Low-energy Compton scattering on the nucleon and sum rules

Details Low-energy Compton scattering on the nucleon and sum rules Low-energy Compton scattering on the nucleon and sum rules

2001-09-14

arxiv.org/abs/nucl-th/0109038v2

Phys.Rev. C65 (2002) 038201

Physics

Nuclear Physics

Nuclear Theory

9 pages, 4 figures, using REVTeX. More concise version, results unchanged. To appear in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.65.038201

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 $\alpha+\beta$ of the electric and magnetic polarisabilities and the forward spin polarisability $\gamma_0$ 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 {\em same} framework. The two methods yield compatible values for $\alpha+\beta$ but differ somewhat for $\gamma_0$. 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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