99 research outputs found
Coherent Neutrino Interactions in a Dense Medium
Motivated by the effect of matter on neutrino oscillations (the MSW effect)
we study in more detail the propagation of neutrinos in a dense medium. The
dispersion relation for massive neutrinos in a medium is known to have a
minimum at nonzero momentum p \sim (G_F\rho)/\sqrt{2}. We study in detail the
origin and consequences of this dispersion relation for both Dirac and Majorana
neutrinos both in a toy model with only neutral currents and a single neutrino
flavour and in a realistic "Standard Model" with two neutrino flavours. We find
that for a range of neutrino momenta near the minimum of the dispersion
relation, Dirac neutrinos are trapped by their coherent interactions with the
medium. This effect does not lead to the trapping of Majorana neutrinos.Comment: 28 pages, 6 figures, Latex; minor changes, one reference added;
version to appear in Phys. Rev.
Neutrino flavor conversion in a neutrino background: single- versus multi-particle description
In the early Universe, or near a supernova core, neutrino flavor evolution
may be affected by coherent neutrino-neutrino scattering. We develop a
microscopic picture of this phenomenon. We show that coherent scattering does
not lead to the formation of entangled states in the neutrino ensemble and
therefore the evolution of the system can always be described by a set of
one-particle equations. We also show that the previously accepted formalism
overcounts the neutrino interaction energy; the correct one-particle evolution
equations for both active-active and active-sterile oscillations contain
additional terms. These additional terms modify the index of refraction of the
neutrino medium, but have no effect on oscillation physics.Comment: 12 pages, 3 figures, minor typos correcte
Solar Neutrinos with Three Flavor Mixings
The recent 71Ga solar neutrino observation is combined with the 37Cl and
Kamiokande-II observations in an analysis for neutrino masses and mixings. The
allowed parameter region is found for matter enhanced mixings among all three
neutrino flavors. Distortions of the solar neutrino spectrum unique to three
flavors are possible and may be observed in continuing and next generation
experiments.Comment: August 1992 (Revised) PURD-TH-92-
Matter effects in long baseline experiments, the flavor content of the heaviest (or lightest) neutrino and the sign of Delta m^2
The neutrinos of long baseline beams travel inside the Earth's crust where
the density is approximately rho = 2.8 g cm^-3. If electron neutrinos
participate in the oscillations, matter effects will modify the oscillation
probabilities with respect to the vacuum case. Depending on the sign of Delta
m^2 an MSW resonance will exist for neutrinos or anti-neutrinos with energy
approximately E_nu(res) = 4.7 |\Delta m^2|/(10^-3 eV^2) GeV. For Delta m^2 in
the interval indicated by the Super-Kamiokande experiment this energy range is
important for the proposed long baseline experiments.
For positive Delta m^2 the most important effects of matter are a 9% (25%)
enhancement of the transition probability P(nu_mu -> nu_e) for the KEK to
Kamioka (Fermilab to Minos and CERN to Gran Sasso) beam(s) in the energy region
where the probability has its first maximum, and an approximately equal
suppression of P(antinu_mu -> antinu_e). For negative Delta m^2 the effects for
neutrinos and anti-neutrinos are interchanged. Producing beams of neutrinos and
antineutrinos and measuring the oscillation probabilities for both (nu_mu ->
nu_e) and (antinu_mu -> antinu_e) transitions can solve the sign ambiguity in
the determination of Delta m^2.Comment: Latex, 28 pages, 12 postscript figure
Constraints on Exotic Mixing of Three Neutrinos
Exotic explanations are considered for atmospheric neutrino observations. Our
analysis includes matter effects and the mixing of all three neutrinos under
the simplifying assumption of only one relevant mixing scale. Constraints from
accelerator, reactor and solar neutrinos are included. We find that the
proposed mixing mechanisms based on violations of Lorentz invariance or on
violations of the equivalence principle cannot explain the recent observations
of atmospheric neutrino mixing. However the data still allow a wide range of
energy dependences for the vacuum mixing scale, and also allow large
electron-neutrino mixing of atmospheric neutrinos. Next generation long
baseline experiments will constrain these possibilities.Comment: 27 pages, 4 figure
Neutrino Oscillations in the Early Universe with Nonequilibrium Neutrino Distributions
Around one second after the big bang, neutrino decoupling and -
annihilation distort the Fermi-Dirac spectrum of neutrino energies. Assuming
neutrinos have masses and can mix, we compute the distortions using
nonequilibrium thermodynamics and the Boltzmann equation. The flavor behavior
of neutrinos is studied during and following the generation of the distortion.Comment: accepted for publication in Physical Review
Quantum field theoretic approach to neutrino oscillations in matter
We consider neutrino oscillations in non-uniform matter in a quantum field
theoretic (QFT) approach, in which neutrino production, propagation and
detection are considered as a single process. We find the conditions under
which the oscillation probability can be sensibly defined and demonstrate how
the properly normalized oscillation probability can be obtained in the QFT
framework. We derive the evolution equation for the oscillation amplitude and
discuss the conditions under which it reduces to the standard
Schr\"odinger-like evolution equation. It is shown that, contrary to the common
usage, the Schr\"odinger-like evolution equation is not applicable in certain
cases, such as oscillations of neutrinos produced in decays of free pions
provided that sterile neutrinos with eV exist.Comment: LaTeX, 24 pages + 16 pages of appendices, 1 figure. V2: typos
correcte
VEP oscillation solutions to the solar neutrino problem
We study the solar neutrino problem within the framework of a parametrized
post-Newtonian formulation for the gravitational interaction of the neutrinos,
which incorporates a violation to the equivalence principle (VEP). Using the
current data on the rates and the energy spectrum we find two possible
oscillation solutions, both for a large mixing angle. One of them involves the
MSW effect in matter and the other corresponds to vacuum oscillations. An
interesting characteristic of this mechanism is that it predicts a semi-annual
variation of the neutrino flux. Our analysis provides new constraints for some
VEP parameters.Comment: revtex, 18 pages, 11 figure
More Straightforward Extraction of the Fundamental Lepton Mixing Parameters from Long-Baseline Neutrino Oscillations
We point out the simple reversibility between the fundamental neutrino mixing
parameters in vacuum and their effective counterparts in matter. The former can
therefore be expressed in terms of the latter, allowing more straightforward
extraction of the genuine lepton mixing quantities from a variety of
long-baseline neutrino oscillation experiments. In addition to the
parametrization-independent results, we present the formulas based on the
standard parametrization of the lepton flavor mixing matrix and give a typical
numerical illustration.Comment: RevTex 10 pages. Minor changes. Phys. Rev. D in printin
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