  A new option of parameter constraint is described for the recently proposed
neutrino mass formula involving primarily three free parameters. The option
implies the vanishing of a part of mass formula for the lowest mass neutrino,
the part which may - in an intuitive model - be identified with its formal
"intrinsic selfenergy". However, its actual mass induced then by another part
of mass formula is considerable. In this option, our neutrino mass formula
predicts all three neutrino masses as m_1 \sim 2.5 x 10^{-3} eV, m_2 \sim 9.3 x
10^{-3} eV and m_3 \sim 5.0 x 10^{-2} eV, when two experimental estimates
\Delta m^2_{21} \sim 8.0 x 10^{-5} eV^2 and \Delta m^2_{32} \sim 2.4 x 10^{-3}
eV^2 are applied as an input.
