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A bridge between hyperspherical and integro-differential approaches to the many-body bound states

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Abstract

The solution of the Schrödinger equation can be obtained from the one of a system of coupled differential equations generated from the potential harmonic expansion of the bound-state wave function of a system of identical particles governed by two-body central interactions. It is shown that the system of coupled equations can be transformed into an equivalent integro-differential equation. For three bosons inS states this equation is identical to the Faddeev equation as written by Noyes. The integro-differential equations describing the triton for non-central realisticN-N forces are explicitly given.

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Authors and Affiliations

  1. Division de Physique Théorique, Institut de Physique Nucléaire, B. P. No. 1, F-91406, Orsay Cedex, France

    M. Fabre de la Ripelle

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  1. M. Fabre de la Ripelle
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Fabre de la Ripelle, M. A bridge between hyperspherical and integro-differential approaches to the many-body bound states. Few-Body Systems 1, 181–192 (1986). https://doi.org/10.1007/BF01076710

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  • DOI: https://doi.org/10.1007/BF01076710

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