Abstract
The finite-range distorted-wave Born approximation (DWBA) theory of direct nuclear reactions is modified to facilitate inclusion of both direct and exchange modes of transfer reactions and all effective interaction potentials for single-cluster transfers. While spin-orbit terms are neglected many other of the usual approximations are not made. Application of the formalism using the computer code FANLU2 is demonstrated in several examples designed to demonstrate useful features of such analyses. Contributions from all reaction mechanisms and both modes are shown to be necessary for an adequate description of the reaction $d(\ensuremath{\alpha},t)^{3}\mathrm{He}$ at 82 Mev with no parameter adjustment. The reaction $^{9}\mathrm{Be}(p,\ensuremath{\alpha})^{6}\mathrm{Li}$ at 6 MeV illustrates angular momentum dependence of the reduced widths in a more complex reaction. Finite-range effects are demonstrated in a simplified analysis of the $^{6}\mathrm{Li}(^{3}\mathrm{He},p)^{8}\mathrm{Be}$ reaction at 17 MeV. Various aspects of such analyses with the code FANLU2 are discussed.
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