Issue |
Europhys. Lett.
Volume 50, Number 5, June I 2000
|
|
---|---|---|
Page(s) | 567 - 573 | |
Section | General | |
DOI | https://doi.org/10.1209/epl/i2000-00307-8 | |
Published online | 01 September 2002 |
Searching for Efimov states in triatomic systems: The case of
1
Instituto de Matemáticas y Física Fundamental
Consejo Superior de Investigaciones Científicas
Serrano, 123, 28006 Madrid, Spain
2
Laboratoire de Dynamique des Ions, Atomes et Molecules
Universitè Pierre et Marie Curie 4 Place Jussieu, 75252 Paris Cedex,
France
3
Department of Chemistry, The University of Rome
Città Universitaria, I-00185 Roma, Italy
Received:
25
October
1999
Accepted:
27
March
2000
The possible presence of Efimov-type states
in isotopic variants of triatomic molecules composed of one Li
and two boson He atoms is investigated. Firstly, through the study of
two-body interactions in the frame of the effective range theory,
it is shown that, at least with the present choice of dimer
potentials, the system containing unlikely presents any Efimov state,
while the
isotopic variant would be a better candidate in this regard.
Then,
triatomic bound states are searched through variational calculations in terms
of pair inter-atomic distances and distributed Gaussian functions (DGF).
The calculations were performed at several values of a parameter λ
controlling the strength of the potential. Each system presents two bound
levels at the “physical” situation
. By increasing lambda, the
excited levels become “ghost” states as their energies are
above the helium dimer energy
and present, therefore, an Efimov character.
Hence, we conclude that three-body (3B) predictions coming only from
two-body (2B) calculations do not have, at least for the systems
studied here, any great relevance. Such predictions are not
in fact fulfilled for
, as shown by the greatly reduced relevance of
isotopic effects in our
actual 3B calculations.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 21.45.+v – Few-body systems / 21.60.Gx – Cluster models
© EDP Sciences, 2000
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