In this work, we propose a new description of nuclear spectroscopy based on the analysis of a rather complete set of observables, using the multiparticle-multihole configuration mixing and the D1S Gogny interaction. The application to the even-even $sd$-shell nuclei, for both ground and 0${}_2^{+}$, 1${}_1^{+}$, 2${}_1^{+}$, 2${}_2^{+}$, 3${}_1^{+}$, 3${}_2^{+}$, 4${}_1^{+}$ excited states, clearly shows the pertinence of this approach. The standard deviation to experiment is $\sim$500 keV for two-nucleon separation energies and $\sim$400 keV for excitation energies. The calculated magnetic dipole moments and $B\left(M1\right)$ transition probabilities are in a very good agreement with experiment. Concerning the spectroscopic quadrupole moments and $B\left(E2\right)$ transition probabilities, the experimental trends are systematically reproduced. Only a lack of quadrupole collectivity appears. A solution to improve this expected defect is suggested.

• Received 1 August 2013

DOI:https://doi.org/10.1103/PhysRevC.89.011306