Abstract
Reactor data from experiments performed at different distances is analyzed without using any theoretically calculated reactor \(\bar \nu _e\) spectra. The data does not support the no oscillation hypothesis and exhibits distance dependence in the form of depletion of \(\bar \nu _e\) (of energy >μ 6 MeV) with increase in distance from 6.5m to 11.2m. Three solutions with oscillations among two neutrinos jointly fit 2 2 2 the data. These have the (δm2, sin2 20) values: (˜.9 eV2, ˜.29); (˜2.2 e\(\bar \nu _e\), ˜.17); (˜3.7 eV2, ˜.23). Each one of these solutions is within the (68% CL) allowed region in the (m2, sin2e) space of Boehm et al.’s analysis of their own experiment at 8.7m. The reactor \(\bar \nu _e\) e spectrum deduced in conjunction with each of these oscillation solutions is found to be compatible with the spectrum obtained by inversion of the measured beta spectrum from fission of 235U.
This work is supported in part by the National Science Foundation under Grants Nos. PHY 78-21502 and PHY 79-10262
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References and Footnotes
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A detailed article is currently in preparation and will be submitted for publication.
Independently emphasized by P. Rosen (private communication).
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The evidence cited below all indicate that reactor V spectrum is a relatively smooth function of neutrino energy and can be sufficiently well fitted by Eq. (6).(1) The measured beta .235 spectrum from fission of U, (2) the central values of the v spectrum resulting from the inversion of that measured beta spectrum, (3) all theoretically calculated reactor v spectra of reference (9) and (4) the spectrum monitored at each distance are all expressible in that form. Indeed as is well known all the come from beta decays with a continuous distribution of neutrino energy and therefore it is not surprising that that is the case.
This method was independently thought of by W. Gibbs, T. Goldman and G. Stephenson (private communication).
The reactor ve spectra at the Savannah River Plant (Refs. 7 and 8) (.88 u235.04.08 Pu239 fissions) are estimated to differ from those at the reactor used in Ref. 6 (only U235 fissions) by no more than 2.4% for 1 MeV < EV < 7 MeV using the calculations of Ref. 9.
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Silverman, D., Soni, A. (1981). Phenomenological Analysis of Reactor Data for Neutrino Oscillations. In: Perlmutter, A. (eds) Gauge Theories, Massive Neutrinos and Proton Decay. Studies in the Natural Sciences, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1107-2_17
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DOI: https://doi.org/10.1007/978-1-4684-1107-2_17
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