Muon Tridents

Abstract
Under the assumption that muons are heavy electrons, the total cross section for muon tridents on lead is calculated for 12.0-BeV incident muons including the effect of exchange for identical particles in the final state; various differential cross sections are presented. The positron spectrum for 31.5-MeV electron tridents on copper is also calculated and found to agree with Criegee's experimental results. It is found that the entire effect of statistics is confined to a region of phase space where the two leptons of like charge in the final state have an invariant mass of less than 3.5 times their rest mass.

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