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Journal of Low Temperature Physics

Binding of Two Helium Atoms in Confined Geometries

Srećko Kilić, E. Krotscheck, Robert E. Zillich

Published Aug 1, 1999• 12 citations
Publisher
DOI
10.1023/a:1021841802086

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In variational calculation, we have obtained the binding energy of helium 3 dimer in two dimensions.The existence of one bound state, with the binding energy -0.014 mK, has been definitively found.Also, the existence of a binding state of helium 3 trimer having spin -1/2 with the energy below -0.0057 mK is indicated.This reopens the question of the existence of the gas phase of many helium 3 atoms on the surface of superfluid helium 4. Key words: helium dimer, helium trimer, binding energy of helium 3 dimer. # Dedicated to Academician Krunoslav Ljolje on the occasion of his 70th birthday.

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Abstract Small helium clusters consisting of two and three helium atoms are unique quantum systems in several aspects. The helium dimer has a single weakly bound state and is of huge spatial extent, such that most of its probability distribution resides outside the potential well in the classically forbidden tunnelling region. The helium trimer possesses only two vibrational states, one of which is of Efimov nature. In this chapter, we discuss application of the Coulomb explosion imaging technique for studying geometries and binding energies of these peculiar two- and three-body quantum systems. Irradiation of a helium cluster by a strong laser field allows tuning interactions between helium atoms. Such ultrashort interaction modification induces response dynamics in a cluster that is observed by combination of the imaging technique with the pump-probe approach.
In variational calculation, we have obtained the binding energy of helium 3 dimer in two dimensions.The existence of one bound state, with the binding energy -0.014 mK, has been definitively found.Also, the existence of a binding state of helium 3 trimer having spin -1/2 with the energy below -0.0057 mK is indicated.This reopens the question of the existence of the gas phase of many helium 3 atoms on the surface of superfluid helium 4. Key words: helium dimer, helium trimer, binding energy of helium 3 dimer. # Dedicated to Academician Krunoslav Ljolje on the occasion of his 70th birthday.