  We analyse recent contradictory results and conclusions about the spectrum of
the screened Coulomb potential $V(r)=-r^{-1}e^{-C/r}$. The well known
Hellmann-Feynman theorem shows that all the bound states of the Coulomb
potential ($C=0$) remain bounded as $C$ increases. We derive a simple
approximate analytical expression for the eigenvalues for sufficiently small
values of the screening parameter $C$ and an approximate asymptotic expression
for the asymptotic behaviour of the s-state eigenvalues when $C\rightarrow
\infty $. Present results are expected to resolve the discrepancy about the
spectrum of the quantum-mechanical model just mentioned.
