Interplay of nonrelativistic and relativistic effects in neutrino oscillations

Ahluwalia, Dharam Vir; Goldman, T.

doi:10.1103/physrevd.56.1698

Cited by 21 publications

(32 citation statements)

References 28 publications

(27 reference statements)

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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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“…This possiblity was recently discussed by the present author with Goldman in Ref. [16]. Two other possibilities are: (a) Violation of CPT symmetry in the neutrino sector, and/or (b) Violation of the principle of equivalence.…”

Section: Solar Neutrino Deficit and The Problem With A Sterile Neutrimentioning

confidence: 72%

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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“…Solar, atmospheric, reactor, and accelerator neutrino experiments have measured two of these parameters: 12 % 0:59, 23 % =4. The best current experimental constraints show that 13 0:2 (2 limit) [29]. The CP-violating phase is not well constrained.…”

Section: Supernova Neutrino Flavor Transformationmentioning

confidence: 91%

Multiangle simulation of flavor evolution in the neutronization neutrino burst from an O-Ne-Mg core-collapse supernova

et al. 2010

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We report results of the first 3 Â 3 ''multiangle'' simulation of the evolution of neutrino flavor in the core-collapse supernova environment. In particular, we follow neutrino flavor transformation in the neutronization neutrino burst of an O-Ne-Mg core-collapse event. Though in a qualitative sense our results are consistent with those obtained in 3 Â 3 single-angle simulations, at least in terms of neutrino mass hierarchy dependence, performing multiangle calculations is found to reduce the adiabaticity of flavor evolution in the normal neutrino mass hierarchy, resulting in lower swap energies. Differences between single-angle and multiangle results are largest for the normal neutrino mass hierarchy. Our simulations also show that current uncertainties in the measured mass-squared and mixing angle parameters translate into uncertainties in neutrino swap energies. Our results show that at low 13 it may be difficult to resolve the neutrino mass hierarchy using the O-Ne-Mg neutronization neutrino burst.

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Interplay of nonrelativistic and relativistic effects in neutrino oscillations

Cited by 21 publications

References 28 publications

Remarks Upon the Mass Oscillation Formulas

Remarks Upon the Mass Oscillation Formulas

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

Multiangle simulation of flavor evolution in the neutronization neutrino burst from an O-Ne-Mg core-collapse supernova

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