  A realistic model is suggested based on the quasiparticle Lagrange version of
the self-consistent Finite Fermi Systems theory supplemented with the
microscopically calculated surface parameters of the Landau-Migdal interaction
amplitude. The latter are expressed in terms of the off-shell T-matrix of free
NN-scattering and show a strong dependence on the chemical potential of a
nucleus under consideration in the drip line vicinity. This effect could result
in shifting the neutron drip line position to very large values of the neutron
excess.
