能量密度泛函与不稳定性的协方差分析
Covariance analysis for Energy Density Functionals and instabilities
摘要：
我们提出了两个成功的核能密度泛函的协方差分析，（i）一个非相对论Skyrme功能建立从零程有效相互作用，和（ii）相对论核能密度功能的基础上依赖于密度的介子-核子耦合。协方差分析是理解模型的局限性、观测量之间的相关性和统计误差的有用工具。我们表明，对于我们选择的测试核208 Pb，当放松对拟合中包含的属性A的约束时，与其他可观测量B的相关性变得更大;另一方面，当对A施加强约束时，与其他属性的相关性变得非常小。我们还提供了一个简短的评论，部分与协方差分析，目前在核物理中使用的几个能量密度泛函显示的一些不稳定性。
英文摘要：
We present the covariance analysis of two successful nuclear energy density functionals, (i) a non-relativistic Skyrme functional built from a zero-range effective interaction, and (ii) a relativistic nuclear energy density functional based on density dependent meson-nucleon couplings. The covariance analysis is a useful tool for understanding the limitations of a model, the correlations between observables and the statistical errors. We show, for our selected test nucleus 208Pb, that when the constraint on a property A included in the fit is relaxed, correlations with other observables B become larger; on the other hand, when a strong constraint is imposed on A, the correlations with other properties become very small. We also provide a brief review, partly connected with the covariance analysis, of some instabilities displayed by several energy density functionals currently used in nuclear physics.
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