Effect of a pion-pion scattering resonance on low energy meson-photoproduction View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1960-12

AUTHORS

M. Gourdin, D. Lurié, A. Martin

ABSTRACT

The influence of the two and three pion intermediate states in the channel γπ→ on photoproduction is studied. Application of the Cini-Fubini version of the Mandelstam representation to the amplitudeH(0) (isoscalar photon) permits the evaluation of the contribution of aJ=I=1 pion-pion resonance in terms of the isovector nucleon form factors and of the quantities describing the γ+π→π+π amplitude. In the limit of a very narrow resonance the result can be obtained by introducing an isovector vector boson coupled to γπ and to. This contribution can be merely added to the previous evaluations ofH(0), since rescattering corrections are negligible at low energies. Arguments are given to show that the only important three-pion state is a resonantI=0,J=1 state which is crudely described by an isoscalar vector boson. Some of the parameters entering in this calculation can be obtained from experimental information on the isoscalar nucleon form factors. Though the three pion contribution toH(+) (isovector photon) is very simple, the final result is obtained in a more complicated way because rescattering corrections are important. Through crossing,H(−) (isovector photon) is also affected. It seems that one of the most interesting quantities to consider, in order to compare theory and experiment, is the dσ+/dσ− ratio and its dependence on energies and angles. More... »

PAGES

933-946

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02733034

DOI

http://dx.doi.org/10.1007/bf02733034

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1036832833


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