Abstract
In the present paper we have evaluated the TRK sum rule in spherical nuclei using many variants of realistic potentials. The crucial role of correlations has been discussed, even for the most recent parametrizations of the nucleon-nucleon forces, within a phenomenological model for the correlated ground state. In addition, the RPA values of the integrated photonuclear cross-section are reviewed: both schematic zero-range effective forces (of Skyrme type) and finite-range density-dependent forces have been discussed. i) The theoretical evaluation of the TRK sum rule represents a good test for the nucleon-nucleon potential model and the ground-state description. In particular, the inclusion of dynamical medium-range correlations (of tensor type mainly) enhances the values of the total sum considerably. ii) The TRK sum can be studied even within the RPA framework of the nuclear excitations. The values obtained are strongly dependent on the effective potentials, while the self-consistent treatment of the nuclear ground state and effective forces is not crucial in the numerical results. iii) A clear comparison between theoretical calculations and experimental observations is limited by contradictory experimental results and by the difficulties of evaluating higher-multipole excitations and tail contribution to the integrated photonuclear cross-section.
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