Triaxial Hartree-Fock-Bogolyubov calculations withD1effective interaction

The Hartree-Fock and Hartree-Fock-Bogolyubov methods are used for the description of nuclei with triaxial (i.e., ellipsoidal) shapes. The Gogny $D1\mathrm{}$ finite range density dependent interaction is employed. A comparison between various prescriptions for the calculation of pairing correlations in nuclei indicates the necessity for the self-consistent treatment of pairing. Using this last method we obtain results concerning nuclear shapes and deformation energy surfaces for nuclei ranging from the lightest ones to the fission barrier of ${}_{}{}^{240}{}_{}{}^{}\mathrm{Pu}$.