Binding of Two Helium Atoms in

Srećko Kilić, E. Krotscheck, Robert E. Zillich

Srećko Kilić, E. Krotscheck, Leandra Vranješ Markić

Leandra Vranješ Markić, Srećko Kilić

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.

Stefan V. Mashkevich, S. I. Vilchynskyy

Olaf Stenzel

H. Krüger

Within the framework of Faddeev theory we calculate the binding energy of the lowest bound state of three identical particles. Excluding three-body potentials, the particles are assumed to interact mutually via a two-body Morse potential. Finally, our model calculations are applied to a system formed of three helium atoms. Using a Morse potential which is fitted to the He-He interaction potential calculated by Bertoncini and Wahl, our calculation predicts a stable triatomic helium molecule with a binding energy of 0.4\ifmmode^\circ\else\textdegree\fi{}K, even though a diatomic helium molecule does not exist for the same well depth.