Solution of the inverse scattering problem at fixed energy with nonphysical S matrix elements

M. Eberspächer, K. Amos, and B. Apagyi
Phys. Rev. C 61, 064605 – Published 10 May 2000
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Abstract

The quantum mechanical inverse elastic scattering problem is solved with the modified Newton-Sabatier method. A set of S matrix elements calculated from a realistic analytic optical model potential serves as input data. It is demonstrated that the quality of the inversion potential can be improved by including nonphysical S matrix elements to half, quarter, and eighth valued partial waves if the original set does not contain enough information to determine the interaction potential. We demonstrate that results can be very sensitive to the choice of those nonphysical S matrix values both with the analytic potential model and in a real application in which the experimental cross section for the symmetrical scattering system of 12C+12C at E=7.998MeV is analyzed.

  • Received 15 December 1999

DOI:https://doi.org/10.1103/PhysRevC.61.064605

©2000 American Physical Society

Authors & Affiliations

M. Eberspächer1, K. Amos1, and B. Apagyi2

  • 1School of Physics, The University of Melbourne, Parkville, Australia
  • 2Institute of Physics, Technical University, Budapest, Hungary

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Vol. 61, Iss. 6 — June 2000

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