Several applications of the DWBA diffractional model of quasi-elastic reactions induced by heavy ions

Abstract

Several applications of a DWBA formula based on the diffractional model and due to Blair, Austern and Hahne are presented. The applications are 1) computation of the direct one-step transfer cross-sections induced by heavy ions to discrete levels, 2) a Regge-pole analysis of alpha transfer reaction for a zero-spin system, 3) the analysis of elastic scattering with backward transfer of particles between two identical colliding cores and 4) the computation of the double differential cross-section dσ/dΩdEf of the continuum states. The DWBA diffractional formula turns out to be a powerful tool to analyse direct transfer reactions and suitable to heavy-ion transfer reactions leading to continuum states. Fast calculations are in these cases feasible, and the success stems from the fact that the formula is an analytical fit of the standard DWBA reduced matrix element.