Field theoretic treatment of π-nuclear scattering

Gerald A. Miller
Phys. Rev. C 16, 2325 – Published 1 December 1977
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Abstract

The dynamical assumption that single mesons are emitted or absorbed by nucleons is applied to π-nucleus scattering and leads to a π-nucleus Low equation. With the neglect of multinucleon currents and true meson absorption, the π-nucleus Low equation is shown to be equivalent to a linear equation of the same form as in standard theories except for a striking propagator modification arising from the energy dependence of the driving term. The use of a corresponding linear equation for π-nucleon scattering enables us to derive a field-theoretic multiple-scattering series. It is found that the propagator modification eliminates the Kisslinger singularity, reduces the Lorentz-Lorenz effect and local field corrections. The effect of true meson absorption on π-nucleus elastic scattering is also examined and found to be somewhat important at low (∼50 MeV) energies but negligible (due to strong first-order optical absorption) for energies greater than 100 MeV.

NUCLEAR REACTIONS Scattering theory, π-nucleon scattering, πO16 scattering, E=50275 MeV.

  • Received 8 April 1977

DOI:https://doi.org/10.1103/PhysRevC.16.2325

©1977 American Physical Society

Authors & Affiliations

Gerald A. Miller

  • Department of Physics, University of Washington, Seattle, Washington 98195

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Issue

Vol. 16, Iss. 6 — December 1977

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