Angular momentum projected analysis of Quadrupole Collectivity in   \protect(^{30,32,34}Mg\protect) and \protect(^{32,34,36,38}Si\protect) with   the Gogny interaction
  A microscopic angular momentum projection after variation is used to describe quadrupole collectivity in (^{30,32,34}Mg) and (^{32,34,36,38}Si). The Hartree-Fock-Bogoliubov states obtained in the quadrupole constrained mean field approach are taken as intrinsic states for the projection. Excitation energies of the first (2^{+}) states and the (B(E2,0^{+}\to 2^{+})) transition probabilities are given. A reasonable agreement with available experimental data is obtained. It is also shown that the mean field picture of those nuclei is strongly modified by the projection. 
R. Rodriguez-Guzman, J. L. Egido and L. M. Robledo (Universidad   Autonoma de Madrid)