Analyticity Properties of the Meson-Deuteron Elastic-Scattering Amplitudes at Low Energy

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概要

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• A dispersion-theoretic treatment of the elastic scattering at low energy of mesons by deuterons is presented. The loosely bound nature of the deuteron results in small anomalous thresholds of the scattering amplitudes in the t channel and justifies the use of selected Feynman diagrams in the determination of the general analyticity properties of the amplitudes. The impulse approximation, binding corrections, and multiple-scattering terms are defined in terms of both triangle and box diagrams, and the dispersion relations with fixed s for these terms are derived by the method of analytic continuation with respect to the deuteron mass and with respect to s. It is found that the anomalous parts of the deuteron-baryon vertices play important roles in the derivation of the dispersion relations, and that the double-scattering amplitudes have no complex singularities. The general method has been applied to a determination of the angular distributions for π^+d and K^-d elastic scattering. In the former case, the binding correction due to N^*_3 / 2 is the main correction to the impulse approximation. In the latter case, the impulse approximation has been determined in terms of the KN scattering amplitudes which are approximated by two complex poles.

• 理論物理学刊行会の論文

著者

• Feldman David

  Department Of Orthopaedic Surgery Nyu Hospital For Joint Diseases

• Feldman David

  Department Of Physics Brown University

• ANDO Fujio

  On leave of absence from the Virginia Polytechnic Institute

• FELDMAN David

  Department of Physics, Brown University

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• Analyticity Properties of the Meson-Deuteron Elastic-Scattering Amplitudes at Low Energy

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