Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations

Naumov, Vadim A.; Shkirmanov, Dmitry S.

doi:10.1142/s0217732315501102

Cited by 11 publications

(13 citation statements)

References 50 publications

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“…Neither of these approaches has an advantage of explicit Lorentz invariance, although covariant generalization of the Gaussian wave packets seems to be feasible [80,81].…”

Section: Jhep03(2017)049 7 Summary and Outlookmentioning

confidence: 99%

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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“…Neither of these approaches has an advantage of explicit Lorentz invariance, although covariant generalization of the Gaussian wave packets seems to be feasible [80,81].…”

Section: Jhep03(2017)049 7 Summary and Outlookmentioning

confidence: 99%

Scattering of wave packets with phases

Karlovets

2017

J. High Energ. Phys.

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“…A simple example is discussed in Ref. [30] within the so-called contracted relativistic Gaussian packet (CRGP) model [33,34]. It is in particular shown that σ eff is defined through the transverse (with respect to the neutrino propagation direction l) components of the inverse overlap tensors which determine the effective space-time overlap volumes of the WP states in the vertices of the macrodiagram.…”

Section: A Sketch Of the Qft Approachmentioning

confidence: 99%

Inverse-square law violation and reactor antineutrino anomaly

Naumov¹,

Naumov²,

Shkirmanov³

2017

Phys. Part. Nuclei

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We discuss a possibility that the so-called reactor antineutrino anomaly can be, at least in part, explained by applying a quantum field-theoretical approach to neutrino oscillations, which in particular predicts a small deviation from the classical inverse-square law at short but macroscopic distances between the neutrino source and detector. An extensive statistical analysis of the reactor data is performed to examine this speculation.

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“…The key ingredient of the formalism are covariant wave packets used to describe the quantum states of the initial and final particles involved in the neutrino production and detection processes. Many studies have been devoted to the development of this aspect of the theory (see, e.g., [152][153][154][155][156][157] and references therein), which extends well beyond the narrow topic of neutrino oscillations.…”

Section: Why Quantum Field Theory?mentioning

confidence: 99%

Reactor Antineutrino Anomaly Reanalysis in Context of Inverse-Square Law Violation

Naumov

Shkirmanov

2021

Universe

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We discuss a possibility that the so-called reactor antineutrino anomaly (RAA), which is a deficit of the ν¯e rates in the reactor experiments in comparison to the theoretical expectations, can at least in part be explained by applying a quantum field-theoretical approach to neutrino oscillations, which in particular predicts a small deviation from the classical inverse-square law at short (but still macroscopic) distances between the neutrino source and detector. An extensive statistical analysis of the current reactor data on the integrated ν¯e event rates vs. baseline is performed to examine this speculation. The obtained results are applied to study another long-standing puzzle—gallium neutrino anomaly (GNA), which is a missing νe flux from 37Ar and 51Cr electron-capture decays as measured by the gallium–germanium solar neutrino detectors GALLEX and SAGE.

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Covariant asymmetric wave packet for a field-theoretical description of neutrino oscillations

Cited by 11 publications

References 50 publications

Scattering of wave packets with phases

Scattering of wave packets with phases

Inverse-square law violation and reactor antineutrino anomaly

Reactor Antineutrino Anomaly Reanalysis in Context of Inverse-Square Law Violation

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