Summary
An integral equation is derived which exhibits directly the relation between an amplitude for production, including all interactions, and the corresponding amplitude for complete scattering between the initial particles alone, and between the final particles alone. The only non-measurable quantity involved in this relatively simple relation is shown to be an amplitude for «pure production» in which intermediate states with either the initial particles or the final particles are excluded.
Riassunto
Si deriva un’equazione integrale che mostra direttamente la relazione tra una ampiezza di produzione, comprendente tutte le interazioni, e la corrispondente ampiezza di scattering completo tra le sole particelle iniziali e tra le sole particelle finali. Si dimostra che la sola grandezza non misurabile comparente in questa relazione relativamente semplice è un’ampiezza di «produzione pura» nella quale sono esclusi stati intermedi sia con le particelle iniziali che con le particelle finali.
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This research was supported in part by the United States Air Force through the Air Force Office of Scientific Research of the Air Research and Development Command.
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Sucher, J., Day, T.B. On a relation between scattering and production amplitudes. Nuovo Cim 13, 1111–1116 (1959). https://doi.org/10.1007/BF02725121
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DOI: https://doi.org/10.1007/BF02725121