Paradoxes of neutrino oscillations

Akhmedov, Evgeny Kh.; Smirnov, A. Yu.

doi:10.1134/s1063778809080122

Cited by 151 publications

(181 citation statements)

References 32 publications

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“…It is beams' finite sizes that provide natural regularization of the divergence. The next illustration is neutrino oscillations -a phenomenon that is intrinsically spatially and temporarily localized [4][5][6].…”

Section: Non-plane-wave Statesmentioning

confidence: 99%

“…A consistent relativistic scattering theory beyond the plane-wave approximation is absent by now, even though a number of non-plane-wave solutions for relativistic wave equations have long been known [34] and specific calculations were made [1][2][3][4][5][6]. For vortex beams, a corresponding ad hoc formalism has been recently developed by Ivanov and Serbo [27,28].…”

Section: Non-plane-wave Statesmentioning

confidence: 99%

“…In this case the measure dn f may also include discrete variables such as the OAM. A need for spatial-and temporal localization of the detected states appears, for instance, in the theory of neutrino oscillations [4][5][6] or in QED calculations with the twisted photons [25,26].…”

Section: Jhep03(2017)049mentioning

confidence: 99%

“…[68]). This implies the so-called "time-to-space conversion" 4 [4], T = V 1/3 /(2|∆u|). One can avoid these (purely technical) subtleties by dealing with the cross section (2.4) instead, which is obtained by dividing (4.9) by the luminosity.…”

Section: Jhep03(2017)049mentioning

confidence: 99%

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Scattering of wave packets with phases

Karlovets

2017

J. High Energ. Phys.

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A general problem of 2 → N f scattering is addressed with all the states being wave packets with arbitrary phases. Depending on these phases, one deals with coherent states in (3 + 1) D, vortex particles with orbital angular momentum, the Airy beams, and their generalizations. A method is developed in which a number of events represents a functional of the Wigner functions of such states. Using width of a packet σ p / p as a small parameter, the Wigner functions, the number of events, and a cross section are represented as power series in this parameter, the first non-vanishing corrections to their plane-wave expressions are derived, and generalizations for beams are made. Although in this regime the Wigner functions turn out to be everywhere positive, the cross section develops new specifically quantum features, inaccessible in the plane-wave approximation. Among them is dependence on an impact parameter between the beams, on phases of the incoming states, and on a phase of the scattering amplitude. A model-independent analysis of these effects is made. Two ways of measuring how a Coulomb phase and a hadronic one change with a transferred momentum t are discussed.

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Section: Non-plane-wave Statesmentioning

confidence: 99%

Section: Non-plane-wave Statesmentioning

confidence: 99%

Section: Jhep03(2017)049mentioning

confidence: 99%

Section: Jhep03(2017)049mentioning

confidence: 99%

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Scattering of wave packets with phases

Karlovets

2017

J. High Energ. Phys.

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“…However, it is known that its usual derivation, which proceeds via Taylor expansion of the phases of neutrino mass eigenstates in the plane-wave basis, contains several theoretical inconsistencies and assumptions that are not realized in any experiment. Attempts to fix these inconsistencies have involved the introduction of internal wavepackets [3][4][5], the replacement of internal wave packets with external ones [6,7], field theoretical reformulations [7][8][9], and discussions of the role of the entangled muon in maintaining or suppressing coherence [8,[10][11][12][13][14]. Many of these approaches turn a poorly formulated quantum mechanical problem into a theoretically robust calculation, but often at the cost of introducing arbitrary spatial or temporal scales.…”

Section: Introductionmentioning

confidence: 99%

Dynamical pion collapse and the coherence of conventional neutrino beams

Jones

2015

Phys. Rev. D

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In this paper we consider the coherence properties of neutrinos produced by the decays of pions in conventional neutrino beams. Using a multi-particle density matrix formalism we derive the oscillation probability for neutrinos emitted by a decaying pion in an arbitrary quantum state. Then, using methods from decoherence theory we calculate the pion state which evolves through interaction with decay-pipe gases in a typical accelerator neutrino experiment. These two ingredients are used to obtain the distance scales for neutrino beam coherence loss. We find that for the known neutrino mass splittings, no non-standard oscillation effects are expected on terrestrial baselines. Heavy sterile neutrinos may experience terrestrial loss of coherence, and we calculate both the distance over which this occurs and the energy resolution required to observe the effect. By treating the pionmuon-neutrino-environment system quantum mechanically, neutrino beam coherence properties are obtained without assuming arbitrary spatial or temporal scales at the neutrino production vertex.

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Quantum flavor oscillations extended to the Dirac theory

Bernardini

Guzzo²,

Nishi

2011

Fortschritte der Physik

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This report deals with the quantum theory of flavor oscillations in vacuum, extended to fermionic particles in the several subtle aspects of the first and second quantization theories. In this scenario, the use of the Dirac equation is required for a satisfactory evolution of fermionic mass-eigenstates since in the standard treatment of oscillations the mass-eigenstates are implicitly assumed to be scalars and, consequently, the spinorial form of neutrino wave functions is not included in the calculations. Within first quantized theories, besides flavor oscillations, chiral oscillations automatically appear when we set the dynamic equations for a fermionic Dirac-type particle. The left-handed chiral nature of created and detected neutrinos can be implemented in the first quantized Dirac theory in presence of mixing; the probability loss due to the changing of initially left-handed neutrinos to the undetected right-handed neutrinos can be obtained in analytic form. In the context of a causal relativistic theory of a free particle, one of the two effects should be present in flavor oscillations: (a) rapid oscillations or (b) initial flavor violation. Concerning second quantized approaches, a simple second quantized treatment exhibits a tiny but inevitable initial flavor violation without the possibility of rapid oscillations. Such effect is a consequence of an intrinsically indefinite but approximately well defined neutrino flavor. The violation effects are shown to be much larger than loop induced lepton flavor violation processes, already present in the standard model in the presence of massive neutrinos with mixing. The conclusions of this report lead to lessons concerning flavor mixing, chiral oscillations, interference between positive and negative frequency components of Dirac equation solutions, and the field formulation of quantum oscillations.Comment: 116 pages, 10 figures (The abstract was suppressed due to online title limitations of the abstract field. See the manuscript for obtaining the complete abstract

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Paradoxes of neutrino oscillations

Cited by 151 publications

References 32 publications

Scattering of wave packets with phases

Scattering of wave packets with phases

Dynamical pion collapse and the coherence of conventional neutrino beams

Quantum flavor oscillations extended to the Dirac theory

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