Sequential amplitudes in heavy-ion induced two-proton transfer reactions

Abstract

Angular distributions have been measured for the reactions Sr88(O16, C14)Zr90 and Zr90(O16, C14)Mo92 at 80 MeV, and Sr88(C12, Be10)Zr90 and Zr90(C12, Be10)Mo92 at 60 MeV. The data were analyzed with full recoil, coupled-channel Born approximation calculations, in which both direct (one-step) and sequential (two-step) reaction routes were considered. Detailed shell model wave functions were used to construct all form factors. The calculated sequential contributions to the cross sections were found to be significantly larger than those associated with direct transfer, and inclusion of the two-step routes substantially improved agreement with experiment. The calculated angular distribution shapes were found to depend on both the intermediate Q value of the sequential process, and also on the microscopic configurations involved in the transfer. In addition, a previously unreported configuration dependence of the recoil corrections was noted in the calculations. NUCLEAR REACTIONS Sr88(O16, O16), Sr88(O16, C14), Zr90(O16, O16), Zr90(O16, C14), E=80 MeV; Sr88(C12, C12, C12), Sr88(C12, Be10), Zr90(C12, C12), Zr90(C12, Be10), E=60 MeV; enriched targets, measured σ(θ). Finite range DWBA and CCBA analyses of direct and sequential transfer, compared with data. © 1978 The American Physical Society.