663 research outputs found
On the evolution of an entangled lepton-neutrino pair
The evolution of the entangled muon-neutrino system emerging from charged
pion decay is explored both in vacuum and in matter. The study is based on a
Weisskopf-Wigner type wave-packet description. Explicit formulae are derived
displaying modulation and attenuation of the oscillations due to additional
time scales characterising the production process. The case of neutrinos
disentangled due to the detection of the muon is also considered
Exotic smooth structures on 4-manifolds with zero signature
For every integer , we construct infinite families of mutually
nondiffeomorphic irreducible smooth structures on the topological -manifolds
and (2k-1)(\CP#\CPb), the connected sums of
copies of and \CP#\CPb.Comment: 6 page
Beta decay and other processes in strong electromagnetic fields
We consider effects of the fields of strong electromagnetic waves on various
characteristics of quantum processes. After a qualitative discussion of the
effects of external fields on the energy spectra and angular distributions of
the final-state particles as well as on the total probabilities of the
processes (such as decay rates and total cross sections), we present a simple
method of calculating the total probabilities of processes with production of
non-relativistic charged particles. Using nuclear beta-decay as an example, we
study the weak and strong field limits, as well as the field-induced beta-decay
of nuclei stable in the absence of the external fields, both in the tunneling
and multi-photon regimes. We also consider the possibility of accelerating
forbidden nuclear beta-decays by lifting the forbiddeness due to the
interaction of the parent or daughter nuclei with the field of a strong
electromagnetic wave. It is shown that for currently attainable electromagnetic
fields all effects on total beta-decay rates are unobservably small.Comment: LaTeX, 30 pages, 2 figures. Invited contribution to the special issue
of Yadernaya Fizika dedicated to the centennial anniversary of birthday of
A.B. Migdal. V2: references adde
The MSW effect and Matter Effects in Neutrino Oscillations
The MSW (Mikheyev-Smirnov-Wolfenstein) effect is the adiabatic or partially
adiabatic neutrino flavor conversion in medium with varying density. The main
notions related to the effect, its dynamics and physical picture are reviewed.
The large mixing MSW effect is realized inside the Sun providing the solution
of the solar neutrino problem. The small mixing MSW effect driven by the 1-3
mixing can be realized for the supernova (SN) neutrinos. Inside the collapsing
stars new elements of the MSW dynamics may show up: the non-oscillatory
transition, non-adiabatic conversion, time dependent adiabaticity violation
induced by shock waves. Effects of the resonance enhancement and the parametric
enhancement of oscillations can be realized for the atmospheric and accelerator
neutrinos in the Earth. Precise results for neutrino oscillations in the low
density medium with arbitrary density profile are presented and the attenuation
effect is described. The area of applications is the solar and SN neutrinos
inside the Earth, and the results are crucial for the neutrino oscillation
tomography.Comment: 18 pages, latex, 6 figures, talk given at the Nobel Symposium 129,
``Neutrino Physics'', Haga Slott, August 19 - 24, 200
Neutrino oscillations: Entanglement, energy-momentum conservation and QFT
We consider several subtle aspects of the theory of neutrino oscillations
which have been under discussion recently. We show that the -matrix
formalism of quantum field theory can adequately describe neutrino oscillations
if correct physics conditions are imposed. This includes space-time
localization of the neutrino production and detection processes. Space-time
diagrams are introduced, which characterize this localization and illustrate
the coherence issues of neutrino oscillations. We discuss two approaches to
calculations of the transition amplitudes, which allow different physics
interpretations: (i) using configuration-space wave packets for the involved
particles, which leads to approximate conservation laws for their mean energies
and momenta; (ii) calculating first a plane-wave amplitude of the process,
which exhibits exact energy-momentum conservation, and then convoluting it with
the momentum-space wave packets of the involved particles. We show that these
two approaches are equivalent. Kinematic entanglement (which is invoked to
ensure exact energy-momentum conservation in neutrino oscillations) and
subsequent disentanglement of the neutrinos and recoiling states are in fact
irrelevant when the wave packets are considered. We demonstrate that the
contribution of the recoil particle to the oscillation phase is negligible
provided that the coherence conditions for neutrino production and detection
are satisfied. Unlike in the previous situation, the phases of both neutrinos
from decay are important, leading to a realization of the
Einstein-Podolsky-Rosen paradox.Comment: 30 pages, 3 eps figures; presentation improved, clarifications added.
To the memory of G.T. Zatsepi
Supernova prompt neutronization neutrinos and neutrino magnetic moments
It is shown that the combined action of spin-flavor conversions of supernova
neutrinos due to the interactions of their Majorana-type transition magnetic
moments with the supernova magnetic fields and flavor conversions due to the
mass mixing can lead to the transformation of \nu_e born in the neutronization
process into their antiparticles \bar{\nu}_e. Such an effect would have a clear
experimental signature and its observation would be a smoking gun evidence for
the neutrino transition magnetic moments. It would also signify the leptonic
mixing parameter |U_{e3}| in excess of 10^{-2}.Comment: LaTex, 25 pages, 3 figures. v4: Discussion section expanded,
references added. Matches the published versio
Casimir effect for massless minimally coupled scalar field between parallel plates in de Sitter spacetime
Casimir effect for massless minimally coupled scalar field is studied. An
explicit answer for de Sitter spacetime is obtained and analized. Cosmological
implications of the result are discussed.Comment: 7 pages, 2 figure
DISTRIBUTION OF ELEMENTS IN THE SOILS OF THE ZERAVSHAN VALLEY
Annotation
The article discusses the results of studying the macro- and microelement composition of the soils of the cities of Samarkand, Navoi, Bukhara and agricultural areas of these regions. It has been established that, in the soils of agricultural areas, due to the influence of two mutually imposing factors - natural and man-made (fertilizers), there is a noticeable change in the ratio of elements and groups of rare earth elements. In the literature, data on the elemental composition of the soils of the studied territories are practically absent
A diagrammatic treatment of neutrino oscillations
We present a covariant wave-packet approach to neutrino flavor transitions in
vacuum. The approach is based on the technique of macroscopic Feynman diagrams
describing the lepton number violating processes of production and absorption
of virtual massive neutrinos at the macroscopically separated space-time
regions ("source" and "detector"). Accordingly, the flavor transitions are a
result of interference of the diagrams with neutrinos of different masses in
the intermediate states. The statistically averaged probability of the process
is representable as a multidimensional integral of the product of the factors
which describe the differential flux density of massless neutrinos from the
source, differential cross section of the neutrino interaction with the
detector and a dimensionless factor responsible for the flavor transition. The
conditions are analyzed under which the last factor can be treated as the
flavor transition probability in the usual quantum-mechanical sense.Comment: 27 pages,7 figures, iopart class. Includes minor corrections made in
proofs. References update
Black Hole Motion in Entropic Reformulation of General Relativity
We consider a system of black holes -- a simplest substitute of a system of
point particles in the mechanics of general relativity -- and try to describe
their motion with the help of entropic action: a sum of the areas of black hole
horizons. We demonstrate that such description is indeed consistent with the
Newton's laws of motion and gravity, modulo numerical coefficients, which
coincide but seem different from unity. Since a large part of the modern
discussion of entropic reformulation of general relativity is actually based on
dimensional considerations, for making a next step it is crucially important to
modify the argument, so that these dimensionless parameters acquire correct
values.Comment: 6 page
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