dorsal/arxiv
View SchemaVariational description of the Helium trimer using correlated hyperspherycal harmonic basis functions
| Authors | Paolo Barletta, Alejandro Kievsky |
|---|---|
| Categories | |
| ArXiv ID | physics/0107056 |
| URL | https://arxiv.org/abs/physics/0107056 |
| DOI | 10.1103/PhysRevA.64.042514 |
| Journal | Phys.Rev. A64 (2001) 042514 |
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.
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"abstract": "A variational wave function constructed with correlated Hyperspherical\nHarmonic functions is used to describe the Helium trimer. This system is known\nto have a deep bound state. In addition, different potential models predict the\nexistence of a shallow excited state that has been identified as an Efimov\nstate. Using the Rayleigh-Ritz variational principle the energies and wave\nfunctions of both bound states have been obtained by solving a generalized\neigenvalue problem. The introduction of a suitable correlation factor reduces\nconsiderably the dimension of the basis needed to accurately describe the\nstructure of the system. The most recent helium-helium interactions have been\ninvestigated.",
"arxiv_id": "physics/0107056",
"authors": [
"Paolo Barletta",
"Alejandro Kievsky"
],
"categories": [
"physics.atm-clus",
"nucl-th"
],
"doi": "10.1103/PhysRevA.64.042514",
"journal_ref": "Phys.Rev. A64 (2001) 042514",
"title": "Variational description of the Helium trimer using correlated hyperspherycal harmonic basis functions",
"url": "https://arxiv.org/abs/physics/0107056"
},
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