Neutrino oscillations in matter and in twisting magnetic fields
arXiv:0708.2328 · doi:10.1088/0954-3899/35/2/025003
Abstract
We find the solution to the Dirac equation for a massive neutrino with a magnetic moment propagating in background matter and interacting with the twisting magnetic field. In frames of the relativistic quantum mechanics approach to the description of neutrino evolution we use the obtained solution to derive neutrino wave functions satisfying the given initial condition. We apply the results to the analysis of neutrino spin oscillations in matter under the influence of the twisting magnetic field. Then on the basis of the yielded results we describe spin-flavor oscillations of Dirac neutrinos that mix and have non-vanishing matrix of magnetic moments. We again formulate the initial condition problem, derive neutrinos wave functions and calculate the transition probabilities for different magnetic moments matrices. The consistency of the obtained results with the quantum mechanical treatment of spin-flavor oscillations is discussed. We also consider several applications to astrophysical and cosmological neutrinos.
13 pages, 1 eps figure, RevTeX4. The paper was significantly revised. Title was changed, two new sections (Secs. IV and V), devoted to quantum mechanical treatment of neutrino oscillations and possible applications, were added. Many examples were included throughout the text. Final version to be published in J. Phys. G
References in corpus (31)
- Big-Bang nucleosynthesis (Particle Data Group mini-review)
- The Cosmological Parameters 2006
- Status of global fits to neutrino oscillations
- Neutrinos in cosmology
- Search for neutrinoless double beta decay with enriched 76Ge in Gran Sasso 1990-2003
- Double Beta Decay
- How Magnetic is the Dirac Neutrino?
- Model Independent Bounds on Magnetic Moments of Majorana Neutrinos
- Experimental Study For The Feasibility Of A Crystalline Undulator
- Electric charge and magnetic moment of massive neutrino
- Neutrinos with Mixing in Twisting Magnetic Fields
- Neutrino masses and cosmic radiation density: Combined analysis
- Solar neutrino oscillations and bounds on neutrino magnetic moment and solar magnetic field
- Neutrino quantum states and spin light in matter
- Neutrino Propagation in a Strongly Magnetized Medium
- Neutrino spin evolution in presence of general external fields
- Confronting Spin Flavor Solutions of the Solar Neutrino Problem with current and future solar neutrino data
- Neutrino Oscillations in Electromagnetic Fields
- High energy neutrino spin light
- Does the neutrino magnetic moment have an impact on solar neutrino physics?
- Low Energy Solar Neutrinos and Spin Flavour Precession
- A new solution to the solar neutrino deficit
- Neutrino scattering on polarized electron target as a test of neutrino magnetic moment
- Can we distinguish Majorana and Dirac neutrinos in solar neutrino experiments ?
- Evolution of Mixed Dirac Particles Interacting with an External Magnetic Field
- Evolution of coupled classical fields
- Effects of degenerate sterile neutrinos on the supernova neutrino flux
- SNO+: predictions from standard solar models and spin flavour precession
- Evolution of coupled fermions under the influence of an external axial-vector field
- Neutrino spin-flavor oscillations in rapidly varying external fields
- Neutrino spin relaxation in medium with stochastic characteristics
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- Spin-flavor oscillations of ultrahigh-energy cosmic neutrinos in interstellar space: The role of neutrino magnetic moments
- Pure quantum states of a neutrino with rotating spin in dense magnetized matter
- Neutrino Electromagnetic Properties
- Neutrino spin and spin-flavour oscillations in transversal matter currents with standard and non-standard interactions
- Oscillations of Dirac and Majorana neutrinos in matter and a magnetic field
- Spin-flavor oscillations of Dirac neutrinos in a plane electromagnetic wave
- Spin-flavor oscillations of Dirac neutrinos described by relativistic quantum mechanics