Low-Energy Neutron-Oxygen Scattering Derived from Two-Body Forces

Alan D. MacKellar, J. F. Reading, and A. K. Kerman
Phys. Rev. C 3, 460 – Published 1 February 1971
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Abstract

Low-energy nO16 elastic scattering phase shifts are calculated from potential matrix elements using nuclear-reaction theory. As in bound-state calculations, it is found to be essential to include second-order contributions. When this is done the theoretical calculations which contain essentially no adjustable parameters reproduce the experimental phase shifts reasonably well, the disagreement between theory and experiment being generally no larger than the spread in the theoretical results produced by different two-body forces. A nonlocality of the optical potential arises naturally out of the calculation. We are able to see the effect of this by comparing the internal wave function to that obtained using a Woods-Saxon well with parameters adjusted to give the same phase shift, i.e., we can investigate the Perey effect. The scattering wave function is found to be about 30 to 50% smaller in the potential region than the corresponding wave function calculated from the Woods-Saxon well.

  • Received 1 October 1970

DOI:https://doi.org/10.1103/PhysRevC.3.460

©1971 American Physical Society

Authors & Affiliations

Alan D. MacKellar*

  • Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506

J. F. Reading*,†

  • Department of Physics, Northeastern University, Boston, Massachusetts 02115

A. K. Kerman

  • Department of Physics and Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

  • *This work was initiated during the academic year 1965-1966 while two of the authors (ADM and JFR) were post-doctoral fellows at the Massachusetts Institute of Technology.
  • Supported in part by the National Science Foundation Grant No. GP12286.
  • Research sponsored by the U. S. Atomic Energy Commission under Contract No. AT(30-1)2098.

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Issue

Vol. 3, Iss. 2 — February 1971

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