Determining the radii of single-particle potentials with Skyrme Hartree-Fock calculations

The radius parameters of single-particle potentials are important in theories of direct nuclear reactions where single-particle degrees of freedom are involved. Based on a separation energy prescription, we constrain the radius parameters of single-particle potentials of Woods-Saxon forms, r0, using Hartree-Fock calculations with 122 sets of Skyrme interactions for the valence nucleons in the ground states of atomic nuclei. These r0 values are used in the analysis of (d,3He) and (3He,d) reactions with the distorted wave Born approximation. The single-proton spectroscopic factors obtained from (d,3He) reactions agree very well with those from (e,e′p) reactions, and the reduction factors of the single-proton spectroscopic factors with respect to results of configuration mixing shell model calculations also agree well with the systematics of reduction factors found in other types of nuclear reactions. The r0 values for nuclei with charge numbers 10≤z≤20 are found to be around 1.34 fm rather than the traditionally widely used 1.25 fm.