Simultaneous DWBA-description of elastic, fusion and 1 n-transfer reactions on the system 9Be + 208Pb for energies around the barrier energy

Abstract

A distorted wave born approximation is applied to give a simultaneous description of elastic scattering, total reaction, fusion and one neutron transfer cross sections for the system 9Be + 208Pb at energies below and above the Coulomb barrier energy. In the approach, Woods–Saxon optical potentials are applied. For the entrance channel, the imaginary part W of the optical potential U is split into two parts; a volume part W F which is responsible for fusion absorption and a surface part W DR which accounts for direct reactions. The optical potential parameters are determined from a simultaneous χ 2 -analysis of recent experimental data of (a) elastic scattering and complete fusion and (b) elastic scattering and total fusion (complete + incomplete). In this manner, an account of a single α-particle partial fusion can be given. The one-neutron transfer cross section is determined with the same elastic distorted waves obtained from U. A search of the threshold anomaly is made for the real and imaginary parts of U although a no conclusive determination of it can be given. In general the results obtained in the calculations are in close agreement with the data.