Find the scattering amplitude in the born approximation for soft-sphere scattering at arbitrary energy. show that the formula reduces to in the low-energy limit tta equation 1: f(0,ø v 2h 3 the potential of interest is given as eq. 2 vo. (rsa) v(r)0. (r> a) note this is the finite version of hard-sphere scattering. given sufficient energy, an incoming particle could blast right through the potential. this better reflects reality in most situations for example, incident particles have a significant probability of zipping right through the vast open space between electrons and the nucleus for any given atom