Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-03-10
Phys.Lett. B457 (1999) 319-333
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages latex; the text includes 3 postscript figures and 3 tables
Scientific paper
10.1016/S0370-2693(99)00543-2
We study in detail the threshold energy dependence of the seasonal variation effect in the energy integrated solar neutrino signal of the Super-Kamiokande detector in the case of the $\nu_{e}\leftrightarrow \nu_{\mu,\tau}$ vacuum oscillation (VO) solution of the solar neutrino problem. We show, in particular, that for the values of $\Delta m^2$ and $\sin^22\theta$ from the VO solution region, the predicted time and threshold e^- energy ($T_{e,Th}$) dependence of the event rate factorize to a high degree of accuracy. As a consequence, the VO generated seasonal variation asymmetry is given by the product of an time-independent function of $T_{e,Th}$ and the standard geometrical asymmetry. For any given $\Delta m^2$ and $\sin^22\theta$ from the VO solution region there exists at least one value of $T_{e,Th}$ from the interval (5 - 11) MeV, for which the seasonal variation effect in the solar neutrino sample of events, formed by recoil electrons with kinetic energy $T_{e} \geq T_{e,Th}$, is either maximal or very close to the maximal; it can vary dramatically with $T_{e,Th}$. Measuring the seasonal effect in each one of a large number of samples corresponding to different values of $T_{e,Th}$ from the indicated interval, say, to $T_{e,Th} = 5; 6; 7;...; 11 MeV$, provides a very effective test of the VO solution. Predictions for the magnitude of the seasonal effect in such samples are given for a large set of representative values of $\Delta m^2$ and $\sin^22\theta$ from the VO solution region.
Mariş Mihai
Petcov Serguey T.
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