Gh. Rawitscher et al., LOCAL REPRESENTATION OF THE EXCHANGE NONLOCALITY IN N-O-16 SCATTERING, Physical review. C. Nuclear physics, 49(3), 1994, pp. 1621-1629
The nonlocal Schrodinger equation is solved rigorously in a microscopi
c folding model, incorporating both direct and knock-on exchange poten
tials, for n-O-16 scattering at laboratory energies of 20 and 50 MeV.
The model uses the complex and density dependent n-n interaction of N.
Yamaguchi et al., uses harmonic oscillator wave functions for the bou
nd nucleons, and calculates the scattering wave function for this nonl
ocal problem using a Bessel-Sturmian expansion method incorporating co
rrect boundary conditions. All spins are neglected. The local phase-eq
uivalent potential is obtained from the scattering matrix elements at
a given energy by using the iterative perturbative inversion method. T
his representation allows comparison between the microscopic model and
a phenomenological potential, showing good agreement for the local re
al part of the potential at 20 MeV. From the ratio of the wave functio
ns for the nonlocal potential and for the potential calculated by inve
rsion, a Perey damping factor (PDF) is obtained which is of similar fo
rm to the well-known Perey-Buck prescription for the PDF for a Gaussia
n nonlocality of the conventional range of 0.85 fm. The significance o
f these results for distorted wave Born approximation calculations is
discussed.