Notes on the Kinematic Structure of the Three-Flavor Neutrino Oscillation Framework

Ahluwalia, Dharam Vir

doi:10.1142/s0217751x97002711

Cited by 10 publications

(12 citation statements)

References 31 publications

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“…We also observe that in the scenario of different velocities, by assuming L 1 = L 2 = L, t 1 and t 2 could be significantly different, the extreme case is seen in [36,37], then there is no interference. The predictions of the equal velocity scenario is therefore dramatically different from the other scenarios in long baseline experiments.…”

Section: Discussionmentioning

confidence: 66%

Remarks Upon the Mass Oscillation Formulas

Ducat

Rotelli

2000

Mod. Phys. Lett. A

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The standard formula for mass oscillations is often based upon the approximation t ≈ L and the hypotheses that neutrinos have been produced with a definite momentum p or, alternatively, with definite energy E. This represents an inconsistent scenario and gives an unjustified reduction by a factor of two in the mass oscillation formulas. Such an ambiguity has been a matter of speculations and mistakes in discussing flavour oscillations. We present a series of results and show how the problem of the factor two in the oscillation length is not a consequence of gedanken experiments, i.e. oscillations in time. The common velocity scenario yields the maximum simplicity. PACS

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Section: Discussionmentioning

confidence: 66%

Remarks Upon the Mass Oscillation Formulas

Ducat

Rotelli

2000

Mod. Phys. Lett. A

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“…However, a more detailed calculation that uses the LSND-ν µ spectral function f νµ and a cut-off at 20 MeV yields a (see Ref. [8] for the notational details) O ′ 30 meters, ∆m 2 31 , E min = 20.0 MeV = 0.15. Fig.…”

Section: Analytical and Numerical Solutions For Neutrino-oscillation ...mentioning

confidence: 99%

“…in combination with the LSND result, P (ν µ → ν e ) ≃ 0.3 × 10 −2 , one arrives atP (ν µ → ν e ) = 0.3 × 10 −2 = 0.02 × sin 2 1.27 × ∆m 2 31 × 30 45 .This yields, ∆m 2 31 = 0.2 eV 2 . However, a more detailed calculation that uses the LSND-ν µ spectral function f νµ and a cut-off at 20 MeV yields a (see Ref [8]. for the notational details) O ′ 30 meters, ∆m 2 31 , E min = 20.0 MeV = 0.15.…”

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confidence: 99%

On Reconciling Atmospheric, Lsnd, and Solar Neutrino-Oscillation Data

Ahluwalia

1998

Mod. Phys. Lett. A

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The L/E-flatness of the e-like events observed in the recent atmospheric-neutrino data from Super-Kamiokande (SuperK) is interpreted to reflect a new symmetry of the neutrino-oscillation mixing matrix. From that we obtain an analytical set of constraints yielding a class of mixing matrices of the property to simultaneously fit both the Su-perK and the LSND data. The resulting mass squared difference relevant for the LSND experiment is found as 0.3 eV 2 . The discussed symmetry, e.g., carries the nature that expectation values of masses for νµ and ντ are identical. These considerations are purely data dictated. A different framework is then applied to the solar neutrino problem. It is argued that a single sterile neutrino is an unlikely candidate to accommodate the data from the four solar neutrino experiments. A scenario is discussed which violates CPT symmetry, and favors the νe-νe system to belong to the 'self'-'anti-self' charge conjugate construct in the (1/2, 0) ⊕ (0, 1/2) representation space, where the needed helicity flipping amplitudes are preferred, rather than the usual Dirac, or Majorana, constructs. In the presented framework the emerging SuperK data on solar neutrino flux is reconciled with the Homestake, GALLEX, and SAGE experiments. This happens because the former detects not only the solar νe but also, at a lower cross section, the oscillated solar νe; while the latter are sensitive only to the oscillation-diminished solar νe flux. A direct observation of solar νe by SNO will confirm our scenario. Finally, we consider the possibility for flavor-dependent gravitational couplings of neutrinos as emerging out of the noncommutativity of the quantum operators associated with the measurements of energy and flavor.

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“…The question of whether non-relativistic neutrinos can take part in neutrino oscillations has been discussed in refs. [4][5][6][7][8][9][10], with varying degree of detail and differing conclusions. In refs.…”

Section: Introductionmentioning

confidence: 99%

Do non-relativistic neutrinos oscillate?

Akhmedov

2017

J. High Energ. Phys.

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Abstract:We study the question of whether oscillations between non-relativistic neutrinos or between relativistic and non-relativistic neutrinos are possible. The issues of neutrino production and propagation coherence and their impact on the above question are discussed in detail. It is demonstrated that no neutrino oscillations can occur when neutrinos that are non-relativistic in the laboratory frame are involved, except in a strongly mass-degenerate case. We also discuss how this analysis depends on the choice of the Lorentz frame. Our results are for the most part in agreement with Hinchliffe's rule.

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Notes on the Kinematic Structure of the Three-Flavor Neutrino Oscillation Framework

Cited by 10 publications

References 31 publications

Remarks Upon the Mass Oscillation Formulas

Remarks Upon the Mass Oscillation Formulas

On Reconciling Atmospheric, Lsnd, and Solar Neutrino-Oscillation Data

Do non-relativistic neutrinos oscillate?

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