For the case in exercise 1, calculate the total cross section and the S-matrix.

Data From Exercise 1:-

Consider a central potential of the spherical-step type, \(V=V_{0}>0\) for \(r \leq R\) and \(V=0\) for \(r>R\), and a solution with energy \(E>V_{0}\) and given angular momentum \(l>0\). If the solution is assumed to be square integrable at \(r=0\), calculate the coefficients \(A\) and \(B\) at infinity.