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Pion form factor from partially unitarized hard-pion current algebra

Пионный форм-фактор иэ частично унитарной алгебры токов для жестких пионов

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Il Nuovo Cimento A (1965-1970)

Summary

Using a consistency condition for the transverse part of the primitive AAV-vertex function, we derive the electromagnetic form factor of the pion from partially unitarized hard-pion current algebra and the Schnitzer-Weinberg parametrization (δ-model). The result is in very good agreement with the Orsay measurements and in good enough agreement with the scarce data for spacelike arguments. The difference between the position of the peak of the form factor and the resonance energy is discussed.

Riassunto

Facendo uso di una condizione di consistenza per la parte trasversale della funzione primitiva del vertice AAV, si deduce il fattore di forma elettromagnetico del pione in base all’algebra delle correnti del pione duro parzialmente unitarizzate ed alla parametrizzazione di Schnitzer e Weinberg (modelloδ). Il risultato è in ottimo accordo con le misure ottenute ad Orsay ed in accordo abbastanza buono con gli scarsi dati per argomenti di tipo spaziale. Si discute la differenza fra la posizione del picco del fattore di forma e l’energia della risonanza.

Реэюме

Испольэуя условие непротиворечивости для поперечной части примитивной AAV-верщинной функции, выводится злектромагнитный форм-фактор пиона иэ частично унитарной алгебры токов для жестких пионов и параметриэации Щнитцера-Вейнберга (δ-модель). Этот реэультат очень хорощо согласуется с иэмерениями в Орсее и достаточно хорощо с немногочисленными данными для пространственно-под обных аргументов. Обсуждается раэность между положением пика форм-фактора и реэонансной знергией.

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  1. G. Ecker

    Present address: the University of Vienna, Austria

Authors and Affiliations

  1. CERN, Geneva

    G. Ecker

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  1. G. Ecker
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Ecker, G. Pion form factor from partially unitarized hard-pion current algebra. Nuov Cim A 6, 1–12 (1971). https://doi.org/10.1007/BF02723428

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  • DOI: https://doi.org/10.1007/BF02723428

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