Manning and Rosen potential

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The Manning and Rosen potential is given by [1]

\Phi(r) =  \frac{1}{k\rho^2 } \left[ \frac{\beta ( \beta -1) e^{-2r/\rho}}{(1-e^{-r/\rho})^2} - \frac{Ae^{-r/\rho}}{1-e^{-r/\rho}} \right]