Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction

Journal Article · Fri Jan 15 00:00:00 EST 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.81.014303· OSTI ID:21388856

Delaroche, J -P; Girod, M; Goutte, H; Hilaire, S; Peru, S; Pillet, N ^[1]; Libert, J ^[2]; Bertsch, G F ^[3]

---

1. CEA, DAM, DIF, F-91297 Arpajon (France)
2. Institut de Physique Nucleaire IN2P3-CNRS/Universite Paris-Sud, 91406 Orsay Cedex (France)
3. Department of Physics and Institute of Nuclear Theory, Box 351560, University of Washington Seattle, Washington 98915 (United States)

A systematic study of low energy nuclear structure at normal deformation is carried out using the Hartree-Fock-Bogoliubov theory extended by the generator coordinate method and mapped onto a five-dimensional collective quadrupole Hamiltonian. Results obtained with the Gogny D1S interaction are presented from drip line to drip line for even-even nuclei with proton numbers Z=10 to Z=110 and neutron numbers N<=200. The properties calculated for the ground states are their charge radii, two-particle separation energies, correlation energies, and the intrinsic quadrupole shape parameters. For the excited spectroscopy, the observables calculated are the excitation energies and quadrupole as well as monopole transition matrix elements. We examine in this work the yrast levels up to J=6, the lowest excited 0{sup +} states, and the two next yrare 2{sup +} states. The theory is applicable to more than 90% of the nuclei that have tabulated measurements. We assess its accuracy by comparison with experiments on all applicable nuclei where the systematic tabulations of the data are available. We find that the predicted radii have an accuracy of 0.6%, much better than can be achieved with a smooth phenomenological description. The correlation energy obtained from the collective Hamiltonian gives a significant improvement to the accuracy of the two-particle separation energies and to their differences, the two-particle gaps. Many of the properties depend strongly on the intrinsic deformation and we find that the theory is especially reliable for strongly deformed nuclei. The distribution of values of the collective structure indicator R{sub 42}=E(4{sub 1}{sup +})/E(2{sub 1}{sup +}) has a very sharp peak at the value 10/3, in agreement with the existing data. On average, the predicted excitation energy and transition strength of the first 2{sup +} excitation are 12% and 22% higher than experiment, respectively, with variances of the order of 40-50%. The theory gives a good qualitative account of the range of variation of the excitation energy of the first excited 0{sup +} state, but the predicted energies are systematically 50% high. The calculated yrare 2{sup +} states show a clear separation between gamma and beta excitations, and the energies of the 2{sup +} gamma vibrations accord well with experiment. The character of the 0{sub 2}{sup +} state is interpreted as shape coexistence or beta-vibrational excitations on the basis of relative quadrupole transition strengths. Bands are predicted with the properties of beta vibrations for many nuclei having R{sub 42} values corresponding to axial rotors, but the shape coexistence phenomenon is more prevalent. The data set of the calculated properties of 1712 even-even nuclei, including spectroscopic properties for 1693 of them, are provided in CEA Web site and EPAPS repository with this article.

• OSTI ID: 21388856
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 81, Issue 1; Other Information: DOI: 10.1103/PhysRevC.81.014303; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
BINDING ENERGY
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
DEFORMATION
DEFORMED NUCLEI
DISTRIBUTION
ELECTRON CORRELATION
EVEN-EVEN NUCLEI
EXCITATION
GENERATOR-COORDINATE METHOD
GROUND STATES
HAMILTONIANS
HARTREE-FOCK-BOGOLYUBOV THEORY
INTERACTIONS
MATRIX ELEMENTS
NEUTRONS
NUCLEAR STRUCTURE
PROTONS
SPECTROSCOPY
YRAST STATES
BARYONS
CALCULATION METHODS
CORRELATIONS
ELEMENTARY PARTICLES
ENERGY
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
EVALUATION
FERMIONS
HADRONS
MATHEMATICAL OPERATORS
NUCLEI
NUCLEONS
QUANTUM OPERATORS
SIMULATION