Symmetries in collective neutrino oscillations
arXiv:0808.2046 · doi:10.1088/0954-3899/36/10/105003
Abstract
We discuss the relationship between a symmetry in the neutrino flavour evolution equations and neutrino flavour oscillations in the collective precession mode. This collective precession mode can give rise to spectral swaps (splits) when conditions can be approximated as homogeneous and isotropic. Multi-angle numerical simulations of supernova neutrino flavour transformation show that when this approximation breaks down, non-collective neutrino oscillation modes decohere kinematically, but the collective precession mode still is expected to stand out. We provide a criterion for significant flavour transformation to occur if neutrinos participate in a collective precession mode. This criterion can be used to understand the suppression of collective neutrino oscillations in anisotropic environments in the presence of a high matter density. This criterion is also useful in understanding the breakdown of the collective precession mode when neutrino densities are small.
arXiv comment21 pages, 2 figures. Significant revision in presentation with a new title in v2
References in corpus (31)
- Identifying the neutrino mass spectrum from a supernova neutrino burst
- Simulation of Coherent Non-Linear Neutrino Flavor Transformation in the Supernova Environment I: Correlated Neutrino Trajectories
- Cosmological bounds on neutrino degeneracy improved by flavor oscillations
- Self-induced conversion in dense neutrino gases: Pendulum in flavour space
- Collective Neutrino Flavor Transformation In Supernovae
- Collective neutrino flavor transitions in supernovae and the role of trajectory averaging
- Stringent Constraints on Cosmological Neutrino-Antineutrino Asymmetries from Synchronized Flavor Transformation
- Self-induced spectral splits in supernova neutrino fluxes
- Coherent Development of Neutrino Flavor in the Supernova Environment
- Neutrino-Neutrino Scattering and Matter-Enhanced Neutrino Flavor Transformation in Supernovae
- Physics of Synchronized Neutrino Oscillations Caused by Self-Interactions
- Role of dense matter in collective supernova neutrino transformations
- Analysis of Collective Neutrino Flavor Transformation in Supernovae
- Neutrino Mixing and Nucleosynthesis in Core-Collapse Supernovae
- Flavor oscillations in the supernova hot bubble region: Nonlinear effects of neutrino background
- Decoherence in supernova neutrino transformations suppressed by deleptonization
- Collective three-flavor oscillations of supernova neutrinos
- Neutrino Mass Hierarchy and Stepwise Spectral Swapping of Supernova Neutrino Flavors
- Self-induced decoherence in dense neutrino gases
- Self-Maintained Coherent Oscillations in Dense Neutrino Gases
- Bimodal Coherence in Dense Self-Interacting Neutrino Gases
- Simple Picture for Neutrino Flavor Transformation in Supernovae
- Collective neutrinos oscillation in matter and CP-violation
- Spectral split in prompt supernova neutrino burst: Analytic three-flavor treatment
- Stepwise Spectral Swapping with Three Neutrino Flavors
- Generalized Boltzmann formalism for oscillating neutrinos
- Simultaneous Flavor Transformation of Neutrinos and Antineutrinos with Dominant Potentials from Neutrino-Neutrino Forward Scattering
- Oscillation Effects and Time Variation of the Supernova Neutrino Signal
- Collective neutrino oscillations in non-spherical geometry
- Liouville equations for neutrino distribution matrices
- Self-induced parametric resonance in collective neutrino oscillations
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- Collective Neutrino Oscillations
- Invariants of Collective Neutrino Oscillations
- No collective neutrino flavor conversions during the supernova accretion phase
- Self-induced suppression of collective neutrino oscillations in a supernova
- Analysis of matter suppression in collective neutrino oscillations during the supernova accretion phase
- Dynamic fast flavor oscillation waves in dense neutrino gases
- Effect of Transition Magnetic Moments on Collective Supernova Neutrino Oscillations
- Self-induced flavor instabilities of a dense neutrino stream in a two-dimensional model
- Evaluating approximate asymptotic distributions for fast neutrino flavor conversions in a periodic 1D box
- Collisional flavor instability in dense neutrino gases
- Transition Magnetic Moments and Collective Neutrino Oscillations:Three-Flavor Effects and Detectability
- The neutrino signal at HALO: learning about the primary supernova neutrino fluxes and neutrino properties
- Multi-angle effects in self-induced oscillations for different supernova neutrino fluxes
- Flavor isospin waves in one-dimensional axisymmetric neutrino gases
- Collective neutrino oscillations and spontaneous symmetry breaking
- Breaking the symmetries in self-induced flavor conversions of neutrino beams from a ring
- Geometric phases in neutrino oscillations with nonlinear refraction
- Resonances Driven by a Neutrino Gyroscope and Collective Neutrino Oscillations in Supernovae
- Neutrinos and rare isotopes
- Neutrinos and Symmetries
- Acquire information about neutrino parameters by detecting supernova neutrinos
- Flavor Oscillations in Core-Collapse Supernovae
- Neutrinos, Rare Isotopes of Exotic Nuclei and Nuclear Astrophysics