Abstract
We study a system composed of N identical bosons interacting in three dimensions via attractive Yu-kawa pair potentials V(r)=-e -λr /r. Four approaches to the problem are related: the «equivalent two-body method,» translation-invariant Gaussian trial functions, collective field theory, and Hartree trial functions. Upper and lower energy bounds are given and are compared to some recent results which were obtained independently by an optimized Hartree method [M. Membrado, F. Pacheco, and J. Sanudo, Phys. Rev. A 39, 4207 (1989)]
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