The problem of the minimum value of the dipole moment needed to assure
the existence of a bound electronic state has been addressed for thr
electrostatically screened Coulomb interaction of the Yukawa type. Our
variational calculation demonstrates that the value of the minimum di
pole moment increases as the screening parameter increases, More inter
estingly, we have found that the dipole's length has a remarkable effe
ct on the minimum dipole moment; a feature not found for the unscreene
d case. This effect yields a rapid increase of the value of Ihs minimu
m dipole moment, particularly fur large values of the screening parame
ter, with the increasing dipole moment's length.