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Effect of a spurious component of the potential in Faddeev-type equations

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Abstract

In the integro-differential-equation approach (IDEA) and its associated hyperspherical-harmonic expansion method (HHEM) terms appear involving the potential for a single pair of particles. This introduces a spurious component in the potential that is eliminated in the Schrödinger equation by summing over all pairs. We calculate the contribution of this spurious potential in the solution of the HHEM for an even number of bosons in the ground state, using the Afnan-Tang S3 and Malfliet-Tjon MT5 interactions.

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Authors and Affiliations

  1. Division de Physique Théorique, Institut de Physique Nucléaire, F-91406, Orsay Cedex, France

    M. Fabre de la Ripelle

  2. Physics Department, Temple University, 19122, Philadelphia, PA, USA

    S. Y. Larsen

Authors
  1. M. Fabre de la Ripelle
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  2. S. Y. Larsen
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Unité de Recherche des Universités Paris 11 et Paris 6 Associée au CNRS

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de la Ripelle, M.F., Larsen, S.Y. Effect of a spurious component of the potential in Faddeev-type equations. Few-Body Systems 13, 199–206 (1992). https://doi.org/10.1007/BF01080539

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  • DOI: https://doi.org/10.1007/BF01080539

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