Pb208(d,t)and (d,He3) Reactions with 50-MeV Deuterons

The absolute differential cross sections for the six lowest-lying levels of ${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$ and the five lowest-lying levels of ${}_{}{}^{207}{}_{}{}^{}\mathrm{Tl}$ excited by the ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}\mathrm{}(d,t)\mathrm{}$ and $d,{}_{}{}^3{}_{}{}^{}\mathrm{He}$ reactions, respectively, have been measured for 50-MeV incident deuteron energy. In addition, the absolute differential cross sections have been measured for the elastic scattering of 47.5-MeV ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ ions on ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ and the inelastic scattering to the well-known $3^{-}$ level at 2.615 MeV. The excitation energies and level assignments are in agreement with previous measurements. The measured cross sections, when compared using distorted-wave analysis, suggest that the effective proton shell-model potential may have a larger spatial extent than that for neutrons. In the analysis, the contributions from the nuclear interior to the distorted-wave amplitudes for the proton pickup had to be eliminated, but this was not necessary for the neutron pickup. The distorted-wave analysis is discussed in some detail.