How useful is the fixed-scatterer approximation in pion physics?

L. C. Liu and C. M. Shakin
Phys. Rev. C 16, 1963 – Published 1 November 1977
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Abstract

We compare detailed dynamical calculations of pion-He4 elastic scattering with calculations carried out in the fixed-scatterer approximation. We consider pion (laboratory) energies of 51 to 260 MeV. The dynamical calculations are (essentially) parameter free and provide an excellent fit to the data. It is shown that by introducing an energy shift parameter into the fixed-scatterer approximation calculations it is possible to obtain good agreement with the data at low energies. At the higher energies (180-260 MeV) the quality of the (energy shifted) fixed-scatterer approximation fits to the data become systematically worse, with good agreement only at small angles. These results indicate that the use of a single parameter (an energy shift) in the fixed-scatterer approximation calculations is unable to simulate the effects of nuclear binding and Fermi motion. These effects are treated in detail in the dynamical calculations.

NUCLEAR REACTIONS Pion-helium elastic scattering (50-260 MeV), fixed-scatterer approximation, role of Fermi motion.

  • Received 8 July 1977

DOI:https://doi.org/10.1103/PhysRevC.16.1963

©1977 American Physical Society

Authors & Affiliations

L. C. Liu and C. M. Shakin

  • Department of Physics and Institute of Nuclear Theory, Brooklyn College of The City University of New York, Brooklyn, New York 11210

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Issue

Vol. 16, Iss. 5 — November 1977

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