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A wrong derivation of the phase of a propagating massive particle which has repeatedly appeared during the last years has the advantage of leading once more to the important question of the phase difference between the mass eigenstates…

High Energy Physics - Phenomenology · Physics 2009-01-06 Jean-Michel Levy

We show that the neutrino oscillation formula recently derived in the quantum field theory framework holds true despite the arbitrariness in the mass parameter for the flavor fields. This formula is exact and exhibits new features with…

High Energy Physics - Phenomenology · Physics 2009-12-30 Massimo Blasone , Giuseppe Vitiello

It is shown that the derivation of standard oscillation phase in the plane wave approximation without equal energy assumption is fraught with inconsistencies.

High Energy Physics - Phenomenology · Physics 2007-05-23 L. B Okun , M. V. Rotaev , M. G. Schepkin , I. S. Tsukerman

The plane-wave approximation is widely used in the practical calculations concerning neutrino oscillations. A simple derivation of this approximation starting from the neutrino wave-packet framework is presented.

High Energy Physics - Phenomenology · Physics 2010-04-21 Oleg Lychkovskiy

By resorting to recent results on the relativistic currents for mixed (flavor) fields, we calculate a space-time dependent neutrino oscillation formula in Quantum Field Theory. Our formulation provides an alternative to existing approaches…

High Energy Physics - Phenomenology · Physics 2008-11-26 Massimo Blasone , Paulo Pires Pacheco , Hok Wan Chan Tseung

A description of neutrino oscillation phenomena is presented which is based on relativistic quantum mechanics and includes both entangled state and source dependent aspects, unlike both of the conventional approaches which use either equal…

High Energy Physics - Phenomenology · Physics 2010-11-15 T. Goldman

Neutrino oscillation is discussed with emphases placed more on its conceptual aspects. After reviewing the two conventional formulations, referred to here as the same-energy prescription and the same-momentum prescription, wave packet…

High Energy Physics - Phenomenology · Physics 2007-05-23 Y. Takeuchi , Y. Tazaki , S. Y. Tsai , T. Yamazaki

We review critically the main assumptions on which the standard theory of neutrino oscillations is based. We show that all assumptions are realistic, except the so-called "equal momentum assumption", which however is irrelevant. We briefly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carlo Giunti

We show that, despite appearances, a theoretical approach to neutrino oscillation in which the neutrino and its interaction partners are entangled yields the standard result for the neutrino oscillation wavelength. We also shed some light…

High Energy Physics - Phenomenology · Physics 2010-11-05 Boris Kayser , Joachim Kopp , R. G. Hamish Robertson , Petr Vogel

The phenomenology of massive neutrinos -- flavour mixing in the lepton sector causing oscillations between different neutrino-types along their propagation over macroscopic distances in vacuum -- aims at relating observable quantities…

High Energy Physics - Phenomenology · Physics 2020-12-11 Winfried A. Mitaroff

The data supporting neutrino oscillations are reexamined empirically, ignoring the phase space of the usual theory. An absolutely minimum description can be constructed easily without assuming oscillations. An empirical fit to a simplified…

General Physics · Physics 2007-05-23 John Michael Williams

In this paper, we consider the problem of quantum measurement of neutrino velocity. We show, that the well known neutrino flavor oscillations are always accompanied by the oscillations of neutrino velocity. In particular, the velocity of a…

High Energy Physics - Phenomenology · Physics 2015-04-02 Branislav Sazdović , Milovan Vasilić

The standard formula for mass oscillations is often based upon the approximation $t \approx L$ and the hypotheses that neutrinos have been produced with a definite momentum $p$ or, alternatively, with definite energy $E$. This represents an…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stefano De Leo , Gisele Ducati , Pietro Rotelli

We present a model of neutrino oscillations in the framework of quantum field theory in which the propagating neutrino and the particles participating to the production and detection processes are described by wave packets. The neutrino…

High Energy Physics - Phenomenology · Physics 2011-07-18 C. Giunti

Kinematical relativistic effects are analyzed within the plane-wave impulse approximation for outgoing nucleon polarized responses in coincidence electron scattering. Following recent approaches for non-relativistic reductions of the…

Nuclear Theory · Physics 2016-08-16 M. C. Martínez , J. A. Caballero , T. W. Donnelly

Analytic formulas are presented for three flavor neutrino oscillations in matter in the plane wave approximation. We calculate in particular the time evolution operator in both mass and flavor bases. We also find the transition…

High Energy Physics - Phenomenology · Physics 2009-10-31 Tommy Ohlsson , Hakan Snellman

We show that all correct results obtained by applying quantum field theory to neutrino oscillations can be understood in terms of a single oscillation formula. In particular, the model proposed by Grimus and Stockinger is shown to be a…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Beuthe

An improved treatment of neutrino oscillations follows when neutrino mass eigenstates and their associated recoiling particle states are entangled. When the neutrino and its recoil partner are treated as a single entangled quantum state the…

High Energy Physics - Phenomenology · Physics 2015-02-03 R. G. Hamish Robertson

We study the oscillations and conversions of relativistic neutrinos propagating in matter of variable density using the wave packet formalism. We show how the oscillation and coherence lengths are modified in comparison with the case of…

High Energy Physics - Phenomenology · Physics 2011-07-19 J. T. Peltoniemi , V. Sipilainen

We present a new derivation of the expressions for momentum and energy of a relativistic particle. In contrast to the procedures commonly adopted in textbooks, the one suggested here requires only the knowledge of the composition law for…

Classical Physics · Physics 2009-11-10 Sebastiano Sonego , Massimo Pin
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