Variability of the Solar Neutrino Flux

Mathematics – Probability

Scientific paper

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Scientific paper

Several tests of the available data provide evidence for variability of the solar neutrino flux. The variance of the Homestake measurements is larger than expected of a constant flux, and varies with heliographic latitude. The Homestake power spectrum contains a peak at 12.88 y-1 (period 28.4 days), corresponding to a sidereal rotation frequency of 440 nHz, close to that of the radiative zone. The power spectrum of GALLEX-GNO data contains the 12.88 y-1 peak and a stronger peak at 13.59 y-1 (period 26.9 days), corresponding to a sidereal rotation frequency of 462 nHz, that of the equatorial convection zone at normalized radius 0.85. Further evidence for time variation comes from the bimodality of the GALLEX-GNO and SAGE histograms. Joint spectrum analysis of the Homestake and GALLEX-GNO data yields evidence for the influence of r-mode oscillations [with l = 3, m = \{1,2,3\}] associated with the same sidereal rotation rate (13.88 y-1 or 440 nHz) found previously. The periods of these oscillations (158, 79, and 53 days, respectively) are close to those of known Rieger-type oscillations, and therefore point to the radiative zone as the source of these oscillations. A subset of these tests, selected to be independent, yield results that could arise by chance from a constant flux with probabilities ranging from 0.1 to 0.0001. If there are no relevant experimental systematic effects, and if the tests are valid and statistically independent, the combined estimates yield a probability of 10-15 that the results are compatible with a constant flux. A variable flux implies that neutrinos have a significant magnetic moment, and that neutrino measurements may be used to probe the Sun's internal magnetic field and internal dynamics. This work was supported by NASA grants NAS 8-37334 and NAG 5-9784, NSF grant AST-0097128, and the NASA Applied Information Systems Research Program.

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