Abstract
We describe a new approach to the computation of ground-state energies of nuclear matter (and by extension finite nuclei) and of excited states of predominantly particle-hole character. We assume that a phenomenological Hamiltonian can be defined containing two- and more-body smooth effective potentials which sum the results of short-range correlations. A formula for the ground-state energy is then developed wherein the effects of long-range correlations are treated explicitly in terms of ground-state correlation amplitudes; determining equations for the latter can be obtained either by a variational method or by an equation of motion approach. In leading order these are the equations of the random-phase approximation. The variational method is described only to leading order, but the equation of motion method is carried sufficiently far to provide a closed phenomenological framework. The aim of an accompanying paper is to provide a microscopic foundation for this phenomenology.
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