Search

Nowadays, the Gogny force is a referent in the theoretical description of nuclear structure phenomena. Its phenomenological character manifests in a simple analytical form that allows for implementations of techniques both at the mean field and beyond all over the nuclide chart. Over the years, multiple applications of the standard many-body techniques in an assorted set of nuclear structure applications have produced results which are in a rather good agreement with experimental data. The agreement allows for a simple interpretation of those intriguing phenomena in simple terms and gives confidence on the predictability of the interaction. The present status on the implementation of different many body techniques with the Gogny force is reviewed with a special emphasis on symmetry restoration and large amplitude collective motion., Comment: Review paper submitted to Journal of Physics G

Next generation of radioactive ion beam facilities like FAIR will open a bright future for nuclear structure and nuclear astrophysics research. In particular, very exotic nuclei (mainly neutron rich) isotopes will be produced and a lot of new exciting experimental data will help to test and improve the current nuclear models. In addition, these data (masses, reaction cross sections, beta decay half-lives, etc.) combined with the development of better theoretical approaches will be used as the nuclear physics input for astrophysical simulations. In this presentation I will review some of the state-of-the-art nuclear structure methods and their applications.

We have obtained very close approximations to the projection before the variation solutions with a restricted variation after projection method in a multilevel pairing Hamiltonian and particle number projection. The study of the projected potential energy surfaces defined along the direction of (ΔN)2 and (ΔN)4 allows the enlargement of the variational space in order to take into account more correlations within the projection after variation framework. The results show the equivalence of the full variational projected solution to a restricted one, the latter obtained with a more feasible method from a computational point of view than the former.

We present the 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. We apply the method to the study of 24Mg, 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 also show preliminary results for the γ-soft nucleus 126Xe.