Efimov Effect Revisited with Inclusion of Distortions

Details Efimov Effect Revisited with Inclusion of Distortions Efimov Effect Revisited with Inclusion of Distortions

1995-01-12

arxiv.org/abs/nucl-th/9501007v1

Physics

Nuclear Physics

Nuclear Theory

17 pages, TeX Email contact= giraud@amoco.saclay.cea.fr

Scientific paper

10.1016/0375-9474(95)00059-A

An elementary proof of the 3-body Efimov effect is provided in the case of a separable 2-body potential which binds at zero energy a light particle to a heavy one. The proof proceeds by two steps, namely {\it i)} a projection of the Hamiltonian in a subspace and the observation that the projected Hamiltonian generates an arbitrarily large number of bound states, and {\it ii)} a use of the Hylleraas-Undheim theorem to recover the unprojected Hamiltonian. The definition of the projectors we use can include mean field distortions.

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