First Gogny-Hartree-Fock-Bogoliubov Nuclear Mass Model

Abstract

We present the first Gogny-Hartree-Fock-Bogoliubov (HFB) model which reproduces nuclear masses with an accuracy comparable with the best mass formulas. In contrast with the Skyrme-HFB nuclear-mass models, an explicit and self-consistent account of all the quadrupole correlation energies are included within the 5D collective Hamiltonian approach. The final rms deviation with respect to the 2149 measured masses is 798 keV. In addition, the new Gogny force is shown to predict nuclear and neutron matter properties in agreement with microscopic calculations based on realistic two- and three-body forces.

Interplay between tensor force and deformation in even–even nuclei

“…Besides, since the tensor force may modify considerably the single particle energies, all the nuclear structure properties can be affected. One of the main weaknesses of the D1S parameterization is its disability to correctly reproduce the binding energies all over the nuclide chart, resulting in particular to the release of the D1M parameterization [42]. The present study shows that with the tensor inclusion some medium mass nuclei can become more bound for several MeV at the mean field level and completely change their ground state deformation.…”

“…The shape coexistence is analyzed for some N = 28 neutron-rich isotones in [33]. It is shown that whereas the tensor force does not change the ground state the shape coexistence between prolate and oblate states vanishes for 42 Si and 44 S. In the paper by Zalewski et al [27] the contribution of the isovector and isoscalar tensor terms to the binding energy is depicted over the mass table. The impact of two Skyrme functionals on the superdeformed band heads is tested.…”

Tensor interaction in mean-field and density functional theory approaches to nuclear structure

“…We do not dispose yet of such studies in which we can compare e.g. the results of D1M (the Gogny set which is the best suited for masses [60]), and an analogous study by including the tensor. As we have discussed in Sec.…”

“…In this work, selfconsistent RPA calculations have been performed. A tensor force of the type (49) has been added to the forces D1S [47] and D1M [60]. In both cases, the parameter b of Eq.…”

Remarks on the use of projected densities in the density-dependent part of Skyrme or Gogny functionals

“…As a consequence of the mismatch of the different factors, the integrand corresponding to the "projected density" prescription is slightly reduced as compared to the integrand with the intrinsic density in the density dependent term. As a consequence, the value of the integral is also reduced producing a reduction of the (repulsive) density dependent energy that is magnified by the large values of the density dependent strength parameter t 3 ( 1562.22 MeV fm 4 , 1609.46 MeV fm 4 and 1350.0 MeV fm 4 for Gogny D1M [26], D1N [25] and D1S [23], respectively).…”