Neutrino oscillations in space within a solvable model
arXiv:hep-ph/9809503 · doi:10.1103/PhysRevD.59.053003
Abstract
We study neutrino oscillations in space within a realistic model in which both the source and the target are considered to be stationary having Gaussian-form localizations. The model admits an exact analytic solution in field theory which may be expressed in terms of complementary error functions, thereby allowing for a quantitative discussion of quantum-mechanical (coherent) versus statistical (incoherent) uncertainties. The solvable model provides an insightful framework in addressing questions related to propagation and oscillation of neutrinos that may not be attainable by the existing approaches. We find a novel form of plane-wave behaviour of neutrino oscillations if the localization spread of the source and target states due to quantum mechanics is of macroscopic size but much smaller than neutrinos' oscillation length. Finally, we discuss the limits on the coherence length of neutrino oscillations and find that they mainly arise from uncertainties of statistical origin.
17 pages, ReVTeX, clarifications added
References in corpus (5)
Cited by in corpus (22)
- Oscillations of neutrinos and mesons in quantum field theory
- Paradoxes of neutrino oscillations
- Towards a unique formula for neutrino oscillations in vacuum
- Coherence of neutrino flavor mixing in quantum field theory
- A diagrammatic treatment of neutrino oscillations
- Fermion mixing in quasi-free states
- The MSW Effect in Quantum Field Theory
- Revisiting the quantum field theory of neutrino oscillations in vacuum
- Decoherence effects in reactor and Gallium neutrino oscillation experiments -- a QFT approach
- A Covariant Path Amplitude Description of Flavour Oscillations: The Gribov-Pontecorvo Phase for Neutrino Vacuum Propagation is Right
- Neutrino Oscillations, Entanglement and Coherence: A Quantum Field Theory Study In Real Time
- Extended Grimus-Stockinger theorem and inverse square law violation in quantum field theory
- Do non-relativistic neutrinos oscillate?
- Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations
- Towards a Localised S-Matrix Theory
- Thermal regularization of t-channel singularities in cosmology and particle physics: the general case
- Inference solves a boundary-value collision problem, with relevance to neutrino flavor transformation
- Flavor Oscillation from the Two-Point Function
- Virtual neutrino propagation at short baselines
- Toward a quantum field theoretical description of oscillation effects
- Decoherence in Neutrino Oscillation between 3D Gaussian Wave Packets
- Evolution of Mixed Particles Interacting with Classical Sources