Theorems and Bounds Relating to the Two-Photon Decay of the Pion | Zendy

Geoffrey B. West | Zendy

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Theorems and Bounds Relating to the Two-Photon Decay of the Pion

Author(s) -

Geoffrey B. West

Publication year - 1973

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.30.1271

Subject(s) - physics , pion , mathematical physics , vertex (graph theory) , vertex function , form factor (electronics) , photon , upper and lower bounds , sigma , particle physics , quantum mechanics , combinatorics , mathematical analysis , mathematics , graph

An exact bound on the pi /sup o/-2 gamma vertex function is derived. From it, it is possible to estimate bounds to the corrections to the vector- dominance model, the anomalous constant S, and the asymptotic behavior of the form factor. A theorem is derived which states that, under specific assumptions, the coefficient (K) of the axial current in the short distance expansion of two electromagnetic currents is finite if sigma /sub e+ e/sup - l/s, but vanishes if sigma /sub e+ e- falls faster. (auth)

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