https://doi.org/10.1140/epja/i2014-14181-y
Regular Article - Theoretical Physics
Assessing the accuracy of Hartree-Fock-Bogoliubov calculations by use of mass relations
Department of Physics and Astronomy, Aarhus University, DK-8000, Aarhus C, Denmark
* e-mail: dennish@phys.au.dk
Received:
11
October
2014
Revised:
20
November
2014
Accepted:
23
November
2014
Published online:
12
December
2014
The accuracy of three different sets of Hartree-Fock-Bogoliubov calculations of nuclear binding energies is systematically evaluated. To emphasize minor fluctuations, a second-order, four-point mass relation, which almost completely eliminates smooth aspects of the binding energy, is introduced. Applying this mass relation yields more scattered results for the calculated binding energies. By examining the Gaussian distributions of the non-smooth aspects which remain, structural differences can be detected between measured and calculated binding energies. Substructures in regions of rapidly changing deformation, specifically around (N, Z) = (60, 40) and (90, 60), are clearly seen for the measured values, but are missing from the calculations. A similar three-point mass relation is used to emphasize odd-even effects. A clear decrease with neutron excess is seen continuing outside the experimentally known region for the calculations.
© SIF, Springer-Verlag Berlin Heidelberg, 2014