Efimov and Thomas effects and the model dependence of three-particle observables in two and three dimensions

Sadhan K. Adhikari, A. Delfino, T. Frederico, I. D. Goldman, and Lauro Tomio
Phys. Rev. A 37, 3666 – Published 1 May 1988
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Abstract

It is demonstrated for the three-dimensional three-particle system that a divergence arising from essentially the same singularity structure of the kernel of the scattering integral equation is responsible for both the Efimov and Thomas effects. The above divergence implies that the results of a three-particle dynamical calculation will be sensitive to the details of the two-particle interaction. In two-dimensional systems, the above divergence is absent and consequently the three-particle observables become essentially independent of the two-particle interaction model.

  • Received 28 August 1987

DOI:https://doi.org/10.1103/PhysRevA.37.3666

©1988 American Physical Society

Authors & Affiliations

Sadhan K. Adhikari

  • Departamento de Física, Universidade Federal de Pernambuco, 50.739 Recife, Pernambuco, Brazil

A. Delfino

  • Instituto de Física, Universidade Federal Fluminense, 24.210 Niterói, Rio de Janeiro, Brazil

T. Frederico

  • Centro Técnico Aeroespacial, Instituto de Estudos Avançados, 12.200 São José dos Campos, São Paulo, Brazil

I. D. Goldman

  • Instituto de Física, Universidade de São Paulo, 01.498 São Paulo, São Paulo, Brazil

Lauro Tomio

  • Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01.405 São Paulo, São Paulo, Brazil

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Vol. 37, Iss. 10 — May 1988

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