Global consequences of removing parametric correlations in covariant energy density functionals.*

Covariant density functional theory (CDFT) is one of the modern theoretical tools for the description of finite nuclei and neutron stars.  Its performance is defined by underlying covariant energy density functionals (CEDFs) which depend on several parameters. The analysis of the major classes of CEDFs reveals the existence of parametric correlations between these parameters [1,2]. The removal of these correlations reduces the number of independent parameters to five or six depending on the underlying functional structure. However, this analysis is based on the fitting protocols which employ only spherical nuclei.  In the present contribution, we investigated the consequences of the removal of parametric correlations to full nuclear landscape for which experimental data are available [3]. It is shown that the removal of parametric correlations does not lead to a degradation of the performance of CEDFs on a global scale. Moreover, this study also reveals the need to include information on deformed nuclei for the improvement of fitting protocols. In addition, the asymptotic behavior of the basis truncation on the physical observables of interest has been analyzed. It also reveals that for a comparable accuracy description a larger basis is needed in deformed nuclei as compared with spherical ones.