Neutrino wave function and oscillation suppression

Dolgov, A. D.; Lychkovskiy, Oleg; Mamonov, A.A.; Okun, L.B.; Schepkin, M.

doi:10.1140/epjc/s2005-02369-7

Cited by 15 publications

(24 citation statements)

References 6 publications

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“…In 1976, the wave-packet nature of propagating neutrinos was proposed [13]. A wave-packet description is expected to be more general and appropriate for a complete understanding of neutrino oscillations [14,15,16,17,6,8,9]. Nevertheless, there are also arguments against the wave-packet treatment.…”

mentioning

confidence: 99%

Wave-packet treatment of reactor neutrino oscillation experiments and its implications on determining the neutrino mass hierarchy

et al. 2016

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We derive the neutrino flavor transition probabilities with the neutrino treated as a wave packet. The decoherence and dispersion effects from the wave-packet treatment show up as damping and phase-shifting of the plane-wave neutrino oscillation patterns. If the energy uncertainty in the initial neutrino wave packet is larger than around 0.01 of the neutrino energy, the decoherence and dispersion effects would degrade the sensitivity of reactor neutrino experiments to mass hierarchy measurement to lower than 3 σ confidence level.

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confidence: 99%

Wave-packet treatment of reactor neutrino oscillation experiments and its implications on determining the neutrino mass hierarchy

et al. 2016

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“…The analysis in [16,17,20,23,25,26,50] (typically with Gaussian wave packets) clarifies that neutrino wave-packets evolve semiclassically, the center moves as the front of a plane wave with the group velocity and is modulated by a Gaussian envelope which spreads through dispersion. Wave packets associated with the different mass eigenstates separate as they evolve with slightly different group velocities and when their separation becomes of the order of or larger than the width of the wave packet the overlap vanishes and oscillations are suppressed, typically exponentially in the ratio L 2 /L 2 coh where L coh ≃ σ E 2 ν /δm 2 and σ is the spatial localization scale of the wave packet.…”

Section: Comments On Wave Packetsmentioning

confidence: 96%

Short baseline neutrino oscillations: When entanglement suppresses coherence

Boyanovsky

2011

Phys. Rev. D

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For neutrino oscillations to take place the entangled quantum state of a neutrino and a charged lepton produced via charged current interactions must be disentangled. Implementing a nonperturbative Wigner-Weisskopf method we obtain the correct entangled quantum state of neutrinos and charged leptons from the (two-body) decay of a parent particle. The source lifetime and disentanglement length scale lead to a suppression of the oscillation probabilities in short-baseline experiments. The suppression is determined by π L s /L osc where L s is the smallest of the decay length of the parent particle or the disentanglement length scale. For L s ≥ L osc coherence and oscillations are suppressed. These effects are more prominent in short base line experiments and at low neutrino energy. We obtain the corrections to the appearance and disappearance probabilities modified by both the lifetime of the source and the disentanglement scale and discuss their implications for accelerator and reactor experiments. These effects imply that fits to the experimental data based on the usual quantum mechanical formulation underestimate sin 2 (2θ) and δm 2 , and are more dramatic for δm 2 ≃ eV 2 , the mass range for new generations of sterile neutrinos that could explain the short-baseline anomalies and long disentanglement length scales.

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“…As has been argued in the literature [86][87][88][89][90][91][92][93], wave packet localization may be an important ingredient in the description of neutrino oscillations. The localization length both of the production and detection regions define momentum uncertainties that are important in the conceptual understanding of the interference phenomena.…”

Section: B Wave Packetsmentioning

confidence: 99%

“…The typical analysis of neutrino oscillations in terms of (Gaussian) wave packets [86][87][88][89][90][91][92][93] clarifies that neutrino wave-packets evolve semiclassically, the center moves as the front of a plane wave with the group velocity and is modulated by a Gaussian envelope which spreads via dispersion. Wave packets associated with the different mass eigenstates separate as they evolve with slightly different group velocities and, when their separation becomes of the order of or larger than the width of the wave packet, the overlap vanishes and oscillations…”

Section: B Wave Packetsmentioning

confidence: 99%

Searching for sterile neutrinos fromπandKdecays

Lello

Boyanovsky

2013

Phys. Rev. D

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The production of heavy sterile neutrinos from π − , K − decay at rest yields charged leptons with negative helicity (positive for π + , K + ). We obtain the branching ratio for this process and argue that a Stern-Gerlach filter with a magnetic field gradient leads to spatially separated domains of both helicity components with abundances determined by the branching ratio. Complemented with a search of the monochromatic peak, this setup can yield both the mass and mixing angles for sterile neutrinos with masses in the range 3 MeV m s 414 MeV in next generation high intensity experiments. We also study oscillations of light Dirac and Majorana sterile neutrinos with m s ≃ eV produced in meson decays including decoherence aspects arising from lifetime effects of the decaying mesons and the stopping distance of the charged lepton in short baseline experiments. We obtain the transition probability from production to detection via charged current interactions including these decoherence effects for 3 + 1 and 3 + 2 scenarios, also studying |∆L| = 2 transitions from ν ↔ ν oscillations for Majorana neutrinos and the impact of these effects on the determination of CP-violating amplitudes. We argue that decoherence effects are important in current short baseline accelerator experiments, leading to an underestimate of masses, mixing and CP-violating angles. At MiniBooNE/SciBooNE we estimate that these effects lead to an ∼ 15% underestimate for sterile neutrino masses m s 3 eV. We argue that reactor and current short baseline accelerator experiments are fundamentally different and suggest that in future high intensity experiments with neutrinos produced from π, K decay at rest, stopping the charged leptons on distances much smaller than the decay length of the parent meson suppresses considerably these decoherence effects.

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Neutrino wave function and oscillation suppression

Cited by 15 publications

References 6 publications

Wave-packet treatment of reactor neutrino oscillation experiments and its implications on determining the neutrino mass hierarchy

Wave-packet treatment of reactor neutrino oscillation experiments and its implications on determining the neutrino mass hierarchy

Short baseline neutrino oscillations: When entanglement suppresses coherence

Searching for sterile neutrinos fromπandKdecays

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