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Progress of Theoretical Physics
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Pion-Nulceon Scattering and the Structure of the Pion

Pion-nucleon scattering and the structure of the pion
Authors: Machida, Shigeru;

Pion-Nulceon Scattering and the Structure of the Pion

Abstract

Effects of the structure'' of the pion on the pionnucleon scattering are discussed. A formal expression of the interaction kernel far the nucleon- antinucleon propagator is given, from which the effective Hamiltonian'' for the emission and absorption of one pion and that for two pions is derived, respectively. Effects of two-pion vertex, which is characteristic of the structure of the pion, seem to be not necessarily negligible compared with the effects of one-pion vertex, according to a very rough estimate of the order of magnitude of the coupling constant'' appearing in the interaction kernel ior the nucleon-antinucleon propagator. At present two standpoints are recognized with respect to the theory of the pion, i.e., the compound theory of the pion and the conventional local pion field theory. However, some important properties of both theories, are discussed by using the above method, and the qualitative properties concerning the isospin dependence of the pion-nucleon scattering matrix elements are obtained. Quantitative evaluation of the possible effects is not made, since for that purpose it is necessary to attack the details of the structure of the pion. It is shown, in the appendix, that the crossing symmetry fur the pionnucleon scattering holds even if themore » pion is considered to be composed of an arbitrary number of fermion pairs and bosons, provided that the primary interaction Lagrangian satisfies the integrability condition to assure the existence of propagators. (auth)« less

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quantum theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average
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