Nucleon-nucleus optical potential computed with the Gogny interaction

Abstract

The ability of the Gogny forces of the D1 family to describe the nucleon-nucleus scattering is studied. To this end, we use an optical model (OM) potential built up using a semi-microscopic nuclear matter (NM) approach. The real and imaginary parts of the OM are provided by the first and second-order terms, respectively, of the Taylor expansion of the mass operator calculated within the Brueckner–Hartree–Fock (BHF) method using the reaction G-matrix built up with the effective Gogny force instead of a microscopic interaction. The optical potential in finite nuclei is obtained through the local density approximation (LDA) using the neutron and proton densities provided by a quasi-local Hartree–Fock (HF) calculation with the same Gogny force for the sake of consistency. A reasonable good agreement is found between the theoretical differential cross-sections and the analyzing powers (AP) of the elastic neutron and proton scattering along the periodic table from Ca to Pb calculated with the Gogny forces and the corresponding values predicted by the global phenomenological potential of Koning and Delaroche. To investigate the limits of the approximations used in this work, comparisons with the results of nucleon-nucleus elastic scattering in 40Ca and 48Ca obtained using the nuclear structure model (NSM) are also performed.

Optical potentials for the rare-isotope beam era

“…We mention here also approaches that employ Skyrme [213][214][215][216][217] or Gogny [218] functionals for infinite nuclear matter (see more extensive discussion of such methods in section 3.2.4). The optical potential is then obtained using the local density approximation (LDA) with a consistent density.…”

Dispersive Fraction in Volume and Surface Potential Absorption Integral to the Neutron-99Tc Reaction

“…This gives the insight behavior of the potentials and their parameters as a function of projectile energy E, the atomic mass of the target nuclei A and the nuclear asymmetry𝜉. For volume and surface absorption exists in neutron-nucleus interaction, equation ( 5), the total integrals of the potential satisfy the dispersion relation (6):…”

“…Different empirical formulae for the real and imaginary potentials with their radius and diffuseness have been introduced with their variables dependence, neutron energy (E), nuclear asymmetry ( 𝝃), and atomic mass (A) [1], [4], [5]. These approaches have been achieved to approximate the cross-section calculations to interact with experimental results with minimum accuracy, where the predicting results are difficult to obtain in the laboratory [6], [7].…”

Quasielastic (p, n) reactions described by a microscopic optical model based on the Gogny force

“…Recently we derived a microscopical MOP for describing nucleon-nucleus elastic scattering [1]. Inspired by the JLM model, this MOP was built up within a nuclear matter approach, where the real and imaginary parts of the central potential are given by the first and second-order terms, respectively, of the mass operator, which was calculated with the Brueckner-Hartree-Fock method using a G-matrix computed with the effective Gogny interaction.…”