Deformation properties with a finite range simple effective interaction

Abstract

Deformed and spherical even-even nuclei are studied using a finite range simple effective interaction within the Hartree-Fock-Bogoliubov mean field approach. Different parameter sets of the interaction, corresponding to different incompressibility, are constructed by varying the exponent gamma of the density in the traditional density-dependent term. Ten of the twelve parameters of these interactions are determined from properties of asymmetric nuclear matter and spin polarized pure neutron matter. The two remaining parameters are fitted to reproduce the experimental binding energies known in 620 even-even nuclei using several variants of the rotational energy correction. The rms deviations for the binding energy depend on the value of gamma and the way the rotational energy correction is treated but they can be as low as 1.56 MeV, a value competitive with other renowned effective interactions of Skyrme and Gogny type. Charge radii are compared to the experimental values of 313 even-even nuclei and the rms deviation is again comparable and even superior to the one of popular Skyrme and Gogny forces. Emphasis is given to the deformation properties predicted with these interactions by analyzing the Potential Energy Surfaces for several well deformed nuclei and the fission barriers of some nuclei. Comparison of the results with the experimental information, where available, as well as with the results of the Gogny D1S force shows satisfactory agreement.

20 pages, 6 figures

References in corpus (8)

• Fission barriers and probabilities of spontaneous fission for elements with Z$\ge$100
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Application of the gradient method to Hartree-Fock-Bogoliubov theory
• Temperature effects on the nuclear symmetry energy and symmetry free energy with an isospin and momentum dependent interaction
• Microscopic linear response calculations based on the Skyrme functional plus the pairing contribution
• Ground state octupole correlation energies with effective forces
• Benchmarking Nuclear Fission Theory
• Study of spin polarized nuclear matter and finite nuclei with finite range simple effective interaction

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• Correlations between charge radii differences of mirror nuclei and stellar observables
• Influence of the nuclear matter equation of state on the r-mode instability using the finite-range simple effective interaction
• The N=50 and Z=28 shell closure revisited
• Woods-Saxon-type of mean-field potentials with effective mass derived from the D1S Gogny force
• The finite range simple effective interaction including tensor terms
• Neutron star crustal properties from relativistic mean-field models and bulk parameters effects
• Microscopic-Macroscopic Approach for Ground-State Energies Based on the Gogny Force with the Wigner-Kirkwood Averaging Scheme
• Analysis of critical parameters for nonrelativistic models in symmetric nuclear matter