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Microscopic approach to pion-nucleus dynamics

C. M. Chen, D. J. Ernst, and Mikkel B. Johnson
Phys. Rev. C 47, R9(R) – Published 1 January 1993
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Abstract

Elastic scattering of pions from finite nuclei is investigated utilizing a contemporary, momentum-space first-order optical potential combined with microscopic estimates of second-order corrections. The calculation of the first-order potential includes (1) full Fermi-averaging integration including the Δ propagation and the intrinsic nonlocalities in the π-N amplitude, (2) covariant kinematics, (3) invariant amplitudes, and (4) a finite-range off-shell pion-nucleon model which contains the nucleon-pole term. The Δ nucleus interaction is included via the mean spectral-energy approximation. This approach produces a convergent perturbation theory in which the Pauli corrections (treated as a second-order term) cancel remarkably against the pion true-absorption terms. Parameter-free results, including the Δ-nucleus shell-model potential, Pauli corrections, pion true absorption, and short-range correlations, are presented.

  • Received 22 May 1992

DOI:https://doi.org/10.1103/PhysRevC.47.R9

©1993 American Physical Society

Authors & Affiliations

C. M. Chen and D. J. Ernst

  • Center for Theoretical Physics and Physics Department, Texas A&M University, College Station, Texas 77843

Mikkel B. Johnson

  • Los Alamos National Laboratory, Los Alamos, New Mexico 87545

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Vol. 47, Iss. 1 — January 1993

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