TheJ-dependent distorting optical-model potential in heavy-ion transfer reactions

Abstract

The theory of direct nuclear reactions is considered. Different heavy-ion reactions with different particle transfer are calculated in the framework of the exact finite-range distorted-wave Born-approximation formalism, in which the distorting potentials depend explicitly on the total angular momentumJ of the system. The bound states of the transferred particle with the core nucleus forming the projectile or target nucleus in the initial channel and forming the residual nucleus in the final channel are represented by double-Gaussian potentials. Theoretical expressions are evaluated for the form factors and the differential cross-sections. Numerical calculations are carried out for the angular distributions for different heavy-ion reactions with particle transfer at different energies. The results of the present calculations of the differential cross-sections are in good agreement with the experimental measurements, which investigate the important contributions of theJ-dependent distorting potentials in reproducing the oscillatory structure in the shapes of the angular distributions. The obtained values of the extracted spectroscopic factors are reasonable.