Effective interactions and the coupled reaction channel formalism

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Abstract
Many-body scattering theory is used to derive coupled reaction channel-type equations. With the choice of the Alt, Grassberger, and Sandhas off-shell extension for the rearrangement transition operators, the effective interactions which enter these equations are shown to be free of all relevant two-cluster channel unitarity cuts and satisfy well-behaved dynamical equations which possess an explicit multiple scattering structure. Several approximations to these equations are presented and the importance of various nonorthogonality effects is discussed. Symmetrized forms of these equations which take into account the effects of particle identity are found. This permits the inclusion of the Pauli principle in coupled reaction channel calculations in a simple and practical manner.