We have developed a formulation of the theory of multichannel nuclear reactons which permits practical and realistic numerical calculations in which a number of different reaction channels are coupled, assuming a zero-range approximation for the effective coupling and neglecting effects arising from the non-orthogonality of different reaction channels. A computer program, JUPITER-4, has been written embodying this coupled-reaction-channel formulation, and as a specific application we present analyses of the $(h,\alpha )-(\alpha ,t)$ or pickup-stripping contributions to ($h,t$) reactions, for the specific cases of ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}(h,t){}_{}{}^{48}{}_{}{}^{}\mathrm{Sc}$ and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ar}(h,t){}_{}{}^{40}{}_{}{}^{}\mathrm{K}$. We pay particular attention to the interplay and interference of direct and pickup-stripping amplitudes, and try to identify general tendencies. Finally, we give simple sum rules which aid in predicting the nature of the interference for specific spins of intermediate and final nuclear states.

• Received 19 October 1972

DOI:https://doi.org/10.1103/PhysRevC.7.1154