Summary
Radiative corrections to muon-proton scattering are calculated to orderα 3. Hard bremsphotons emitted by the muon are included. The radiation of the proton, however, is neglected. The phase-space integrations performed are suited for an experiment in which the recoil proton alone is observed. The cross-sections for π production in muon- (or electron-) proton scattering are estimated using the covariant Weizsäcker-Williams method. Numerical results based on experimental values for the pion photoproduction cross-section and for the form factors of the proton, are given in diagram form.
Riassunto
Si calcolano fino all’ordineα 3 le correzioni radiative dello scattering muone-protone. Si includono i fotoni di bremsstrahlung duri emessi dal muone. Si trascura però la radiazione del protone. Le integrazioni eseguite nello spazio delle fasi sono adatte ad un esperimento in cui si osserva solo il protone di rinculo. Si valutano le sezioni d’urto per la produzione di π nello scattering muone- (o elettrone-) protone usando il metodo covariante di Weizsäcker-Williams. Si dànno, sotto forma di diagrammi, i risultati numerici basati sui valori sperimentali della sezione d’urto della fotoproduzione di pioni e dei fattori di forma del protone.
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References
Throughout this paper we make full use of the results in I,V. Gorgé, M. Locher andH. Rollnik:Nuovo Cimento,27, 928 (1963). The basic notations of paper I are repeated for convenience of the reader.
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Locher, M.P. Bremsstrahlung, radiative corrections and pion production in muon-proton scattering. Nuovo Cim 32, 1258–1268 (1964). https://doi.org/10.1007/BF02726067
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DOI: https://doi.org/10.1007/BF02726067