Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra

Abstract

Self-consistent mean field (MF) and beyond-mean-field (BMF) calculations of masses, separation energies and $2_1^{+}$ excitation energies of even-even nuclei where experimental data is available are presented. The functionals used are based on the Gogny D1S and D1M parametrizations and the method includes beyond-mean-field corrections coming from both axial quadrupole shape mixing and symmetry restorations without assuming gaussian overlap approximations. A comparison between mean field, beyond-mean-field approaches and the experimental data is provided. Additionally, the convergence of the results and the possible reduction of the magic shell gaps by including BMF effects are also discussed.

arXiv comment19 pages, 17 figures

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Cited by in corpus (27)

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• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Symmetry restoration in mean-field approaches
• Symmetry conserving configuration mixing method with cranked states
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• Numerical accuracy of mean-field calculations in coordinate space
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• Global calculations on the microscopic energies and nuclear deformations: Isospin dependence of the spin-orbit coupling
• Chiral geometry and rotational structure for ${}^{130}$Cs in the projected shell model
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• Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods
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• Systematic study of infrared energy corrections in truncated oscillator spaces
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• Symmetry restoration methods
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• On the robustness of sub-shell closures: A high angular momentum analysis of the titanium isotopes
• Benchmarking rotational correction energies in odd-mass nuclei
• Extending the low-$Z$ "border'' of the $A=100$ region of deformation with precision mass spectrometry of ${}^{96-98}$Kr