Beyond Mean-Field Calculations for Odd-A 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 Hatree-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 25Mg 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.

5 pages, 3 figures

References in corpus (5)

• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Particle-Number Projection and the Density Functional Theory
• Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
• Properties of odd nuclei and the impact of time-odd mean fields: A systematic Skyrme-Hartree-Fock analysis
• Hartree-Fock-Bogoliubov Theory of Polarized Fermi Systems

Cited by in corpus (11)

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• Microscopic particle-rotor model for low-lying spectrum of Lambda hypernuclei
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Shape transitions in odd-mass $\gamma$-soft nuclei within the interacting boson-fermion model based on the Gogny energy density functional
• Simple regularization scheme for multi-reference density functional theories
• Role of deformation in odd-even staggering in reaction cross sections for ${}^{30,31,32}$Ne and ${}^{36,37,38}$Mg isotopes
• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei
• Changes in rotational characters of one- and two-phonon $\gamma$-vibrational bands in ${}^{105}$Mo