Abstract
The Faddeev equations in $N$ space dimensions for three identical spinless particles in their ground state interacting via harmonic oscillator, two-body potentials is solved analytically. Unlike the well-known Schr\"odinger solution, the individual Faddeev amplitudes may be negative and contain a long-range component of arbitrary strength. Upon symmetrizing to obtain the full wave function, this component vanishes and the Schr\"odinger solution results. Three-dimensional plots of the various wave functions are presented.NUCLEAR STRUCTURE Faddeev calc., configuration space, harmonic oscillator.
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