title: Beyond mean-field calculations for odd-mass nuclei.
abstract: Beyond mean-field methods are very successful tools for the description of large-amplitude collective motion for even-even atomic nuclei. The state-of-the-art framework of these methods consists in a generator coordinate method based on angular-momentum and particle-number projected triaxially deformed Hartree-Fock-Bogoliubov (HFB) states. The extension of this scheme to odd-mass nuclei is a long-standing challenge. We present for the first time such an extension, where the generator coordinate space is built from self-consistently blocked one-quasiparticle HFB states. One of the key points for this success is that the same Skyrme interaction is used for the mean-field and the pairing channels, thus avoiding problems related to the violation of the Pauli principle. An application to ^{25}Mg illustrates the power of our method, as agreement with experiment is obtained for the spectrum, electromagnetic moments, and transition strengths, for both positive and negative parity states and without the necessity for effective charges or effective moments. Although the effective interaction still requires improvement, our study opens the way to systematically describe odd-A nuclei throughout the nuclear chart.
authors.affiliation: Université de Bordeaux, Centre d'Etudes Nucléaires de Bordeaux Gradignan, Chemin du Solarium, BP120, F-33175 Gradignan, France and CNRS/IN2P3, Centre d'Etudes Nucléaires de Bordeaux Gradignan, Chemin du Solarium, BP120, F-33175 Gradignan, France.
authors.forename: B
authors.initials: B
authors.lastname: Bally
authors.affiliation: Université de Bordeaux, Centre d'Etudes Nucléaires de Bordeaux Gradignan, Chemin du Solarium, BP120, F-33175 Gradignan, France and CNRS/IN2P3, Centre d'Etudes Nucléaires de Bordeaux Gradignan, Chemin du Solarium, BP120, F-33175 Gradignan, France.
authors.forename: B
authors.initials: B
authors.lastname: Avez
authors.affiliation: Université de Bordeaux, Centre d'Etudes Nucléaires de Bordeaux Gradignan, Chemin du Solarium, BP120, F-33175 Gradignan, France and CNRS/IN2P3, Centre d'Etudes Nucléaires de Bordeaux Gradignan, Chemin du Solarium, BP120, F-33175 Gradignan, France.
authors.forename: M
authors.initials: M
authors.lastname: Bender
authors.affiliation: PNTPM, CP229, Université Libre de Bruxelles, B-1050 Bruxelles, Belgium.
authors.forename: P-H
authors.initials: PH
authors.lastname: Heenen