  More recently, comprehensive application results of approximate analytical
solutions of the Woods-Saxon potential in closed form for the 5-dimensional
Bohr Hamiltonian have been appeared [14] and its comparison to the data for
many different nuclei has clearly revealed the domains for the sucsess and
failure in case of using such potential forms to analyse the data concerning
with the nuclear structure of deformed nuclei within the frame of the
collective model. Gaining confidence from this work, exact solvability of the
Woods-Saxon type potentials in lower dimensions for the bound states having
zero angular momentum is carefully reviewed to finalize an ongoing discussion
in the related literature and clearly shown that such kind of potentials have
no analytical solutions even for l=0 case.
