Abstract
We report the study of the (p,t) reaction on Pb208, Pb206, and Pb204 at E=35 MeV and on the application of the two-neutron-transfer sum rule of Bayman and Clement to these data. Analysis of the sum rule shows that the observed dramatic increase in J=0 (p,t) cross sections as one goes from targets of Pb208 to Pb206 to Pb204 and the nearly-as-dramatic decrease in J0 cross sections reflect general features of the shell-model character of these nuclei. Application to the present series of nuclei shows that this two-neutron-transfer sum rule can be applied with nearly the same accuracy as the corresponding single-nucleon-transfer sum rules. The relationship between the shell-model and pairing-vibration (p,t) strengths is discussed.

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