Abstract
Parametric correlations are studied in several classes of covariant density functional theories (CDFTs) using a statistical analysis in a large parameter hyperspace. In the present manuscript, we investigate such correlations for two specific types of models, namely, for models with density dependent meson exchange and for point coupling models. Combined with the results obtained previously in Ref. [1] for a non-linear meson exchange model, these results indicate that parametric correlations exist in all major classes of CDFTs when the functionals are fitted to the ground state properties of finite nuclei and to nuclear matter properties. In particular, for the density dependence in the isoscalar channel only one parameter is really independent. Accounting for these facts potentially allows one to reduce the number of free parameters considerably.
Highlights
Parametric correlations are studied in several classes of covariant density functional theories (CDFTs) using a statistical analysis in a large parameter hyperspace
It is universal in the sense that the form of the energy density functional (EDF) does not depend on the nucleus, nor on the specific region where it is applied, but only on the underlying interaction
Covariant density functional theories (CDFT) [3,4,5,6,7] are interesting because they obey a basic symmetries of QCD
Summary
The results for the parametric correlations between the parameters cω and cσ of the DDME-X functional obtained by full statistical analysis are located in between those defined by means of the simplex-based minimization method Linear parametric correlations exist between the parameters g2 and g3 which are responsible for the density dependence in the isoscalar channel of the NLME model [1]. They are a direct consequence of the fact that time-even and the time-odd components in relativistic functionals are determined by the same coupling constants
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