D. Babusci et al., LOW-ENERGY COMPTON-SCATTERING OF POLARIZED PHOTONS ON POLARIZED NUCLEONS, Physical review. C. Nuclear physics, 58(2), 1998, pp. 1013-1041
The general structure of the cross section of gamma N scattering with
polarized photon and/or nucleon in initial and/or final state is syste
matically described and exposed through invariant amplitudes. A low-en
ergy expansion of the cross section up to and including the order O(om
ega(4)) is given that involves ten structure parameters of the nucleon
(dipole, quadrupole, dispersion, and spin polarizabilities). Their ph
ysical meaning is discussed in detail. Using fixed-t dispersion relati
ons, predictions for these parameters are obtained and compared with r
esults of chiral perturbation theory. It is emphasized that Compton sc
attering experiments at large angles can fix the most uncertain of the
se structure parameters. Predictions for the cross section and double-
polarization asymmetries are given and the convergence of the expansio
n is investigated. The feasibility of the experimental determination o
f some of the structure parameters is discussed.