Summary
A three-pole expression for the electric proton form factor as a function of the π0, ω, ϕ vector boson resonances is compared to experiment in the spacelike region−10 (GeV)2<t<0. The three unknown parameters which enter the expression are determined by a least-squares method. An analytical continuation is made into the timelike regiont>0. Crossing symmetry and microscopie cansality are shown to hold. The connection between a well-known empirical formula for the form factor and the proposed expression is established.
Riassunto
Si propone una espressione «a tre poli» per il fattore di forma elettrico del protone in funzione delle risonanze bosoniche vettoriali π0, ω, ϕ e la si confronta con i dati sperimentali nella regione di tipo spazio −10GeV2<t<0. I tre parametri ignoti che compaiono nell’espressione vengono determinati con il metodo dei minimi quadrati. Si fa una continuazione analitica nella regione di tipo tempot>0. Si dimostra che valgono la simmetria di incrocio e la cansalità mieroscopica. Si stabilisce la relazione fra una ben nota formula empirica per il fattore di forma e l’espressione proposta.
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References
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It should be possible to relate them to the coupling constants of the π0, ω, ϕ mesons with pions and nucleons; seeM. Gell-Mann andF. Zachariasen:Phys. Rev.,124, 953 (1961).
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An erratum to this article is available at http://dx.doi.org/10.1007/BF02819586.
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Wataghin, V. Nucleon electromagnetic form factors and vector-boson resonances. Nuovo Cimento A (1965-1970) 54, 840–848 (1968). https://doi.org/10.1007/BF02825797
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DOI: https://doi.org/10.1007/BF02825797