Analysis of a three flavor neutrino oscillation fit to recent Super-Kamiokande data

We have analyzed the most recent available Super-Kamiokande data in a three flavor neutrino oscillation model. We have here neglected possible matter effects and performed a fit to atmospheric and solar Super-Kamiokande data. We have investigated a large parameter range, where the mixing angles were restricted to $0\le {\theta }_i\le \pi \mathrm{/}2$, $i=1,2,3$, and the mass squared differences were taken to be in the intervals $10^{-11} {\rm eV}^2 \leq \Delta m^2 \leq 10^{-2} {\rm eV}^2$and$10^{-4} {\rm eV}^2 \leq \Delta M^2 \leq 10 {\rm eV}^2$\mathrm{.}Thisyieldedabestsolutioncharacterizedbytheparametervalues$\theta_1 \simeq 45^\circ$,$\theta_2 \simeq 10^\circ$,$\theta_3 \simeq 45^\circ$,$\Delta m^2 \simeq 4.4 \times 10^{-10} {\rm eV}^2$,and$\Delta M^2 \simeq 1.01 \times 10^{-3} {\rm eV}^2$, which shows that the analyzed experimental data speak in favor of a bimaximal mixing scenario with one of the mass squared differences in the ``just-so’’ domain and the other one in the range capable of providing a solution to the atmospheric neutrino problem.