Description of quadrupole collectivity in N ~ 20 nuclei with techniques beyond the mean field

Abstract

Properties of the ground and several collective excited states of the light nuclei ^{30,32,34}Mg are described in the framework of the angular momentum projected Generator Coordinate Method using the quadrupole moment as collective coordinate and the Gogny force as the effective interaction. The calculated excitation energies and B(E2) transition probabilities agree reasonably well with experiment. The results clearly indicate that both the restoration of the rotational symmetry and the quadrupole dynamics are key ingredients for the description of the properties of the above mentioned nuclei.

15 pages, 4 figures, extended version

References in corpus (1)

• Angular momentum projected analysis of Quadrupole Collectivity in \protect(^{30,32,34}Mg\protect) and \protect(^{32,34,36,38}Si\protect) with the Gogny interaction

Cited by in corpus (35)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• The Skyrme Interaction in finite nuclei and nuclear matter
• Evolution of shell structure in exotic nuclei
• Microscopic Theory of Nuclear Fission: A Review
• Correlations beyond the mean field in Magnesium isotopes: Angular momentum projection and configuration mixing
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Global systematics of octupole excitations in even-even nuclei
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Fission half-lives of super-heavy nuclei in a microscopic approach
• Selfconsistent calculations of fission barriers in the Fm region
• Symmetry restoration in mean-field approaches
• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• Three-dimensional angular momentum projection in relativistic mean-field theory
• Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
• Collectivity-induced quenching of signatures for shell closures
• New Gogny interaction suitable for astrophysical applications
• Systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes with the Gogny energy density functional
• The intruder feature of 31Mg and the coexistence of many particle and many hole states
• A Shell Model Description of the Decay Out of the Super-Deformed Band of 36Ar
• Variation after full projection with triaxially deformed nuclear mean field
• Microscopic description of fission in neutron-rich plutonium isotopes with the Gogny-D1M energy density functional
• The Barcelona-Catania-Paris-Madrid functional with a realistic effective mass
• Shape evolution of Zr nuclei and roles of tensor force
• Role of dynamic pairing correlations in fission dynamics
• Non-perturbative collective inertias for fission: a comparative study
• Deformation properties with a finite range simple effective interaction
• Description of the superdeformed band of ${}^{36}$Ar with the Gogny force
• Microscopic description of fission in neutron-rich Radium isotopes with the Gogny energy density functional
• Accuracy of the mean-field theory in describing ground-state properties of light nuclei
• A systematic study of neutron magic nuclei with N = 8, 20, 28, 50, 82, and 126 in the relativistic mean field theory
• Microscopic models for exotic nuclei
• Ab initio nuclear shape coexistence and emergence of island of inversion around $N=20$
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei