Spurious states in the Faddeev formalism for few-body systems

Abstract

We discuss the appearance of spurious solutions of few-body equations for Faddeev amplitudes. The identification of spurious states, i.e., states that lack the symmetry required for solutions of the Schroedinger equation, as well as the symmetrization of the Faddeev equations is investigated. As an example, systems of three and four electrons, bound in a harmonic-oscillator potential and interacting by the Coulomb potential, are presented.

arXiv comment11 pages. REVTEX

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Cited by in corpus (11)

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• Realistic shell-model calculations for p-shell nuclei including contributions of a chiral three-body force
• Three-particle bound states in a finite volume: unequal masses and higher partial waves
• Faddeev Random Phase Approximation for Molecules
• Intrinsic operators for the translationally-invariant many-body problem
• Realistic Ghost State : Pauli Forbidden State from Rigorous Solution of the Alpha Particle
• Faddeev Random Phase Approximation applied to molecules