\begin{equation}
R^{\alpha}_l=N^{\alpha}_lr^l\exp\left[-\alpha r^2\right];\quad
N^{\alpha}_l = \frac{2\left(2\alpha\right)^{3/4}}{\pi^{1/4}}\sqrt{\frac{2^l}{\left(2l+1\right)!!}}\left(\sqrt{2\alpha}\right)
\end{equation}