Analysis of One-, Two-, and Four-Nucleon Transfer Reactions Based on The Diffraction Model

A simple numerical treatment of distorted-wave Born approximation (DWBA) with the parameterized form of Austern and Blair for the radial integral, based on the diffraction model, is used to analyze the angular distributions of transfer reactions 13C (18O, 17O) 14C, 16O (18O, 16O) 18O, and 12C (18O, 16O) 14C at incident energy of 84 MeV, 28Si (16O, 12C) 32S, and 28Si (18O, 14C) 32S at incident energy of 60 MeV, in addition to 28Si (12C, 8Be) 32S, and 24Mg (12C, 16O) 20Ne at incident energies of 42 and 40 MeV, respectively. The calculations of the center of mass cross sections are conducted to explore the effect of the change in the incident nucleus on the behaviors of chosen different reactions and to extract information regarding the transfer data. The transfer parameter (or spectroscopic factor) for each transfer angular momentum and final energy of each transfer reaction is obtained. It is found that the transfer parameter is sensitive to the nuclear refractive imaginary term (which contains the product of the nuclear deflection function and reflection coefficient) of the parameterized radial integral. It is also found that the chosen sets of parameters for entrance and exit channels reproduced fairly the experimental pattern of oscillations in most of the transfer reactions without using any extra free parameters. It is noticed that the variation of the transfer parameter with the excitation energy follows a particular trend and is largely influenced by both inclusions of the imaginary term and modification of some of the exit or=and entrance channels parameters.