Invariant potential for elastic pion-nucleus scattering

J. Barry Cammarata and Manoj K. Banerjee
Phys. Rev. C 13, 299 – Published 1 January 1976
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Abstract

From the Wick-Dyson expansion of the exact propagator of a pion in the presence of a nucleus, an invariant potential for crossing symmetric elastic pion-nucleus scattering is obtained in terms of a series of pion-nucleon diagrams. The Chew-Low theory is used to develop a model in which the most important class of diagrams is effectively summed. Included in this model is the exclusion principle restriction on the pion-bound nucleon interaction, the effects of the binding of nucleons, a kinematic transformation of energy from the lab to the πN center of mass frame, and the Fermi motion and recoil of the target nucleons. From a numerical study of the effects of these processes on the πC12 total cross section, the relative importance of each is determined. Other processes contributing to the elastic scattering of pions not included in the present model are also discussed.

NUCLEAR REACTIONS Many-body approach to an invariant potential for crossing symmetric, elastic pion-nucleus scattering. C12(π,π), Eπ in (3,3) resonance region; calculated σ(E) showing effects of nuclear corrections to Chew-Low description of πN interaction.

  • Received 27 May 1975

DOI:https://doi.org/10.1103/PhysRevC.13.299

©1976 American Physical Society

Authors & Affiliations

J. Barry Cammarata

  • Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
  • Institute of Theoretical Physics, Department of Physics, Stanford University, Stanford, California 94305

Manoj K. Banerjee

  • Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742

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Issue

Vol. 13, Iss. 1 — January 1976

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