Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-02-18
JHEP0805:005,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
31 pages, 2 figures, RevTeX4, minor clarifications in the text, matches version to be published in JHEP
Scientific paper
10.1088/1126-6708/2008/05/005
We calculate the probability of recoilless emission and detection of neutrinos (Mossbauer effect with neutrinos) taking into account the boundedness of the parent and daughter nuclei in the neutrino source and detector as well as the leptonic mixing. We show that, in spite of their near monochromaticity, the recoillessly emitted and captured neutrinos oscillate. After a qualitative discussion of this issue, we corroborate and extend our results by computing the combined rate of $\bar{\nu}_e$ production, propagation and detection in the framework of quantum field theory, starting from first principles. This allows us to avoid making any a priori assumptions about the energy and momentum of the intermediate-state neutrino. Our calculation permits quantitative predictions of the transition rate in future experiments, and shows that the decoherence and delocalization factors, which could in principle suppress neutrino oscillations, are irrelevant under realistic experimental conditions.
Akhmedov Evgeny Kh.
Kopp Joachim
Lindner Manfred
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