Symmetry Conserving Configuration Mixing description of odd mass nuclei

Abstract

We present a self-consistent theory for the description of the spectroscopic properties of odd nuclei which includes exact blocking, particle-number and angular-momentum projection and configuration mixing. In our theory the pairing correlations are treated in a variation-after-projection approach and the triaxial deformation parameters are explicitly considered as generator coordinates. The angular-momentum and particle-number symmetries are exactly recovered. The use of the effective finite-range density-dependent Gogny force in the calculations provides an added value to the theoretical results. We apply the theory to the textbook example of 25Mg and, although this nucleus has been thoroughly studied in the past, we still provide a novel view of nuclear phenomena taking place in this nucleus. We obtain an overall good agreement with the known experimental energies and transition probabilities without any additional parameter such as effective charges. In particular, we clearly identify six bands, two of which we interpret as collective gamma bands.

arXiv comment12 pages, 10 figures, accepted for publication in Phys. Rev. C

References in corpus (20)

• Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
• Correlations beyond the mean field in Magnesium isotopes: Angular momentum projection and configuration mixing
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
• Particle number projection with effective forces
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Shape and pairing fluctuations effects on neutrinoless double beta decay nuclear matrix elements
• Beyond Mean-Field Calculations for Odd-A Nuclei
• Three-dimensional angular momentum projection in relativistic mean-field theory
• Coulomb exchange and pairing contributions in nuclear Hartree-Fock-Bogoliubov calculations with the Gogny force
• State-of-the-art of beyond mean field theories with nuclear density functionals
• Symmetry conserving configuration mixing method with cranked states
• Collective and Single-particle Motion in Beyond Mean Field Approaches
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Large amplitude pairing fluctuations in atomic nuclei
• Ground-state properties of even and odd Magnesium isotopes in a symmetry-conserving approach
• Triaxial shape fluctuations and quasiparticle excitations in heavy nuclei
• The Triaxial Rotation Vibration Model in the Xe-Ba Region
• Shape vibrations and quasiparticle excitations in the lowest 0+ excited state of the Erbium isotopes

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• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
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• Microscopic core-quasiparticle coupling model for spectroscopy of odd-mass nuclei with octupole correlations
• Symmetry-projected variational calculations with the numerical suite TAURUS I. Variation after particle-number projection
• Neutrinoless double-$\beta$ decay of ${}^{124}$Sn, ${}^{130}$Te, and ${}^{136}$Xe in the Hamiltonian-based generator-coordinate method
• Variational approximations to exact solutions in shell-model valence spaces: systematic calculations in the $sd$-shell
• Shape and multiple shape coexistence of nuclei within covariant density functional theory
• Multireference covariant density-functional theory for the low-lying states of odd-mass nuclei
• Quantum-number projected generator coordinate method for ${}^{21}$Ne with a chiral two-nucleon-plus-three-nucleon interaction
• Multipole responses in fissioning nuclei and their uncertainties
• On the robustness of sub-shell closures: A high angular momentum analysis of the titanium isotopes