Abstract
Abstract The generalised Hartree-Fock method is used to discuss the zero-temperature properties of a system of bosons interacting through a short-ranged repulsive potential and weak, long-ranged attractive potential. It is shown that, provided the negative scattering amplitude associated with the two-body potential is suitably restricted, a stable N -body bound state of the system exists. The excitation spectrum at small momenta is well defined and of the phonon type. These results substantiate earlier calculations based on perturbation theory.
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