Assessment of effect of local approximation on single folding potential at low and intermediate incident energies

Abstract

To the single folding potentials (SFPs) for the nucleon-nucleus ($N$-$A$) elastic scatterings, local approximations (LAs) have customarily been applied. The LA discussed by Brieva and Rook has been well-known, which only needs the density profile as the structure information of the target nucleus. By applying the M3Y-P6 interaction both to the target wave functions and the real part of SFP, supplemented with the Koning-Delaroche phenomenological imaginary potential, the precision of the Brieva-Rook LA on the SFP is investigated for the proton-nucleus elastic scatterings at ${\epsilon }_p=16-80\mathrm{MeV}$ incident energies. The analyzing powers as well as the differential cross sections are in reasonable agreement with the available data. The precision of the LA for the central and LS channels is distinctly examined. Although the LA works well at small angles (${\theta }_{c.m.}\lesssim 30^{\circ }$), it gives rise to sizable deviation from the results of the non-local SFP (\textit{i.e.}, without the LA) at larger angles. The results of the non-local SFP are always in better agreement with the data. The LA for the LS channel influences the differential cross-sections, and the LA for the central channel does the spin observables. It is found that the precision of the LA well correlates to the momentum transfer $q$, and the discrepancy becomes sizable at $q\gtrsim 1.5{\mathrm{fm}}^{-1}$. The LA is also examined for a halo nucleus, by taking ${}^{86}$Ni as an example. The precision is slightly worse than in stable nuclei. Difference from the prediction of the empirical potential in the observables of the $p$-${}^{86}$Ni scattering is discussed.

arXiv comment19 pages, 7 figures

References in corpus (18)

• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials,
• Isospin Dependence of the Spin-Orbit Force and Effective Nuclear Potentials
• Hartree-Fock approach to nuclear matter and finite nuclei with M3Y-type nucleon-nucleon interactions
• Microscopic optical potential from chiral nuclear forces
• Microscopic positive-energy potential based on Gogny interaction
• Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties
• Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei
• Irregularities in nuclear radii at magic numbers
• Theoretical Optical Potential Derived From Nucleon-Nucleon Chiral Potentials
• Further evidence for three-nucleon spin-orbit interaction in isotope shifts of $Z=\mathrm{magic}$ nuclei
• Predicting magic numbers of nuclei with semi-realistic nucleon-nucleon interactions
• Self-consistent microscopic description of neutron scattering by ${}^{16}$O based on the continuum particle-vibration coupling method
• Shell structure in neutron-rich Ca and Ni nuclei under semi-realistic mean fields
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• The Negele-Vautherin density matrix expansion applied to the Gogny force
• Rearrangement term in the nonlocal folding model of the nucleon optical potential
• Exposing minimal composition of Kohn-Sham theory and its extendability
• Self-consistent single-nucleon potential at positive energy produced by semi-realistic interaction and its examination via nucleon-nucleus elastic scattering