Study of Even-Z Nuclei Up to Mg with the Gogny Force Using AMD

Employing the Gogny force as an effective force, we study the ground state properties of light nuclei using antisymmetrized molecular dynamics (AMD). In this study, we are mainly concerned with the binding energies and radii of light even-Z isotopes, namely He, Be, C, O, Ne and Mg. Using a new technique to calculate the density dependent term of the effective force, we have realized fast and accurate calculations. From a comparison with Skyrme SIII results within the same AMD framework, we find that the Gogny and SIII forces well reproduce the experimental binding energies of stable nuclei. The two forces give almost equal radii, except in the case of 7Be and 9Be. For both forces, approximate treatment of the center-of-mass kinetic energy causes overestimation of the binding energy compared with the exact treatment. It also causes a decrease of the nuclear deformation compared with the exact treatment. We also carry out an energy variation after the parity projection. With regard to the binding energies and radii, parity-projected calculations do not exhibit a large difference compared to non-projected results, although the density distribution and clustering features are often significantly changed by the parity projection.