New coupled-reaction-channels formalism for nuclear reactions

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Abstract
A set of coupled integral equations (CIE) for multichannel nuclear reactions is considered which appears to have some advantages over the conventional coupled-reaction-channel (CRC) equations when transfer channels must be included. Both the CIE and CRC formalism are based on the assumption that the system has a limited number of cluster type intermediate states available to it. The CIE have a connected kernel while those of the CRC do not. In addition, the troublesome nonorthogonality terms of the CRC formalism have no counterpart in the CIE formalism. The CIE are compared with those of the CRC formalism. The CIE for a simple model for deuteron scattering from a structureless target are presented as an explicit example.