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Phys. Rev. A 60, R9 - R12 (1999)

Scaling limit of weakly bound triatomic states

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T. Frederico1, Lauro Tomio2, A. Delfino3, and A. E. A. Amorim4
1Departamento de Física, Instituto Tecnológico de Aeronáutica, Centro Técnico Aeroespacial, 12228-900 São José dos Campos, Brazil
2Instituto de Física Teórica, Universidade Estadual Paulista, 01405-900 São Paulo, Brazil
3Instituto de Física, Universidade Federal Fluminense, 24210-900 Niterói, RJ, Brazil
4Faculdade de Tecnologia de Jahu, CEETEPS, Jahu, Brazil

Rapid Communication Received 8 April 1998; revised 10 August 1998

The usefulness of a scale-independent approach to identify Efimov states in three-body systems is shown by comparing such an approach with a realistic calculation in the case of three helium atoms. We show that the scaling limit is realized in practice in this case, and suggest its application to study other similar systems, including the case where two kinds of atoms are mixed. We also consider the observed large scattering length of the 87Rb dimer to estimate the critical value of the ground-state energy of the corresponding trimer (>~1.5 mK), in order to allow for one Efimov state above the ground state.


©1999 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v60/pR9
DOI: 10.1103/PhysRevA.60.R9
PACS: 34.10.+x, 05.30.Jp, 21.45.+v, 36.40.-c

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