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International Journal of Quantum Chemistry

Weakly bound triatomic 4He23He and 3He24He molecules

Bingcong Gou, Fei Wang

Published Oct 13, 2004• 1 citation
Publisher

Abstract

Abstract The bound rotational excited states of weakly bound 4He23He and 3He24He molecules have been searched for. Including pair interaction between helium atoms, we solved the Schrödinger equation for the triatomic systems with hyperspherical coordinates in the adiabatic approximation. The resulting potential curves are mostly repulsive for nonzero angular momenta. We conclude that no bound rotational excited states exist in both 4He23He and 3He24He molecules. The stability of the systems depends sensitively on the quantum symmetry and the masses of the particles. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2005

DOI
10.1002/qua.20202

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Abstract The bound rotational excited states of weakly bound 4He23He and 3He24He molecules have been searched for. Including pair interaction between helium atoms, we solved the Schrödinger equation for the triatomic systems with hyperspherical coordinates in the adiabatic approximation. The resulting potential curves are mostly repulsive for nonzero angular momenta. We conclude that no bound rotational excited states exist in both 4He23He and 3He24He molecules. The stability of the systems depends sensitively on the quantum symmetry and the masses of the particles. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2005
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We searched for the existence of weakly bound He-He-H, He-He-H - and He-H-H molecules where the binding energies are expected to be of the order of degrees Kelvin. By employing the best empirical interaction between each pair of particles, we solved the Schrödinger equation for the triatomic systems using hyperspherical coordinates in the adiabatic approximation. We found no bound states for 4 He- 4 He- 1 H, three bound states for 4 He- 4 He- 1 H - and one bound state for 4 He- 1 H- 1 H. Bound states for other isotope combinations are also examined.
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We have searched for bound states of helium trimers with nonzero angular momenta. Including only pair interactions between helium atoms, we solved the Schrödinger equation in hyperspherical coordinates in the adiabatic approximation. From the resulting potential curves - which are mostly repulsive for nonzero angular momenta - we conclude that there are no bound rotational excited states in any of the isotopes of the helium trimer. The symmetry properties of the trimer wavefunctions in the body-fixed frame are also analysed.
We study the existence of stable bound states of triatomic molecules containing two helium atoms and one alkali atom X (X = Li, Na) and examine the dependence of their binding energies on the mass of the constituent atoms. The three-body systems are solved within the adiabatic approximation in hyperspherical coordinates using the He - He and He - X pair van der Waals interactions that are available in the literature. The binding energies of these systems are shown to be of less than 1 K for some isotope combinations. For the lighter isotopes it is shown that no bound states exist. We found no evidence of the existence of halo states or Efimov states for these systems.