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Title: Local representation of the exchange nonlocality in {ital n}-{sup 16}O scattering

Abstract

The nonlocal Schroedinger equation is solved rigorously in a microscopic folding model, incorporating both direct and knock-on exchange potentials, for {ital n}-{sup 16}O scattering at laboratory energies of 20 and 50 MeV. The model uses the complex and density dependent {ital n}-{ital n} interaction of N. Yamaguchi {ital et} {ital al}. uses harmonic oscillator wave functions for the bound nucleons, and calculates the scattering wave function for this nonlocal problem using a Bessel-Sturmian expansion method incorporating correct boundary conditions. All spins are neglected. The local phase-equivalent potential is obtained from the scattering matrix elements at a given energy by using the iterative perturbative inversion method. This representation allows comparison between the microscopic model and a phenomenological potential, showing good agreement for the local real part of the potential at 20 MeV. From the ratio of the wave functions for the nonlocal potential and for the potential calculated by inversion, a Perey damping factor (PDF) is obtained which is of similar form to the well-known Perey-Buck prescription for the PDF for a Gaussian nonlocality of the conventional range of 0.85 fm. The significance of these results for distorted wave Born approximation calculations is discussed.

Authors:
;  [1]; ;  [2]
  1. Physics Department, University of Connecticut, Storrs, Connecticut 06269 (United States)
  2. Physics Department, The Open University, Milton Keynes (United Kingdom)
Publication Date:
OSTI Identifier:
142683
Resource Type:
Journal Article
Journal Name:
Physical Review, C
Additional Journal Information:
Journal Volume: 49; Journal Issue: 3; Other Information: PBD: Mar 1994
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; OXYGEN 16 TARGET; NEUTRON REACTIONS; DIRECT REACTIONS; KNOCK-ON REACTIONS; SCHROEDINGER EQUATION; DAMPING; NONLOCAL POTENTIAL; FOLDING MODEL; MEV RANGE 10-100; NUCLEON-NUCLEON INTERACTIONS; DWBA; WAVE FUNCTIONS; HARMONIC OSCILLATORS

Citation Formats

Rawitscher, G H, Lukaszek, D, Mackintosh, R S, and Cooper, S G. Local representation of the exchange nonlocality in {ital n}-{sup 16}O scattering. United States: N. p., 1994. Web. doi:10.1103/PhysRevC.49.1621.
Rawitscher, G H, Lukaszek, D, Mackintosh, R S, & Cooper, S G. Local representation of the exchange nonlocality in {ital n}-{sup 16}O scattering. United States. doi:10.1103/PhysRevC.49.1621.
Rawitscher, G H, Lukaszek, D, Mackintosh, R S, and Cooper, S G. Tue . "Local representation of the exchange nonlocality in {ital n}-{sup 16}O scattering". United States. doi:10.1103/PhysRevC.49.1621.
@article{osti_142683,
title = {Local representation of the exchange nonlocality in {ital n}-{sup 16}O scattering},
author = {Rawitscher, G H and Lukaszek, D and Mackintosh, R S and Cooper, S G},
abstractNote = {The nonlocal Schroedinger equation is solved rigorously in a microscopic folding model, incorporating both direct and knock-on exchange potentials, for {ital n}-{sup 16}O scattering at laboratory energies of 20 and 50 MeV. The model uses the complex and density dependent {ital n}-{ital n} interaction of N. Yamaguchi {ital et} {ital al}. uses harmonic oscillator wave functions for the bound nucleons, and calculates the scattering wave function for this nonlocal problem using a Bessel-Sturmian expansion method incorporating correct boundary conditions. All spins are neglected. The local phase-equivalent potential is obtained from the scattering matrix elements at a given energy by using the iterative perturbative inversion method. This representation allows comparison between the microscopic model and a phenomenological potential, showing good agreement for the local real part of the potential at 20 MeV. From the ratio of the wave functions for the nonlocal potential and for the potential calculated by inversion, a Perey damping factor (PDF) is obtained which is of similar form to the well-known Perey-Buck prescription for the PDF for a Gaussian nonlocality of the conventional range of 0.85 fm. The significance of these results for distorted wave Born approximation calculations is discussed.},
doi = {10.1103/PhysRevC.49.1621},
journal = {Physical Review, C},
number = 3,
volume = 49,
place = {United States},
year = {1994},
month = {3}
}