Formulation of elastic and inelastic breakup-fusion reactions.

The calculations, presented earlier for the elastic breakup-fusion reactions, is extended here to include inelastic breakup-fusion reactions. As we did before, we take the necessary precautions to eliminate unphysical contributions, which are otherwise mixed into the breakup amplitudes, due to the nonorthogonality between wave functions in the entrance and breakup channels. Related theories by Ichimura et al., and by Hussein and McVoy, are also discussed and it is shown that they retain such unphysical contributions.