Summary
The matrix element for the process of single pion production in nucleon-nucleon collisions is constructed under the hypothesis of a dominant contribution from the one-pion exchange term. The effects of the virtuality of the π-meson are fully taken into account. It is found that the finite size of the nucleon cannot be neglected. The method used allows the determination of the «pionic form factor» of the nucleon. It is shown that, by the choice of a form factor similar to the e.m. ones, a satisfactory agreement with the experiment is obtained for incident energies of (1÷3) GeV. For higher energies, the connection with a possible «Regge pole behaviour» for such reactions is briefly discussed.
Riassunto
Si costituisce l ’elemento di matrice per il processo di produzione singola di pioni nell ’urto nucleone-nucleone, nell ’ipotesi di un contributo dominante dei diagrammi in cui è scambiato un solo pione tra le particelle incidenti. Si considerano in modo completo gli effetti della virtualità del pione intermedio, e si trova che le dimensioni finite del nucleone non possono essere trascurate. Il metodo usato permette la determinazione del «fattore di forma pionico» del nucleone. Si mostra che scegliendo un fattore di forma del tipo di quelli elettromagnetici si ottiene un soddisfacente accordo con l ’esperienza per energie incidenti di (1÷3) GeV. Per energie più alte, si discute brevemente la connessione con un possibile «comportamento alla Regge» di tali reazioni.
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References
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Ferrari, E., Selleri, F. An approach to the theory of single pion production in nucleon-nucleon collisions. Nuovo Cim 27, 1450–1483 (1963). https://doi.org/10.1007/BF02785639
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DOI: https://doi.org/10.1007/BF02785639