Optical-model analysis of N14+12C and C12+12C elastic scattering in the range Ec.m.=35 to 63 MeV

George Delic
Phys. Rev. C 41, 2032 – Published 1 May 1990
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Abstract

Optical-model analyses have been performed with an optical-model code for C12+12C elastic scattering in the center-of-mass energy range Ec.m.=35–63 MeV. A total of 125 parameter sets have been found and a taxonomy of potential families is proposed on the basis of volume integrals and rms radii. To complement this study four parameter sets at Elab=81 and 100 MeV for N14+12C found in a previous report are also discussed. Conventional Woods-Saxon parameters of different real well depth and with either a volume or surface absorption predict the observed differential cross sections at six energies in the C12+12C case. The potentials found form discrete families corresponding to the quantum mechanical requirement for the allowed number of wavelengths of distorted waves in the interior region of the potential. Excitation functions for C12+12C elastic scattering were calculated with these parameters in the center-of-mass energy range Ec.m.=15–95 MeV and four families of potentials of different real well depth predict gross structure at 90° that persists undiminished throughout this energy range. Inspection of the predicted cross-section surface shown as a function of energy and angle revealed important features which are in good qualitative agreement with experiment. Color contour visualizations of such surfaces gave new insights into the regularity of cross-section structures in different angular regions.

  • Received 13 June 1989

DOI:https://doi.org/10.1103/PhysRevC.41.2032

©1990 American Physical Society

Authors & Affiliations

George Delic

  • The Ohio Supercomputer Center, 1224 Kinnear Road, Columbus, Ohio 43212
  • Centre for Nonlinear Studies and Department of Physics, University of the Witwatersrand, P.O. WITS, 2050 Johannesburg, South Africa

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Issue

Vol. 41, Iss. 5 — May 1990

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