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Anomalous quark diagrams in the virtual decays V. -->. P+P' and P. -->. V+P' and in related processes

Journal Article · · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:5564810
The form factors of the virtual decays V..-->..P+P' and P..-->..V+P' are calculated under the assumption that the vertex VPP', where V and P are vector and pseudoscalar mesons, is dominated by the anomaly associated with the corresponding quark diagram. The effect of the resulting form factors on the electromagnetic and weak form factors of the P meson is considered. It is shown that the results agree with the predictions of the standard vector-dominance model if the interaction of the photon and W boson with the pseudoscalar mesons is determined by the anomaly of the quark diagram in the ..gamma..PP and WPP vertices. A discussion is given of the effect of the form factors of the decay rho..--> pi pi.. of a virtual rho meson on the superconvergence of the dispersion relations for the rho..pi -->..rho..pi.. scattering amplitude and on the rho-meson constribution to the ..pi pi.. scattering length. Rules for calculating quark amplitudes involving any number of mesons are formulated for the examples of the decays ..omega --> pi../sup +/..pi../sup -/..pi../sup 0/ and eta(eta')..--> pi../sup +/..pi../sup -/..gamma...
Research Organization:
M. I. Kalinin Polytechnic Int., Leningrad
OSTI ID:
5564810
Journal Information:
Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 33:6; ISSN SJNCA
Country of Publication:
United States
Language:
English