Non-adiabatic Level Crossing in Resonant Neutrino Oscillations

Abstract

Analytic results are presented for the probability of detecting an electron neutrino after passage through a resonant oscillation region. If the electron neutrino is produced far above the resonance density, this probability is simply given by $⟨P_{{\nu }_e}⟩\approx {\sin }^2{\theta }_0+P_{\text{x}}\cos 2{\theta }_0$, where ${\theta }_0$ is the vacuum mixing angle. The probability is averaged over the production as well as the detection positions of the neutrino and $P_{\text{x}}$ is the Landau-Zener transition probability between adiabatic states. Finally, this result is applied to resonance oscillations within the solar interior.

Matches version published in journal

Cited by in corpus (47)

• Phenomenology with Massive Neutrinos
• Adiabaticity and spectral splits in collective neutrino transformations
• Microwave Background Constraints on Mixing of Photons with Hidden Photons
• Damping of supernova neutrino transitions in stochastic shock-wave density profiles
• Neutrino oscillations: the rise of the PMNS paradigm
• The Future of Solar Neutrinos
• Neutrino Mass and New Physics
• Implications of first LZ and XENONnT results: A comparative study of neutrino properties and light mediators
• Neutrino mass hierarchy extraction using atmospheric neutrinos in ice
• Spectral splits and entanglement entropy in collective neutrino oscillations
• Thirty five classes of solutions of the quantum time-dependent two-state problem in terms of the general Heun functions
• Neutrino flavor transformation in the lepton-asymmetric universe
• Neutrino flavor ratios as diagnostic of solar WIMP annihilation
• Hints of dark photon dark matter from observations and hydrodynamical simulations of the low-redshift Lyman-$\alpha$ forest
• Constraining Feeble Neutrino Interactions with Ultralight Dark Matter
• NOvA and T2K: The race for the neutrino mass hierarchy
• Solar neutrino physics
• Combining CPT-conjugate Neutrino channels at Fermilab
• Millicharged Relics Reveal Massless Dark Photons
• Neutrino Oscillations through the Earth's Core
• Evolution of Tau-Neutrino Lepton Number in Protoneutron Stars due to Active-Sterile Neutrino Mixing
• Solar Neutrinos and the Strongest Oscillation Constraints on Scalar NSI
• What Fraction of Boron-8 Solar Neutrinos arrive at the Earth as a nu_2 mass eigenstate?
• The diffuse supernova neutrino background as a probe of late-time neutrino mass generation
• Realistic Earth matter effects and a method to acquire information about small θ_{13} in the detection of supernova neutrinos
• The Neutrino Signal From Pair Instability Supernovae
• Shaping Dark Photon Spectral Distortions
• Thermodynamics of oscillating neutrinos
• Terrestrial detection of hidden vectors produced by solar nuclear reactions
• Resonant Production of Light Sterile Neutrinos in Compact Binary Merger Remnants
• Disentangle Neutrino Electromagnetic Properties with Atomic Radiative Pair Emission
• Determining the Density of the Sun with Neutrinos
• Adiabatic Faraday effect in a two-level Hamiltonian formalism
• Observing how deep neural networks understand physics through the energy spectrum of one-dimensional quantum mechanics
• Linking solar bosonic dark matter halos and active neutrinos
• Spin-Flavor Precession Phase Effects in Supernova
• A $\nu$ look at the Sun: Probing the conditions of the solar core using ${}^8$B neutrinos
• Essential Solar Neutrinos
• Towards First Detection of the Solar MSW Transition With JUNO
• Individual Neutrino Masses From a Supernova
• Neutrino propagation in winds around the central engine of sGRB
• Neutrino Properties and Interactions
• Distinguishing Dirac and Majorana Neutrinos: Resonant Spin-Flavor Precession of GeV-Scale Astrophysical Transients
• Elaborating the Ultimate Fate of Fast Collective Neutrino Flavor Oscillations
• Cosmic Overture Echoed in a Stellar Final Act: Implications of Nanohertz Gravitational Waves for Core Collapse Supernova Neutrinos
• Constraints on Fermionic Dark Matter Absorption from Radiochemical Solar-Neutrino Measurements
• Exploring nonstandard quark interactions through solar neutrino studies