Summary
A pole expansion of Veneziano four-point amplitudes which is convergent in the annihilation channel is useda) to analyse the resonance content of the previously proposed dual descriptions of the reaction\(\bar p\)n → π+π−π− at rest, andb) to construct a dual model for this reaction which exhibits a clear connection to the final-state interaction model. The important predictions of duality and crossing symmetry are the existence of the daughter resonances in the ππ system (particularly ɛ and ɛ′), and the presence of a nonresonant background in the annihilation amplitude. A reasonable fit to the data is found with this model.
Riassunto
Si usa uno sviluppo polare delle ampiezze di quattro punti di Veneziano convergente nel canale di annichilazione pera) analizzare il contenuto di risonanze della descrizione duale della reazione\(\bar p\)n → π+π−π− in quiete proposto precedentemente, eb) costruire un modello duale di questa reazione che presenti una chiara connessione col modello di interazione dello stato finale. Le predizioni importanti della dualità e della simmetria incrociata sono l’esistenza delle risonanze figlie nel sistema ππ (in particolare ɛ e ɛ′) e la presenza di un fondo non risonante nell’ampiezza di annichilazione. Con questo modello si trova una ragionevole approssimazione ai dati.
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References
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Pokorski, S., Raitio, R.O. & Thomas, G.H. Duality and final-state interaction in the description of\(\bar p\)n → π+π−π− at rest. Nuov Cim A 7, 828–838 (1972). https://doi.org/10.1007/BF02728813
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DOI: https://doi.org/10.1007/BF02728813