Variational description of the Helium trimer using correlated hyperspherycal harmonic basis functions
Atomic and Molecular Clusters
2009-11-07 v1 Nuclear Theory
Abstract
A variational wave function constructed with correlated Hyperspherical Harmonic functions is used to describe the Helium trimer. This system is known to have a deep bound state. In addition, different potential models predict the existence of a shallow excited state that has been identified as an Efimov state. Using the Rayleigh-Ritz variational principle the energies and wave functions of both bound states have been obtained by solving a generalized eigenvalue problem. The introduction of a suitable correlation factor reduces considerably the dimension of the basis needed to accurately describe the structure of the system. The most recent helium-helium interactions have been investigated.
Keywords
Cite
@article{arxiv.physics/0107056,
title = {Variational description of the Helium trimer using correlated hyperspherycal harmonic basis functions},
author = {Paolo Barletta and Alejandro Kievsky},
journal= {arXiv preprint arXiv:physics/0107056},
year = {2009}
}
Comments
10 pages, 5 postscript figures