We examine the neutrino mass matrix in the version of Zee model where both
Higgs doublets couple to the leptons. We show that in this case one can acc
ommodate the large mixing angle (LMA) MSW solution of the solar neutrino pr
oblem, while avoiding maximal solar mixing and conflicts with constraints o
n lepton family number-violating interactions. In the simplified scenario w
e consider, we have the neutrino mass spectrum characterized by m(1) simila
r or equal to m(2) similar or equal to root Deltam(atm)(2)/sin 2 theta and
m(3)/m(1) similar or equal to cos 2 theta, where theta is the solar mixing
angle. (C) 2001 Published by Elsevier Science B.V.