We use atomic supersymmetry approximation of Rubidium Rydberg states wave function. Accordingly, eigenstates are interpreted as the implementation of broken symmetry and depend on two parameters. We determine the parameter values from spectroscopic measurements of energies and lifetimes. These analytical wave functions allowed us the study of thermal energy Rb(nl) and the collisions where nl is ns, np and nd over a wide range of n values. The total cross sections are in fair agreement and closer to measurements than similar approaches based on hydrogenic representation of the wave function.