Eur. Phys. J. A (2016) 52: 277
https://doi.org/10.1140/epja/i2016-16277-8

Regular Article - Theoretical Physics

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

Particle number and angular-momentum projection with self-consistent blocking

Departamento de Física Teórica, Universidad Autónoma de Madrid, E-28049, Madrid, Spain

^* e-mail: j.luis.egido@uam.es

Received: 12 May 2016
Accepted: 28 July 2016
Published online: 13 September 2016

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 ³¹Mg 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.