Breakup Fusion Reaction Theory for Cluster Transfer Reactions

The breakup fusion theory developed by the Austin group is applied to cluster transfer reactions, in order to analyze the data on ^{40}Ca( ^6 Li,d)^{44}Ti reactions at incident energies of 28MeV, 50MeV, and 60.1 MeV. The main goal of the present study is to explore the alpha cluster structure in ^{44}Ti, which is currently of great interest in alpha cluster structure studies. In cluster transfer reactions, the effect of the Pauli exclusion principle has to be taken into account. For this purpose, we extended the breakup fusion theory by using the Orthogonality Condition Model which eliminates the unphysical contributions from occupied hole states. In addition, the breakup fusion theory provides a valuable tool for testing the validity of a unified description of cluster states in the bound and unbound (continuum) regions by a single potential. Extensive discussion on this subject is presented by studying the energy spectra and spectroscopic factors predicted by the unique phenomenological optical potential and the microscopic finite range folding potential. The effect of the deuteron channel spin-orbit interaction is also discussed.