Summary
The assumption of vanishing neutrino mass leads to a group of transformations of the neutrino field which leave commutation relations and free-field Hamiltonian invariant but change the interaction into an equivalent one giving the same physical results. This concept, which is attributable toPursey andPauli, is here applied to μ-e decay under the assumption of local non-derivative coupling with no restrictions as to conservation of parity or lepton charge. The physically relevant invariant combinations of coupling constants are derived, and relations between them are discussed. Use is made of a recent paper by Kinosiiita and Sirlin to express all experimental information on μ-e decay in terms of these invariants.
Riassunto
L’ipotesi che il neutrino abbia massa tendente a zero conduce a un gruppo di trasformazioni del campo neutrinico che lasciano invarianti le relazioni di commutazione e l’hamiltoniana del campo libero, ma cambiano l’interazione in una équivalente che dà gli stessi risultati fisici. Questo concetto espresso daPuesey ePauli si applica qui al deeadimento μ-e nell’ipotesi di accoppiamento locale non derivativo senza restrizioni riguardo alla conservazione della parità o alla carica leptonica. Si derivano le combinazioni invarianti delle costanti d’accoppiamento d’importanza fisica e se ne discutono le reciproche relazioni. Si utilizza un récente lavoro di Kinoshita e Sirlin per esprimere tutte le risultanze sperimentali sul deeadimento μ-e in termini di tali invarianti.
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References
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This work was done under the auspice of the U.S. Atomic Energy Commission,
On leave of absence from Istituto di Fisica dell’ Università di Roma, Italy.
Fulbright Grantee on leave of absence from Max-Planck-Institut für Physik. Göttingen, Germany.
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Gatto, E., Lüders, G. Invariants in muon decay. Nuovo Cim 7, 806–820 (1958). https://doi.org/10.1007/BF02745586
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DOI: https://doi.org/10.1007/BF02745586