We present an updated analysis of the solar neutrino problem in terms
of both Mikheyev-Smirnov-Wolfenstein (MSW) and vacuum neutrino oscilla
tions, with the inclusion of the preliminary data collected by the Sup
erKamiokande experiment during 306.3 days of operation. In particular,
the observed energy spectrum of the recoil electrons from B-8 neutrin
o scattering is discussed in detail and is used to constrain the mass-
mixing parameter space. It is shown that (1) the small mixing MSW solu
tion is preferred over the large mixing one; (2) the vacuum oscillatio
n solutions are strongly constrained by the energy spectrum measuremen
t; and (3) the detection of a possible semiannual modulation of the B-
8 v flux due to vacuum oscillations should require at least one more y
ear of operation of SuperKamiokande. (C) 1998 Elsevier Science B.V.