OPTIMIZED DESCRIPTION OF NUCLEAR SHAPES AND SYMMETRIES

We propose a group-theory-based method of analysis of the multipole type (\alpha_{\lambda\mu}) deformation spaces for the large scale calculations within nuclear mean-field applications. It allows to find ahead of time which sub-sets of the deformation space, although formally different, in fact represent the same information (the same nuclear shapes expressed by an alternative combination of the deformation parameters). The approach presented allows to save important amounts of the computing time in the large-scale mean-field calculations, both in constrained Hartree-Fock (where \alpha_{\lambda\mu} is replaced by the constraint equation $Q_{\lambda\mu} = \langle\Psi\vert\hat{Q}_{\lambda\mu}\vert\Psi\rangle$), and in the Strutinsky type approaches