scholarly journals Parametric enhancement of flavor oscillation in a three-neutrino framework

2014 ◽  
Vol 90 (6) ◽  
Author(s):  
Kara M. Merfeld ◽  
David C. Latimer
Keyword(s):  
Flavor Oscillation

scholarly journals CAN GENERAL RELATIVISTIC DESCRIPTION OF GRAVITATION BE CONSIDERED COMPLETE?

1998 ◽  
Vol 13 (17) ◽  
pp. 1393-1400 ◽  
Author(s):  
D. V. AHLUWALIA
Keyword(s):  
Solar System ◽  
Gravitational Potential ◽  
Invariance Properties ◽  
Planetary Orbits ◽  
Galactic Cluster ◽  
General Relativistic ◽  
Relativistic Description ◽  
Flavor Oscillation ◽  
Weak Fields ◽  
Great Attractor

The local galactic cluster, the Great attractor, embeds us in a dimensionless gravitational potential of about -3×10-5. In the solar system, this potential is constant to about 1 part in 1011. Consequently, planetary orbits, which are determined by the gradient in the gravitational potential, remain unaffected. However, this is not so for the recently introduced flavor-oscillation clocks where the new redshift-inducing phases depend on the gravitational potential itself. On these grounds, and by studying the invariance properties of the gravitational phenomenon in the weak fields, we argue that there exists an element of incompleteness in the general relativistic description of gravitation. An incompleteness-establishing inequality is derived and an experiment is outlined to test the thesis presented.

scholarly journals COVARIANT WIGNER FUNCTION APPROACH TO THE BOLTZMANN EQUATION FOR MIXING FERMIONS IN CURVED SPACE–TIME

2003 ◽  
Vol 18 (24) ◽  
pp. 4469-4484 ◽  
Author(s):  
KAZUHIRO YAMAMOTO
Keyword(s):  
Boltzmann Equation ◽  
Wigner Function ◽  
Gravitational Effect ◽  
Space Time ◽  
Function Approach ◽  
Order Effects ◽  
Relativistic Limit ◽  
Curved Space ◽  
The Boltzmann Equation ◽  
Flavor Oscillation

Based on the covariant Wigner function approach we derive the quantum Boltzmann equation for fermions with flavor mixing in general curved space–time. This work gives a rigorous theoretical framework to investigate the flavor oscillation phenomena taking the gravitational effect into account. It is shown that the Boltzmann equation of the lowest order of the expansion with respect to ℏ reproduces the previous result which was derived in the relativistic limit on the Minkowski background space–time. It is demonstrated that the familiar formula for the vacuum neutrino oscillation can be obtained by solving the Boltzmann equation. Higher order effects of the ℏ-expansion are also briefly discussed.

scholarly journals Dynamic fast flavor oscillation waves in dense neutrino gases

2020 ◽  
Vol 800 ◽  
pp. 135088 ◽  
Author(s):  
Joshua D. Martin ◽  
Changhao Yi ◽  
Huaiyu Duan
Keyword(s):  
Flavor Oscillation

scholarly journals Constraints onθ13from a three-flavor oscillation analysis of reactor antineutrinos at KamLAND

2011 ◽  
Vol 83 (5) ◽  
Author(s):  
A. Gando ◽  
Y. Gando ◽  
K. Ichimura ◽  
H. Ikeda ◽  
K. Inoue ◽  
...  
Keyword(s):  
Oscillation Analysis ◽  
Flavor Oscillation

scholarly journals ON A QUANTUM EQUIVALENCE PRINCIPLE

1999 ◽  
Vol 14 (04) ◽  
pp. 275-288 ◽  
Author(s):  
A. CAMACHO
Keyword(s):  
Wave Function ◽  
Quantum Theory ◽  
Path Integral ◽  
Free Particle ◽  
Point Of View ◽  
Minimal Coupling ◽  
Measuring Device ◽  
Coupling Principle ◽  
General Relativistic ◽  
Flavor Oscillation

The logical consistency of a description of quantum theory in the context of general relativity, which includes minimal coupling principle, is analyzed from the point of view of Feynman's formulation in terms of path integrals. We will argue from this standpoint and use an argument that claims the incompleteness of the general relativistic description of gravitation, which emerges as a consequence of the gravitationally induced phases of the so-called flavor-oscillation clocks, that the postulates of quantum theory are logically incompatible with the usual minimal coupling principle. It will be shown that this inconsistency could emerge from the fact that the required geometrical information to calculate the probability of finding a particle at any point of the respective manifold does not lie in a region with finite volume. Then we put forth a new quantum minimal coupling principle in terms of a restricted path integral, and along the ideas of this model not only the propagator of a free particle is calculated but also the conditions under which we recover Feynman's case for a free particle are deduced. The effect on diatomic interstellar molecules is also calculated. The already existing relation between restricted path integral formalism and decoherence model will enable us to connect the issue of a quantum minimal coupling principle with the collapse of the wave function. From this last remark we will claim that the geometrical structure of the involved manifold acts as, always present, a measuring device on a quantum particle. In other words, in this proposal we connect the issue of a quantum minimal coupling principle with a claim which states that gravity could be one of the physical entities which results in the collapse of the wave function.

scholarly journals Accelerator, Reactor and Atmospheric Neutrino Data: A Three-Flavor Oscillation Analysis

1997 ◽  
Vol 12 (04) ◽  
pp. 781-799 ◽  
Author(s):  
Srubabati Goswami ◽  
Amitava Raychaudhuri ◽  
Kamales Kar
Keyword(s):  
Experimental Data ◽  
Narrow Range ◽  
Atmospheric Neutrino ◽  
Mass Scale ◽  
Atmospheric Neutrinos ◽  
Mixing Angles ◽  
Oscillation Analysis ◽  
Reactor Neutrinos ◽  
Flavor Oscillation ◽  
Interesting Solution

We perform a three-flavor oscillation analysis of accelerator, reactor and atmospheric neutrino results. Motivated by the experimental data, the mass squared differences are chosen to be Δ12 = Δ13 in the range 0.5–10 eV2 and Δ23 = 10-2 eV2. In such a scenario, the oscillation probabilities for the accelerator and reactor neutrinos involve only two of the mixing angles and one mass scale. But the atmospheric neutrino oscillation is governed by both mass scales and all the three mixing angles. The greater latitude allowed by the scheme leads to some new and interesting solution regions for atmospheric neutrinos in addition to the two-flavor limits usually discussed. However, incorporating the constraints from the previous accelerator searches for neutrino oscillations, a very narrow range of allowed mixing angles survives. This zone is beyond the reach of the on-going accelerator experiments CHORUS and NOMAD with their projected sensitivity.

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