Systematics of the first 2+ excitation with the Gogny interaction

Abstract

We examine the global performance of an extended self-consistent mean field theory of 2+ excitations in even-even nuclei. 518 nuclei are included in our survey, comprising all but 39 of the known nuclei tabulated by Raman et al. The theory is based on a quantal collective Hamiltonian in five dimensions in which the potential energy and the tensor of inertia are obtained from constrained triaxial Hartree-Fock-Bogoliubov calculations. The only parameters in theory are those of the finite-range, density-dependent Gogny D1S interaction. The following properties of the lowest 2+ excitations are calculated: excitation energy, reduced transition probability, and spectroscopic quadrupole moment. We find that the theory is very reliable to classify the nuclei by shape. Quantitatively the performance of the theory in deformed nuclei is excellent: average excitation energies and transition quadrupole moments are within 5% of the experimental values, and the dispersion about the averages are 20% and 10%, respectively. The performance is not as good on spherical and soft nuclei. Including all nuclei in the performance evaluation, the average transition quadrupole moment is 10% too high and the dispersion about the mean is 20%. For the energies, the average is 13% too high and the dispersion is 40%.

arXiv comment4 pages with 5 figures and 1 table; this version is a resubmission to Phys. Rev. Lett. including changes in response to referee comments

References in corpus (3)

• Microscopic approach of fission dynamics applied to fragment kinetic energy and mass distributions in 238U
• Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
• The Skyrme energy functional and low lying 2+ states in Sn, Cd and Te isotopes

Cited by in corpus (34)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Time-dependent density-functional description of nuclear dynamics
• Mean field and beyond description of nuclear structure with the Gogny force: A review
• Structure properties of ${}^{226}$Th and ${}^{256,258,260}$Fm fission fragments: mean field analysis with the Gogny force
• A microscopic benchmark-study of triaxiality in low-lying states of 76Kr
• Mean field study of structural changes in Pt isotopes with the Gogny interaction
• Microscopic description of fission in Uranium isotopes with the Gogny energy density functional
• Microscopic and non-adiabatic Schrödinger equation derived from the Generator Coordinate Method based on 0 and 2 quasiparticle HFB states
• Nuclear Fission Dynamics: Past, Present, Needs, and Future
• Microscopic description of quadrupole-octupole coupling in Sm and Gd isotopes with the Gogny Energy Density Functional
• Systematics of one-quasiparticle configurations in neutron-rich Sr, Zr, and Mo odd isotopes with the Gogny energy density functional
• Effects of density dependence of the effective pairing interaction on the first $2^{+}$ excitations and quadrupole moments of odd nuclei
• Systematics of collective correlation energies from self-consistent mean-field calculations
• Shape evolution in Yttrium and Niobium neutron-rich isotopes
• Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties
• Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
• Systematic of isovector and isoscalar giant quadrupole resonances in normal and superfluid deformed nuclei
• Testing Skyrme energy-density functionals with the QRPA in low-lying vibrational states of rare-earth nuclei
• Collective inertia of Nambu-Goldstone mode from linear response theory
• Coupling of shape and pairing vibrations in a collective Hamiltonian based on nuclear energy density functionals
• Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions
• Breaking of axial symmetry in excited heavy nuclei as identified in Giant Dipole Resonance data
• Phonon coupling effects in magnetic moments of magic and semi-magic nuclei
• Broken axial symmetry as essential feature to predict radiative capture in heavy nuclei
• Gaussian Overlap Approxomation for the quadrupole collective states
• Microscopic description of quadrupole-hexadecapole coupling in radium, thorium, uranium and plutonium isotopes with the Gogny energy density functional
• Broken axial symmetry as essential feature for a consistent modelling of various observables in heavy nuclei
• Global performance of multireference density functional theory for low-lying states in $sd$-shell nuclei
• Effect of broken axial symmetry on the electric dipole strength and the collective enhancement of level densities in heavy nuclei
• Consequences of broken axial symmetry in heavy nuclei -- an overview of the situation in the valley of stability
• Quadrupole shape dynamics in view from a theory of large amplitude collective motion
• Enhanced moments of inertia for rotation in neutron-rich nuclei
• Structure of Krypton Isotopes using the Generalised Bohr Hamiltonian Method
• Low-lying quadrupole collective states of the light and medium Xenon isotopes