S M Bilenky et al 2008 J. Phys. G: Nucl. Part. Phys. 35 095003 doi:10.1088/0954-3899/35/9/095003
Time–energy uncertainty relations for neutrino oscillations and the Mössbauer neutrino experiment
S M Bilenky1, F von Feilitzsch2 and W Potzel2
Show affiliationsUsing the Mandelstam–Tamm method we derive time–energy uncertainty relations for neutrino oscillations. We demonstrate that the small energy uncertainty of antineutrinos in a recently considered experiment with recoilless resonant (Mössbauer) production and absorption of tritium antineutrinos is in conflict with the energy uncertainty which, according to the time–energy uncertainty relation, is necessary for neutrino oscillations to happen. Oscillations of Mössbauer neutrinos would indicate a stationary phenomenon where the evolution of the neutrino state occurs in space rather than in time. A Mössbauer neutrino experiment could provide a unique possibility to reveal the true nature of neutrino oscillations.
- PACS
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96.50.sb Composition, energy spectra and interactions
14.60.Lm Ordinary neutrinos (nue, numu, nutau)
- Subjects
- Dates
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Issue 9 (September 2008)
Received 20 May 2008
Published 29 July 2008
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Time–energy uncertainty relations for neutrino oscillations and the Mössbauer neutrino experiment
S M Bilenky et al 2008 J. Phys. G: Nucl. Part. Phys. 35 095003
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