge radii) and nuclear matter properties of the state-of-the-art covariant energy density functionals have been studied. It was concluded that the strict enforcement of the constraints on the nuclear matter properties (NMP) defined in Ref.\ \cite{RMF-nm} will not necessary lead to the functionals with good description of the binding energies and other ground and excited state properties. In addition, it will not substantially reduce the uncertainties in the predictions of the binding energies in neutron-rich systems. It turns out that the functionals, which come close to satisfying these NMP constraints, have some problems in the description of existing data. On the other hand, these problems are either absent or much smaller in the functionals which are carefully fitted to finite nuclei but which violate some NMP constraints. This is a consequence of the fact that the properties of finite nuclei are defined not only by nuclear matter properties but also by underlying shell effects. The mismatch of phenomenological content, existing in all modern functionals, related to nuclear matter physics and the physics of finite nuclei could also be responsible.

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