Unified theory of NNπd, πdπd, and NNNN reactions

B. Blankleider and I. R. Afnan
Phys. Rev. C 24, 1572 – Published 1 October 1981
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Abstract

Using a set of equations that couple the NN to the πd channel and satisfy two- and three-body unitarity, we have studied in detail the reaction ppπ+d, and πdπd and NNNN scattering. We find that the equations give a very good description of the differential cross sections and some of the polarization data for both ppπ+d and πdπd over the energy region 47<Tπ<256 MeV. We observe that for ppπ+d, higher partial waves (lπd>2) contribute significantly to both the differential cross section and analyzing power. Including the P11πN interaction and thus true absorption in πd elastic scattering, we find a cancellation between the pole and nonpole parts of the P11 amplitude. A major part of the effect of true absorption is in Jπ=0+, which contributes little to the absorption cross section. The sensitivity of the results to the D state of the deuteron and the choice of the πNN form factor is investigated. For NN scattering the agreement with the experimental phase shifts is better in the singlet than triplet channels. This is due to the absence of vector meson exchange in the calculation. The D21 phase shift exhibits resonance behavior in the absence of a pole in the amplitude.

NUCLEAR REACTIONS ppπd, πdπd. Total and differential cross section, polarization. 47<Tπ<256 MeV. NN I=1 phase shifts.

  • Received 12 May 1981

DOI:https://doi.org/10.1103/PhysRevC.24.1572

©1981 American Physical Society

Authors & Affiliations

B. Blankleider* and I. R. Afnan

  • School of Physical Sciences, The Flinders University of South Australia, Bedford Park, S. A. 5042, Australia

  • *Present address: TRIUMF, Vancouver, British Coulumbia, Canada.

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Issue

Vol. 24, Iss. 4 — October 1981

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