Summary
We present an analysis of recent\(e^ + e^ - \to p\bar p\) data in an extended vector-dominance model which has usual analyticity properties and a rather weak asymptotic boundedness condition. The model allows the necessary analytic continuation into the annihilation region. The few free parameters are determined by the fit to the world’s data. As expected, the scarce timelike data place a strong constraint on the analysis, causing, in the variants we considered, the timelike form factors to develop a large imaginary part.
Riassunto
Si presenta un’analisi di recenti dati\(e^ + e^ - \to p\bar p\) in un modello esteso di dominanza vettoriale che ha le consuete proprietà di analiticità e una condizione di limite asintotico abbastanza debole. Il modello permette la continuazione analitica necessaria nella regione di annichilazione. I pochi parametri liberi sono determinati mediante approssimazione dei dati globali. Come previsto, gli scarsi dati di tipo tempo pongono un forte vincolo all’analisi facendo sì, nelle varianti considerate, che i fattori di forma di tipo tempo sviluppino una grande parte immaginaria.
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Bardek, V., Hlousek, Z., Trower, W.P. et al. Proton timelike form factors and recent\(e^ + e^ - \to p\bar p\) data. Nuov Cim A 75, 368–375 (1983). https://doi.org/10.1007/BF02829876
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DOI: https://doi.org/10.1007/BF02829876