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Phys. Rev. Lett. 82, 1648–1651 (1999)

Efimov States for 4He Trimers?

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T. González-Lezana1, J. Rubayo-Soneira2, S. Miret-Artés1, F. A. Gianturco3, G. Delgado-Barrio1, and P. Villarreal1,*
1Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano, 123, 28006 Madrid, Spain
2Instituto Superior de Ciencia y Tecnología Nucleares, Ciudad de La Habana, 6163 Cuba
3Department of Chemistry, The University of Rome, Cittá Universitaria, I-00185 Rome, Italy

Received 3 April 1998; published in the issue dated 22 February 1999

Helium trimer bound states are calculated with a variational method described in terms of pair atom coordinates and distributed Gaussian functions by assuming zero total angular momentum. With the two-body interaction potential used, a weakly bound state for the dimer and only two bound states for the trimer are found. Although strictly speaking the first excited trimer state is not an Efimov state, we show that this state presents several characteristics of the Efimov behavior which are extensively discussed in the present work. Special emphasis is placed on the main geometrical configurations contributing to the two bound trimer states, and suggestions are made on the possible ways of experimentally detecting the Efimov-type state.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.1648
DOI:
10.1103/PhysRevLett.82.1648
PACS:
36.40.-c, 03.65.Ge, 21.45.+v, 21.60.Gx

*Author to whom correspondence should be addressed.

See Also

Comment: B. D. Esry, C. D. Lin, Chris H. Greene, and D. Blume, Comment on “Efimov States for 4He Trimers?”, Phys. Rev. Lett. 86, 4189 (2001).

Reply: T. González-Lezana, J. Rubayo-Soneira, S. Miret-Artés, F. A. Gianturco, G. Delgado-Barrio, and P. Villarreal, González-Lezana et al. Reply:, Phys. Rev. Lett. 86, 4190 (2001).