Experimental and Theoretical Investigation of thePb208(p,t)Pb206Reaction at 40 MeV

Abstract

The ${\mathrm{Pb}}^{208}\mathrm{}(p,t)\mathrm{}{\mathrm{Pb}}^{206}$ reaction induced by 40-MeV protons has been studied with 100-keV resolution. The shapes of the differential cross sections reproduce those predicted by distorted-wave Born-approximation calculations. The relative theoretical magnitudes of these cross sections for three different sets of ${\mathrm{Pb}}^{206}$ wave functions are in reasonable agreement with the experimental results. The similarity between the predictions of these three sets of wave functions for the observed levels indicates that the predicted strengths are primarily sensitive to the relative signs of the wave-function components and not their exact magnitudes. The over-all agreement between theory and experiment for each set of wave functions would be somewhat improved if the theoretically predicted ground-state transition were enhanced relative to that of the excited states by approximately 40%.