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 we 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≤θi≤π/2,i=1,2,3, and the mass squared differences were taken to be in the intervals 10-11 eV2≤Δm2≤10-2 eV2 and 10-4 eV2≤ΔM2≤10 eV2, i.e., the hierarchy between the mass squared differences is not completely determined. This yielded a best solution characterized by the parameter values θ1≅45 ,θ2≅10 circle,θ3≅45 ,Δm2≅4.4 x 10-10 eV2, and ΔM2≅1.01 x 10-3 eV2, 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. (orig.)