Test of the shell model for 206Pb by the 208Pb(p, t) reaction

Abstract

Abstract The 208 Pb(p, t) 206 Pb reaction induced by 40 MeV protons has been studied with 40 keV triton energy resolution. The experimental energies and transition strengths for the natural parity levels below 3.4 MeV have been compared with the predictions obtained from four sets of shell-model wave functions. The overall agreement for each set is good. The insensitivity of the energy level positions and (p, t) transition strengths to the differences in the shell-model calculations considered, made determination of the most satisfactory set of wave functions for 206 Pb difficult. However, through the use of an approximate sum rule, which we derive, we conclude that the wave function sets derived from the calculations which employ a larger model space produce a better agreement with the experimental transition strengths.