Neutrino Oscillations and Energy-Momentum Conservation

Abstract

A description of neutrino oscillation phenomena is presented which is based on relativistic quantum mechanics and includes both entangled state and source dependent aspects, unlike both of the conventional approaches which use either equal energies or equal momenta for the different neutrino mass eigenstates. To second order in the neutrino masses, the standard result is recovered thus showing an absence of source dependence to this order. The time dependence of the wavefunction is found to be crucial to recovering the conventional result. An ambiguity appears at fourth order in the neutrino masses which generally leads to source dependence, but the standard formula can be promoted to this order by a plausible convention.

8 pages, LaTeX, no figs; revised; original title: Source Dependence of Neutrino Oscillations

References in corpus (5)

• Theories of Non-Experiments in Coherent Decays of Neutral Mesons
• No Lambda oscillations
• Interplay of Non-Relativistic and Relativistic Effects in Neutrino Oscillations
• Oscillations of recoil particles against mixed states
• The wavelength of neutrino and neutral kaon oscillations

Cited by in corpus (6)

• Neutrino oscillations: Entanglement, energy-momentum conservation and QFT
• On a theory of neutrino oscillations with entanglement
• Searching for sterile neutrinos from $\pi$ and $K$ decays
• Short baseline neutrino oscillations: when entanglement suppresses coherence
• Neutrino oscillations with disentanglement of a neutrino from its partners
• Spatial entanglement and massive neutrino oscillations produced by orbital electron capture decay