1,561 research outputs found
Topological phase in two flavor neutrino oscillations
We show that the phase appearing in neutrino flavor oscillation formulae has
a geometric and topological contribution. We identify a topological phase
appearing in the two flavor neutrino oscillation formula using Pancharatnam's
prescription of quantum collapses between non-orthogonal states. Such quantum
collapses appear naturally in the expression for appearance and survival
probabilities of neutrinos. Our analysis applies to neutrinos propagating in
vacuum or through matter. For the minimal case of two flavors with CP
conservation, our study shows for the first time that there is a geometric
interpretation of the neutrino oscillation formulae for the detection
probability of neutrino species.Comment: 11 pages, 3 figures, accepted in Phys. Rev.
Prompt muon contribution to the flux underwater
We present high energy spectra and zenith-angle distributions of the
atmospheric muons computed for the depths of the locations of the underwater
neutrino telescopes. We compare the calculations with the data obtained in the
Baikal and the AMANDA muon experiments. The prompt muon contribution to the
muon flux underwater due to recent perturbative QCD-based models of the charm
production is expected to be observable at depths of the large underwater
neutrino telescopes. This appears to be probable even at rather shallow depths
(1-2 km), provided that the energy threshold for muon detection is raised above
TeV.Comment: 7 pages, RevTeX, 7 eps figures, final version to be published in
Phys.Rev.D; a few changes made in the text and the figures, an approximation
formula for muon spectra at the sea level, the muon zenith-angle distribution
table data and references adde
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