Summary
We have calculated the renormalized coupling constant of the pion-nucleon interaction by fitting the experimental data of the scattering with the dispersion relations. For the π++p → π+ → +p, we have found:f 2=0.095±0.005 and the experimental data and the theory well consistent. For the π−+p → π−+p, we have found a coupling constant appreciably smaller. The fact is not understandable in the frame of the usual theory of the pion-nucleon interaction.
Riassunto
Abbiamo calcolato la costante d’accoppiamento rinormalizzata dell’interazione pione-nucleone, adattando i dati sperimentali dello scattering alle relazioni di dispersione. Per lo scattering π++p → π++p abbiamo trovato:f 2=0.095±0.005 e una buona consistenza tra i dati sperimentali e la teoria. Per lo scattering π−+p → π−+p abbiamo trovato una costante d’accoppiamento sensibilmente minore. Il fatto non è spiegabile nell’ambito dell’usuale teoria dell’interazione pione-nucleone.
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Puppi, G., Stanghellini, A. Determination of the pion-nucleon interaction coupling constant from scattering experiments using dispersion relations. Nuovo Cim 5, 1305–1315 (1957). https://doi.org/10.1007/BF02731635
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DOI: https://doi.org/10.1007/BF02731635