What can we learn from e/sup +/e/sup -/. -->. U/sup +/U/sup -/. --> mu. /sup + -/hadrons+neutrinos

Journal Article · Fri Jul 01 00:00:00 EDT 1977 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(77)90006-9· OSTI ID:7288930

Hagiwara, T; Pi, S; Sanda, A

We have made a systematic study of the process e/sup +/+e/sup -/..-->..U/sup +/+U/sup -/..--> mu../sup + -/(direct single muon production process or DSM), to determine how information on the weak interaction governing the U decay can be obtained. We have found the following: (1) The muon-energy distribution for the process e/sup +/+e/sup -/..--> mu../sup + -/can be studied to extract the value of the Michel parameter rho for the decay U..--> mu..+ neutrinos. (2) The muon-angular distribution for the same process can be studied to obtain information on the U/sup +/U/sup -/ ..gamma..-coupling. (3) Among many U-decay channels contributing to the process e/sup +/+e/sup -/..--> mu../sup + -/minus-or-plus+ neutral particles, decays U/sup -/..--> nu../sub U/+..pi../sup -/ and U/sup -/..--> nu../sub U/+rho/sup -/ can be separated from the rest since these decay modes result in considerably different pion-energy distributions. The contributions of U/sup -/..--> nu../sub U/+..pi../sup -/ and U/sup -/..--> nu../sub U/+rho/sup -/ in above process can be studied to obtain further information on the nature of the weak current. There are quite a few different ways in which DSM can be studied. Many are complimentary to each other and we except that such studies will lead to a good understanding of the weak decays of U/sup + -/Lagrange equations postulated in the first paper of this series for the case when they are regular, namely, when they are simple equivalence transformations of the conventional Lagrange equations. We first introduce a generalization of the action principle capable of inducing the generalized as well as the conventional equations. In this way we establish that the former equations are ''bona fide'' analytic equations. Finally, as our most general analytic framework for the case of unconstrained field equations, we work out the necessary and sufficient condition for the existence of ordered direct analytic representations of quasi-linear systems in terms of the generalized analytic equations and study their relationship to the conventional representations.

• Research Organization: The Rockefeller University, New York, New York 10021
• OSTI ID: 7288930
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 106:1
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRON-POSITRON INTERACTIONS
PAIR PRODUCTION
HEAVY LEPTONS
LEPTONIC DECAY
EXCLUSIVE INTERACTIONS
HADRONS
INCLUSIVE INTERACTIONS
MUONS
NEUTRINOS
VECTOR CURRENTS
WEAK INTERACTIONS
ALGEBRAIC CURRENTS
BASIC INTERACTIONS
CURRENTS
DECAY
ELEMENTARY PARTICLES
FERMIONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
LEPTONS
MASSLESS PARTICLES
PARTICLE DECAY
PARTICLE INTERACTIONS
POSTULATED PARTICLES
WEAK PARTICLE DECAY
645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties