Faddeev approach to pion production and pion-deuteron scattering

I. R. Afnan and A. W. Thomas
Phys. Rev. C 10, 109 – Published 1 July 1974
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Abstract

Some consequences of a new approach to pion production are explored in the threshold region. We treat the πNN system as a three-body system, with absorption (or production) occurring because of the existence of a πN bound state in the P11 (nucleon) channel. This description of the NNπ vertex is justified by successfully using the model to calculate the long range part of the NN scattering amplitude. The results of the pion production calculation confirm a sensitivity to the short range behavior of the deuteron wave function and its D-state probability reported earlier. We also find a stronger variation of the production amplitude with energy than has previously been reported. This may resolve the apparent incompatibility of some experimental results. Finally, we also discuss the implications of the model for pion-deuteron elastic scattering.

NUCLEAR REACTIONS ppπ+d, Eπ=030 MeV; s-wave pions, calculated σ as function of Eπ, also dependence on NN interaction. d(π, π); calculated scattering length, including absorption. Faddeev calculation, separable interactions.

  • Received 12 March 1974

DOI:https://doi.org/10.1103/PhysRevC.10.109

©1974 American Physical Society

Authors & Affiliations

I. R. Afnan and A. W. Thomas*

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

  • *At present Killam Postdoctoral Fellow in Department of Physics, University of British Columbia, Vancouver V6T 1W5, Canada.

Comments & Replies

Comment on three-particle model of the NNπ system

Michael G. Fuda
Phys. Rev. C 12, 2097 (1975)

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Vol. 10, Iss. 1 — July 1974

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