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The variational multiparticle-multihole configuration mixing approach (MPMH)to nuclei has been proposed about a decade ago. While the first applicationsfollowed rapidly, the implementation of the full formalism of this method hasonly been recently completed and applied in [C. Robin, N. Pillet, D. Pe\~naArteaga and J.-F. Berger, Phys. Rev. C 93, 024302 (2016)] to $^{12}$C as atest-case. The main objective of the present paper is to carry on the studythat was initiated in that reference, in order to put the MPMH method to morestringent tests. To that aim we perform a systematic study of even-evensd-shell nuclei. The wave function of these nuclei is taken as a configurationmixing built on orbitals of the sd-shell, and both the mixing coefficients ofthe nuclear state and the single-particle wave functions are determinedconsistently from the same variational principle. The calculations are doneusing the D1S Gogny force. Various ground-state properties are analyzed. Inparticular, the correlation content and composition of the wave function aswell as the single-particle orbitals and energies are examined. Bindingenergies and charge radii are also calculated and compared to experiment. Thedescription of the first excited state is also examined and the correspondingtransition densities are used as input for the calculation of inelasticelectron and proton scattering. Special attention is paid to the effect of theoptimization of the single-particle states consistently with the correlationsof the system. Globally, the results are satisfying and encouraging. Inparticular, charge radii and excitation energies are nicely reproduced.However, the chosen valence-space truncation scheme precludes achieving maximumcollectivity in the studied nuclei. Further refinement of the method and abetter-suited interaction are necessary to remedy this situation.

physical review. c

Description of nuclear systems with a self-consistent  configuration-mixing approach. II: Application to structure and reactions in  even-even sd-shell nuclei