A symmetry conserving description of odd-nuclei with the Gogny force

Abstract

We present an approach for the calculation of odd-nuclei with exact self-consistent blocking and particle number and angular momentum projection with the finite range density dependent Gogny force. As an application we calculate the nucleus ${}^{31}$Mg at the border of the $N=20$ inversion island. We evaluate the ground state properties, the excited states and the transition probabilities. In general we obtain a good description of the measured observables.

Comments: 8 pages, 4 figures, accepted for publication in Eur. Phys. J. A