We show that if there is a weak (perturbative) interaction between the
particles of a many-body system, its contribution to the ground-stale
binding energies is significantly enhanced by the presence of the sur
face. The naive first-order perturbation estimate of the contribution
of such an interaction severely underestimates the actual magnitude of
the binding energy corrections, arising from an enhanced surface pola
rizability. We exemplify this mechanism by computing the contribution
to the nuclear ground-state energy coming from the Coulomb interaction
between nucleons.