Do muons oscillate ?

Abstract

We develop a theory of the EPR-like effects due to neutrino oscillations in the $\pi \to \mu \nu$ decays. Its experimental implications are space-time correlations of neutrino and muon when they are both detected, while the pion decay point is not fixed. However, the more radical possibility of muon oscillations in experiments where only muons are detected (as it has been suggested in hep-ph/9509261), is ruled out. We start by discussing decays of monochromatic pions, and point out a few ``paradoxes''. Then we consider pion wave packets, solve the ``paradoxes'', and show that the formulas for $\mu nu$ correlations can be transformed into the usual expressions, describing neutrino oscillations, as soon as the pion decay point is fixed.

23 LaTeX pages

References in corpus (2)

• CP Violation, Mixing, and Quantum Mechanics
• Charged Lepton Oscillations and (g-2) Measurements

Cited by in corpus (27)

• MeV-scale Reheating Temperature and Thermalization of Neutrino Background
• Oscillations of neutrinos and mesons in quantum field theory
• Paradoxes of neutrino oscillations
• Observation of Non-Exponential Orbital Electron Capture Decays of Hydrogen-Like ${}^{140}$Pr and ${}^{142}$Pm Ions
• Neutrino oscillations: Quantum mechanics vs. quantum field theory
• Coherence and Wave Packets in Neutrino Oscillations
• Neutrino oscillations: Entanglement, energy-momentum conservation and QFT
• Do charged leptons oscillate?
• On a theory of neutrino oscillations with entanglement
• Neutrino oscillations in space within a solvable model
• Correlated Wave Packet treatment of Neutrino and Neutral Meson Oscillations
• On the Mass Neutrino Phase calculations along the geodesic line and the null line
• Oscillations of recoil particles against mixed states
• Comment on Equal Velocity Assumption for Neutrino Oscillations
• Do non-relativistic neutrinos oscillate?
• Wave packet treatment of neutrino flavor oscillations in various spacetimes
• Superluminal Dark Neutrinos
• Theory of Neutrino Oscillations
• Space-time description of neutrino flavour oscillations
• The wavelength of neutrino and neutral kaon oscillations
• On the extra factor of two in the phase of neutrino oscillations
• Of Course Muons Can Oscillate
• Charged lepton mixing via heavy sterile neutrinos
• A Wave-Packet View of Neutrino Oscillation and Pion Decay
• Flavor mixing in a Lee-type model
• Spatially Dependent Quantum Interference Effects in the Detection Probability of Charged Leptons Produced in Neutrino Interactions or Weak Decay Processes
• Spatial entanglement and massive neutrino oscillations produced by orbital electron capture decay