Triaxial angular momentum projection and configuration mixing calculations with the Gogny force

Abstract

We present the first implementation in the (β, γ) plane of the generator coordinate method with full triaxial angular momentum and particle number projected wave functions using the Gogny force. Technical details about the performance of the method and the convergence of the results both in the symmetry restoration and the configuration mixing parts are discussed in detail. We apply the method to the study of 24 Mg, the calculated energies of excited states as well as the transition probabilities are compared to the available experimental data showing a good overall agreement. In addition, we present the RVAMPIR approach which provides a good description of the ground and gamma bands in the absence of strong mixing.

Low-lying spectroscopy of a few even-even silicon isotopes investigated with the multiparticle-multihole Gogny energy density functional

“…As discussed in Ref. [11], a fully self-consistent solution of the multiconfiguration approach consists of solving simultaneously both equations (5) and (8). It is important to notice that, in our approach, the mean field and beyond mean-field descriptions are obtained in a consistent way since they both follow from variations of the same functional.…”

“…(5), one calculates ρ and σ and solves Eq. (8). With the new set of single particle orbitals, one redoes the procedure until convergence of ρ and σ.…”

“…Nowadays, a lot of efforts is applied to move beyond the mean field approximation and account for missing correlations. Special attention is paid to the restoration of symmetries broken in mean field approaches [1][2][3][4][5][6][7][8][9], for example using projection techniques. An alternative way is to develop a theory in which the trial wave functions preserve certain symmetries.…”

Triaxiality of neutron-rich Ge84,86,88 from low-energy nuclear spectra

“…[7]), or energy density functional-based models (e.g., Ref. [8]), discuss potential energy surfaces in terms of the geometrical deformation parameters β and γ . * mlettmann@ikp.tu-darmstadt.…”

Low-lying structure and shape evolution in neutron-rich Se isotopes

“…Further details are described in Refs. [5,[38][39][40]. In addition, only time-reversal (static) and parity symmetric intrinsic shapes were considered, i.e., cranked or octupole deformed states were not included.…”