  We study an extension of one dimensional Calogero model involving strongly
coupled and electrically charged particles. Besides Calogero term $\frac{g}{%
2x^{2}}$, there is an extra factor described by a Yukawa like coupling modeling
short distance interactions. Mimicking Calogero analysis and using developments
in formal series of the wave function $\Psi (x) $ factorised as
$x^{\epsilon}\Phi (x) $ with $\epsilon (\epsilon -1) =g$, we develop a
technique to approach the spectrum of the generalized system and show that
information on full spectrum is captured by $\Phi (x) $ and $\Phi ^{\prime
\prime}(x) $ at the singular point $x=0$ of the potential. Convergence of $%
\int dx| \Psi (x) | ^{2}$ requires $\epsilon >-{1/2}$ and is shown to be
sensitive to the zero mode of $\Phi (x) $ at $x=0$.
  \textbf{Key words}: \textit{Hamitonian systems, quantum integrability,
Calogero model, Yukawa like potential.}
