Covariance analysis for Energy Density Functionals and instabilities
Abstract
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.
Cite
@article{arxiv.1406.1885,
title = {Covariance analysis for Energy Density Functionals and instabilities},
author = {X. Roca-Maza and N. Paar and G. Colò},
journal= {arXiv preprint arXiv:1406.1885},
year = {2016}
}
Comments
Accepted in JPhysG; Focus issue "Enhancing the interaction between nuclear experiment and theory through information and statistics" (ISNET)