New Skyrme interaction parameters for a unified description of the nuclear properties

Abstract

The nucleon microscopic optical potential is obtained by calculating the mass operator of the one-particle Green function with an effective Skyrme interaction. The real and imaginary part potentials for finite nuclei are given by applying a local density approximation as usual, while the spin–orbit potential is further amended by using the Skyrme–Hartree–Fock approach and relativistic mean field results. The new variants of Skyrme interaction parameters are found by simultaneously fitting the characteristics of nuclear matter, the binding energy, charge radius and single-particle energy levels of double closed shell nuclei, the neutron induced reaction cross sections and polarization data. These data include the total cross sections, nonelastic sections, elastic scattering angular distributions and analyzing powers for the target mass range 24 ⩽ A ⩽ 209 with incident neutron energies below 100 MeV. Further, the Landau parameters are considered to describe the properties of an excited state. The obtained variants of Skyrme forces are used to predict the neutron–actinide reactions with incident energies below 100 MeV. It is found that the calculations can give a satisfactory description of the experimental data. Analogous calculations by the new Skyrme forces are performed to predict the proton induced reactions, which also yield reasonable results.

Prospective study on microscopic potential with Gogny interaction

“…In addition, they do not address the issue of the double counting of the uncorrelated second-order diagram. Other approaches aiming at fitting a Skyrme effective interactions including reaction constraints are in progress, where optical potential is approximated as the HF term and the imaginary part of the uncorrelated particle-hole potential neglecting collectivity of target excited states [44,45]. A recent application of NSM with Gogny interaction is presented in Ref.…”

The nucleon microscopic optical potential based on the Skyrme interaction

“…But the GS2 can not well describe the properties of nuclear matter and ground-state of finite nuclei. For a unified description of the nuclear properties, We thus constructed the new conventional Skyrme interaction SkC [5] and extended Skyrme interaction SkC16 which listed in Table 1. They are achieved by simultaneously fitting the nuclear matter properties and ground-state properties of finite nuclei, as well as the neutron-nucleus scattering observables including the total cross sections, nonelastic cross sections, elastic scattering angular distributions and analyzing powers in the mass number range 24 A 209 below 100 MeV.…”

“…If the t 4 and t 5 are zero, the expression of Eq. (7) is the so-called conventional Skyrme interaction [4,5].…”

“…Based on the conventional and extended Skyrme interaction parameters, the real and imaginary parts of nucleon MOP can be achieved and the detailed description can be found in Refs. [4,5].…”

“…The real part of spin-orbit potential obtained by the Skyrme-Hartree-Fock approach is amended by the results of relativistic microscopic optical potential, which is considered the correlation with incident energy [5]. The imaginary part of spin-orbit potential below 100 MeV is usually very small and ignored here.…”