Elastic Scattering of Pions on O16 near the (3-3) - Resonance Energy: A Self-Consistent Calculation

Don Philip Engelberg
Phys. Rev. C 6, 1620 – Published 1 November 1972
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Abstract

An optical potential for elastic scattering of mesons on a nucleus is developed theoretically which is self-consistent at all distances from the center of the nucleus. Application is made to the case of scattering of pions on O16 in the (3-3)-resonance energy region for the Fermigas model and the shell model of the nucleus. Pair correlations are included. Energy-dependent empirically fitted parameters are used as inputs for the pion-nucleon interaction. For the shell model a downward energy shift of 30-45 MeV, as well as considerable broadening, is predicted for the (3-3) pion-nucleus resonance. Graphs of the differential cross-section for various energies are included, with discussion of some significant features. Effects of inclusion and exclusion of the self-consistency requirement are considered.

  • Received 19 June 1972

DOI:https://doi.org/10.1103/PhysRevC.6.1620

©1972 American Physical Society

Authors & Affiliations

Don Philip Engelberg

  • Queensborough Community College of the City University of New York, Bayside, New York 11364

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Issue

Vol. 6, Iss. 5 — November 1972

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