Formalism for cross section of closed and open shell nuclei by graphical method of spin algebra

To review the works on the earlier developments and uses of spin algebra, we have highlighted their utilization in finding out the transformation co-efficient and the reaction cross sections of stripping and pick up reaction. The Clebsch Gordon coefficients play an important role in nuclear, quantum, particle and other branches. For transfer reactions of the type A+a(b+x) =B(A+x)+b,we see that the reactions having spin, angular momentum, total angular momentum, energy, parity conservation have maximum peak cross sectional value compared to the others.