The dynamical localization of the O 1s core holes in the CO2 molecule is st
udied ab initio beyond the linear vibronic coupling model. The vibrational
structure of the O 1s x-ray photoelectron spectrum (XPS) has been calculate
d employing accurate potential energy surfaces of the ground and ionized di
abetic electronic states obtained at the self-consistent field and singles
and doubles configuration-interaction (SDCI) methods. A very good agreement
of the SDCI computed vibrational structure of the O 1s XPS with the respec
tive experimental high-resolution spectrum has been obtained. The anharmoni
city of the ionic state potential-energy surface induced mostly by the grou
nd-state surface anharmonicity plays a crucial role in the proper descripti
on of the vibrational line intensities. The linear model is discussed in de
tail. The linear model based on the vibronic coupling constants obtained fr
om the geometry change in the ionized state relative to the ground-state re
ference configuration has been shown to contain a hidden renormalization of
the coupling constants. This improves the agreement of the calculated inte
nsities of the vibrational lines in the spectrum with the experiment, compa
red to the case of the strict linear model. The limitations of this renorma
lized linear model are discussed. Electron relaxation and correlation consi
derably affect the vibrational line intensities. The popular equivalent cor
e approximation is tested for CO2. The calculation of the O 1s XPS performe
d at the SDCI level with and without this approximation is shown to provide
almost identical results on the vibrational intensities. [S1050-2947(99)00
309-1].