Global study of the spectroscopic properties of the first 2+ state in even-even nuclei
arXiv:nucl-th/0611089 · doi:10.1103/PhysRevC.75.044305
Abstract
We discuss the systematics of the 2+ excitation energy and the transition probability from this 2+ to the ground state for most of the even-even nuclei, from O16 up to the actinides, for which data are available. To that aim we calculate their correlated J=0 ground state and J=2 first excited state by means of the angular-momentum and particle-number projected generator coordinate method, using the axial mass quadrupole moment as the generator coordinate and self-consistent mean-field states only restricted by axial, parity, and time-reversal symmetries. The calculation, which is an extension of a previous systematic calculation of correlations in the ground state, is performed within the framework of a non-relativistic self-consistent mean-field model using the same Skyrme interaction SLy4 and a density-dependent pairing force to generate the mean-field configurations and mix them.
15 pages; 13 figures; Fig. 13 bitmap compressed due to ArXiv size limitation
References in corpus (3)
- Shape coexistence in neutron-deficient Kr isotopes: Constraints on the single-particle spectrum of self-consistent mean-field models from collective excitations
- Self-consistent description of multipole strength: systematic calculations
- Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
Cited by in corpus (21)
- A new Skyrme interaction with improved spin-isospin properties
- Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
- Shape transitions in neutron-rich Yb, Hf, W, Os, and Pt isotopes within a Skyrme Hartree-Fock + BCS approach
- Systematics of the first 2+ excitation with the Gogny interaction
- Symmetry conserving configuration mixing method with cranked states
- E(5) and X(5) shape phase transitions within a Skyrme Hartree-Fock + BCS approach
- Systematics of collective correlation energies from self-consistent mean-field calculations
- Toward global beyond-mean-field calculations of nuclear masses and low-energy spectra
- Ground state octupole correlation energies with effective forces
- Nuclear DFT analysis of electromagnetic moments in odd near doubly magic nuclei
- Neutron-Proton pairing revisited
- Optimization of generator coordinate method with machine-learning techniques for nuclear spectra and neutrinoless double-beta decay: ridge regression for nuclei with axial deformation
- Effective shell model Hamiltonians from density functional theory: quadrupolar and pairing correlations
- Impact of isovector pairing fluctuation on neutrinoless double-beta decay in multi-reference covariant density functional theory
- Universal Expression for the Lowest Excitation Energy of Natural Parity Even Multipole States
- On the robustness of sub-shell closures: A high angular momentum analysis of the titanium isotopes
- N_pN_n dependence of empirical formula for the lowest excitation energy of the 2^+ states in even-even nuclei
- Large-amplitude Qn-Qp collectivity in the neutron-rich oxygen isotope 20O
- Enhanced moments of inertia for rotation in neutron-rich nuclei
- Structure of Krypton Isotopes using the Generalised Bohr Hamiltonian Method
- Empirical formula applied to the lowest excitation energies of the natural parity odd multipole states in even-even nuclei