Production of Charged π-Meson by γ-Ray : Higher Order Corrections

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概要

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• The effective cross section for the production of charged π-meson by γ-ray is calculated by the Lorentz-covariant perturbation method, including the effects of order e^2f^4(e^2g^4). The pseudoscalar meson field with both pseudoscalar and pseudovector coupling has been employed. Virtual mesons in intermediate states can be either charged or neutral. The procedure of therenormalization of mass and mesic charge(f, g)is sufficient to determine unambiguously the finite fourthe order matrix element except only one term to be interpreted as "electric charge of neutron, "which we have struck out. The general requirement of gauge invariance restricts the possible interaction of nucleon and meson with photon to only four types ; consequently we have divided numerous Dyson diagrams into certain gauge invariant classes and then reduced them according to Dyson's general program, to obtain ultimately those four types. In our second approximation the anomalous magnetic moment of the nucleon plyays an essntial part ; consequently the lack of any correct analysis for the latter complicates our results considerably. Moreover, in our γ-π process the behaviour of the magnetic corrections, dependent on the incident energy of photon, are comparable with the static effects. Three provisional measures have been taken with regard to the anomalous moments and the resulting values for the various combinations and couplings of meson fields are compared and discussed. Though the results depend upon the choice of these possibilities, it is shown, in general, that the fourth order contributions turn out for the energy region of the present experiments(incident X-ray being about 330 Mev.), not so large compared with the second order in the case of the symmetrical combination, while they are of the same order of magnitude with the second order in the case of the "charged plus pure neutral" combination. Finally some qualitative aspects of the γ-π process are discussed, which might be valid independently of the order of approximation.

• 理論物理学刊行会の論文

著者

• Kotani Tsuneyuki

  Department Of Physics Faculty Of Science Osaka University

• Koba Ziro

  Department Of Physics Faculty Of Science Osaka University

• NAKAI Shinzo

  Department of Physics, Faculty of Science, Osaka University

• Nakai Shinzo

  Department Of Physics Faculty Of Science Osaka University

• KOTANI Tsuneyuki

  Department of Physics, Faculty of Science, Osaka University

関連論文

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• Observation of the (π,π) Resonance in the Pion Production Process
• On the β-decay of Λ and Σ^-Hyperons
• On Gauge lnvariance and Equivalence Theorems
• Note on a Lorentz-Invariant Integration in the Quantum Field Theory
• Production of Charged π-Meson by γ-Ray : Higher Order Corrections
• Dynamical Mechanism for Composite Particles : Report on Symposium on the Structure of S Matrix.
• An Impact Parameter Representation of the Scattering Problem
• An Impact Parameter Formalism. III : Strong Absorption Model
• An Impact Parameter Representation of the Scattering Problem
• On the Extension of the Casimir Trick, I : On the Definition of Density Matrix and its Reduction
• The N/D Method and the Pion-Pion Scattering
• Analytic Property of Impact Parameter Amplitude
• On the Solution of the N/D Method
• The First Forbidden β-Decay
• An Impact Parameter Formalism
• A String Model Interpretation of ψ-Particles
• Point Transformation and Its Application
• Note on the Isotopic Spin of the Antiparticle

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