Do muons oscillate?

Dolgov, A. D.; Морозов, А.; Okun, L.B.; Schepkin, M.

doi:10.1016/s0550-3213(97)80768-7

Cited by 38 publications

(70 citation statements)

References 24 publications

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“…In quantum theory propagating particles must be described by moving wave packets (see, e.g., [19]). Let us recall the main features of this approach [20][21][22][23][24][25][26][27][28][29][30].…”

Section: Wave-packets Approach To Neutrino Oscillationsmentioning

confidence: 99%

Paradoxes of neutrino oscillations

2009

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Abstract-Despite the theory of neutrino oscillations being rather old, some of its basic issues are still being debated in the literature. We discuss a number of such issues, including the relevance of the "same energy" and "same momentum" assumptions, the role of quantum-mechanical uncertainty relations in neutrino oscillations, the dependence of the coherence and localization conditions that ensure the observability of neutrino oscillations on neutrino energy and momentum uncertainties, the question of (in)dependence of the oscillation probabilities on the neutrino production and detection processes, and the applicability limits of the stationary-source approximation. We also develop a novel approach to calculation of the oscillation probability in the wave-packet approach, based on the summation/integration conventions different from the standard one, which allows a new insight into the "same energy" vs. "same momentum" problem. We also discuss a number of apparently paradoxical features of the theory of neutrino oscillations.

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Section: Wave-packets Approach To Neutrino Oscillationsmentioning

confidence: 99%

Paradoxes of neutrino oscillations

2009

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“…The mass neutrino oscillation problem is connected basically to the phase difference between different mass-eigenstate, a property intimately related to the basic principles of quantum mechanics. In the standard treatment of the neutrino oscillation, the condition of same-energy (samemomentum) with different momenta (energies) of the mass-eigenstates is introduced [2,4,5,14,15,16], which arises the same practically applied massive neutrino oscillation phase, however it is indicated that the unambiguous theoretical description of the massive neutrino oscillation phase will be involved in the wave packet formalism and not in the plane wave approximation [17]. Further, it is shown that the same energy or same momentum description is just the arbitrariness of the choice of the Lorentz frame in which it is valid, nothing to do with the physical argument [18].…”

Section: Introductionmentioning

confidence: 99%

On the Mass Neutrino Phase Along the Geodesic Line and the Null Line in Curved and Flat Spacetime

Zhang

Беешам

2003

Int. J. Mod. Phys. D

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On the mass neutrino phase calculations along both the particle geodesic line and the photon null line, there exists a double counting, factor of 2, when comparing the geodesic phase with the null phase. Moreover, we compare the phase calculations among the same energy description, the same momentum description by means of the Minkowski diagram, and obtain the practical equivalence of these two descriptions. On the same velocity description, although it does not correspond to a reality of physical process, we still indicate its phase calculation in the Minkowski diagram, which has the same result as those of same energy and same momentum cases. Further, in the curved spacetime, we also prove the existence of the double counting of the geodesic phase to the null phase. Our conclusions are same as others' results by the different methods.

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“…[2] and those of refs. [5,8,9] is that, in the former, oscillations in the strangeness of the neutral kaon are predicted to give rise to oscillations in the Λs produced in association with the kaon. No such effect was predicted in refs.…”

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confidence: 99%

Oscillations of recoil particles against mixed states

et al. 1999

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Some consequences of the oscillations of neutral kaons and neutrinos are discussed, in particular, the possibility of oscillations of particles recoiling against kaons or neutrinos from the production process. We show that there are no stationary oscillations of these recoil particles in any order, and that the apparent long-wavelength oscillations, which might appear to result when an earlier treatment of ours was taken to higher order, are spurious. We show that the recoil particles may show a travelling interference pattern. It may be possible to observe this pattern for Λs produced in a reaction, but there seems to be little hope of observing this for the case of neutrinos from muon decay.

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Do muons oscillate?

Cited by 38 publications

References 24 publications

Paradoxes of neutrino oscillations

Paradoxes of neutrino oscillations

On the Mass Neutrino Phase Along the Geodesic Line and the Null Line in Curved and Flat Spacetime

Oscillations of recoil particles against mixed states

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