The concept of Compton scattering by even-even nuclei from giant-resonance
to nucleon-resonance energies and the status of experimental and theoretica
l researches in this field are outlined. The description of Compton scatter
ing by nuclei starts from different complementary approaches, namely from s
econd-order S-matrix and from dispersion theories. Making use of these, it
is possible to incorporate into the predicted nuclear scattering amplitudes
all the information available from other channels, viz. photon-nucleon and
photon-meson channels, and to efficiently make use of models of the nucleo
n, the nucleus and the nucleon-nucleon interaction. The total photoabsorpti
on cross section constrains the nuclear scattering amplitude in the forward
direction. The specific information obtained from Compton scattering there
fore stems from the angular dependence of the nuclear scattering amplitude,
providing detailed insight into the dynamics of the nuclear and nucleon de
grees of freedom and into the interplay between them. Nuclear Compton scatt
ering in the giant-resonance energy-region provides information on the dyna
mical properties of the in-medium mass of the nucleon. Most prominently, th
e electromagnetic polarizabilities of the nucleon in the nuclear medium can
be extracted from nuclear Compton scattering data obtained in the quasi-de
uteron energy-region. In our description of this latter process special emp
hasis is laid upon the exploration of many-body and two-body effects enteri
ng into the nuclear dynamics. Recent results are presented for two-body eff
ects due to the mesonic seagull amplitude and due to the excitation of nucl
eon internal degrees of freedom accompanied by meson exchanges. Due to thes
e studies the in-medium electromagnetic polarizabilities are by now well un
derstood, whereas the understanding of nuclear Compton scattering in the De
lta-resonance range is only at the beginning. Furthermore, phenomenological
methods how to include retardation effects in the scattering amplitude are
discussed and compared with model predictions. (C) 2000 Elsevier Science B
.V. All rights reserved.