Density-functional formalism and the self-consistent Green functions m
ethod have been applied to study the interaction of a proton with a je
llium surface. Contrary to previous methods of a similar type, this ap
proach allows one to treat accurately the extended screening charge di
stribution in the metal for larger distances of the proton from the su
rface. A detailed discussion is given of the density of screening char
ge, the energetic position of bound states, and the binding energy of
a proton and their dependence on the distance from the surface. It is
found that the proton penetrates the jellium of r(s)=3 and is not adso
rbed at the surface but absorbed. At small distances of the proton fro
m the surface the screening charge density is relatively well localize
d. [S0163-1829(98)02427-8].