Microscopic and macroscopic DWBA analysis of the reactions 28Si(α, d) 30P, 32S(d, α) 30P and 32S(α, d) 34Cl studied at Eα = 50MeV and Ed = 40MeV

Abstract

The reactions 28Si(α, d) 30P, 32S(d, α) 30P and 32S(α, d) 34Cl have been studied at E α = 50 MeVand E d = 40 MeV. The angular distributions have been analysed in terms of the single-step, zero-range DWBA with microscopic as well as macroscopic form factors. By requiring an almost identical shape in the microscopic and macroscopic radial form factors for all L-values with L ⩽ 6 the size parameters of the Woods-Saxon well in which the transferred cluster is bound to the nucleus were determined as r 0 = 1.15 fm and a = 0.76 fm. Despite the differences between the two approaches with these parameters the shape of the microscopic angular distribution is well reproduced and the corresponding strengths agree to within 25%. The method has been applied to the three reactions and relative two-nucleon spectroscopic factors have been deduced. A comparison is made with the results of two shell-model calculations.