Low-energy Compton scattering on the nucleon and sum rules
Abstract
The Gerasimov-Drell-Hearn and Baldin-Lapidus sum rules are evaluated in the dressed K-matrix model for photon-induced reactions on the nucleon. For the first time the sum α+β of the electric and magnetic polarisabilities and the forward spin polarisability γ0 are explicitly calculated in two alternative ways -- from the sum rules and from the low-energy expansion of the real Compton scattering amplitude -- within the same framework. The two methods yield compatible values for α+β but differ somewhat for γ0. Consistency between the two ways of determining the polarisabilities is a measure of the extent to which basic symmetries of the model are obeyed.
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