Analytical expressions for the binding energy of electrons and positrons in
dielectric clusters, analyzed in this work, neglect the elastic effects. T
herefore, we present the density-functional theory for neutral liquid clust
ers that experience the spontaneous deformation. Using the 1/R-expansion, R
being the cluster radius, the exact analytical expressions for the size co
rrections to the chemical potential, surface tension, and atomic density ar
e derived from the condition of mechanical equilibrium. The problem of calc
ulating these corrections is reduced to calculating the quantities for a li
quid with a flat surface. The size compression and tension of density occur
in the 1/R and 1/R-2 orders respectively. The sizes of charged rigid and e
lastic critical clusters, for which the electron or positron binding energy
is close to zero, are calculated for Xe-N(-), Kr-N(-), Ar-N(-), Ne-N(+), H
e-N(+). The calculations show significant contribution of self-compression
to the binding energy of the excess electron in contrast to the positron. (
C) 2000 MAIK "Nauka/Interperiodica".