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Finite element investigation of the ground states of the helium trimers 4He3 and 4He23He
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
Stockholm University, Faculty of Science, Department of Physics.
2007 (English)In: International Journal of Quantum Chemistry, ISSN 0020-7608, E-ISSN 1097-461X, Vol. 107, no 7, 464-468 p.Article in journal (Refereed) Published
Abstract [en]

A three-dimensional finite element method is applied to the ground states of the symmetric and asymmetric atomic helium trimers 4He3 and 4He23He. Three different He–He interaction potentials of hard-core nature were studied. Two extrapolation procedures based on the convergence properties of the finite element method are investigated.

Place, publisher, year, edition, pages
Wiley Periodicals , 2007. Vol. 107, no 7, 464-468 p.
Keyword [en]
triatomic molecule;halo molecule;finite element;few-body system
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:su:diva-22907DOI: 10.1002/qua.21095ISI: 000242652700025OAI: oai:DiVA.org:su-22907DiVA: diva2:189716
Note
Part of urn:nbn:se:su:diva-1257Available from: 2006-09-14 Created: 2006-09-14 Last updated: 2010-12-14Bibliographically approved
In thesis
1. A Theoretical Study of Atomic Trimers in the Critical Stability Region
Open this publication in new window or tab >>A Theoretical Study of Atomic Trimers in the Critical Stability Region
2006 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

When studying the structure formation and fragmentation of complex atomic and nuclear systems it is preferable to start with simple systems where all details can be explored. Some of the knowledge gained from studies of atomic dimers can be generalised to more complex systems. Adding a third atom to an atomic dimer gives a first chance to study how the binding between two atoms is affected by a third. Few-body physics is an intermediate area which helps us to understand some but not all phenomena in many-body physics.

Very weakly bound, spatially very extended quantum systems with a wave function reaching far beyond the classical forbidden region and with low angular momentum are characterized as halo systems. These unusual quantum systems, first discovered in nuclear physics may also exist in systems of neutral atoms.

Since the first clear theoretical prediction in 1977, of a halo system possessing an Efimov state, manifested in the excited state of the bosonic van der Waals helium trimer 42He3, small helium and different spin-polarised halo hydrogen clusters and their corresponding isotopologues have been intensively studied the last three decades.

In the work presented here, the existence of the spin-polarized tritium trimer ground state, 31H3, is demonstrated, verifying earlier predictions, and the system's properties elucidated. Detailed analysis has found no found evidence for other bound states and shape resonances in this system. The properties of the halo helium trimers, 42He3 and 42He2-32He have been investigated. Earlier predictions concerning the ground state energies and structural properties of these systems are validated using our three-dimensional finite element method. In the last part of this work we present results on the bound states and structural properties of the van der Waals bosonic atomic trimers Ne3 and Ar3. We believe to be the first to find evidence of a possible shape resonance just above the three-body dissociation limit of the neon trimer.

Place, publisher, year, edition, pages
Stockholm: Fysikum, 2006. 56 p.
Keyword
atomic trimers, halos, quantum resonances, finite element method
National Category
Physical Sciences
Identifiers
urn:nbn:se:su:diva-1257 (URN)91-7155-336-3 (ISBN)
Public defence
2006-10-06, sal FA32, AlbaNova universitetscentrum, Roslagstullsbacken 21, Stockholm, 10:00
Opponent
Supervisors
Available from: 2006-09-14 Created: 2006-09-14Bibliographically approved

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