High-energy electrons from bound-muon decay

Journal Article · Thu Apr 01 00:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.25.1847· OSTI ID:5433149

Shanker, O

Expressions for the electron spectrum from bound-muon decay which exist in the literature are very complex. The aim of this paper is to gain some insight into these formulas. This becomes possible when the Dirac equation is used to derive Wronskian-type relations between electron and muon wave functions. We also show how a trivial modification of the formulas accounts for the nuclear-recoil effect to a very good approximation. We present numerical results to aid order-of-magnitude estimates of the bound-muon-decay contribution to the background in ..mu..e conversion experiments. We find that the electron spectrum seems insensitive to deviations of the weak-interaction parameters from standard values.

• Research Organization: TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, Canada V6T 2A3
• OSTI ID: 5433149
• Journal Information: Phys. Rev. D; (United States), Vol. 25:7
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MUONS
LEPTONIC DECAY
DIRAC EQUATION
ELECTRON SPECTRA
MATRIX ELEMENTS
RECOILS
WAVE FUNCTIONS
WEAK INTERACTIONS
BASIC INTERACTIONS
DECAY
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FUNCTIONS
INTERACTIONS
LEPTONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE DECAY
SPECTRA
WAVE EQUATIONS
WEAK PARTICLE DECAY
645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties