Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-03-18
Eur.Phys.J.C37:359-377,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
45 pages, 1 table, 3 figures. Supersedes hep-ph/0110064. Consistent use of MRS matrix to describe charged lepton-neutrino coup
Scientific paper
10.1140/epjc/s2004-01988-8
Feynman's path amplitude formulation of quantum mechanics is used to analyse the production of charged leptons from charged current weak interaction processes. For neutrino induced reactions the interference effects predicted are usually called `neutrino oscillations'. Similar effects in the detection of muons from pion decay are here termed `muon oscillations'. Processes considered include pion decay (at rest and in flight), and muon decay and nuclear $\beta$-decay at rest. In all cases studied, a neutrino oscillation phase different from the conventionally used one is found. A concise critical review is made of previous treatments of the quantum mechanics of neutrino and muon oscillations.
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