Klein-Gordon versus relativistic Schrödinger equations in pion-nucleus scattering

R. J. McLeod
Phys. Rev. C 49, 3346 – Published 1 June 1994
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Abstract

The relativistic Schrödinger equation and the Klein-Gordon equation for an optical potential for pion scattering are investigated in the resonance energy region and at higher energies. Previous calculations showed that the two equations give nearly the same results with the difference decreasing with increasing energy. We find a substantial difference between the two approaches for π+ on Ca40 at 180 MeV. This difference persists even at 500 MeV. The difference is partly due to the different off-shell behaviors and partly due to the different propagators used. At small angles in the resonance region, the difference can be understood as an energy shift at which the two-body t matrix is evaluated or as a different range of the two-body interaction.

  • Received 10 December 1993

DOI:https://doi.org/10.1103/PhysRevC.49.3346

©1994 American Physical Society

Authors & Affiliations

R. J. McLeod

  • School of Physical Sciences, The Flinders University of South Australia, Bedford Park, SA, 5042, Australia

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Vol. 49, Iss. 6 — June 1994

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