Journal of Physics B Atomic Molecular and Optical Physics

Weakly bound triatomic He2Li and He2Na molecules

Jianmin Yuan, C. D. Lin

Published Aug 14, 1998• 50 citations

Abstract

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.

DOI: 10.1088/0953-4075/31/15/001

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Journal of Physics B Atomic Molecular and Optical Physics

Weakly bound triatomic He2Li and He2Na molecules

Jianmin Yuan, C. D. Lin

Published Aug 14, 1998• 50 citations

Publisher

Abstract

DOI: 10.1088/0953-4075/31/15/001

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{\mathrm{He}}_{2}\mathrm{Li}

and

{\mathrm{He}}_{2}\mathrm{Na}

bound states, and analyze one-dimensional pair and angle distribution functions as well as two-dimensional pair-pair and angle-angle distribution functions. These bound states are characterized by so peculiar weakly bound structures that classifying them into particular sizes and geometrical shapes appears to be elusive. Particularly, the ${J}^{\mathrm{\ensuremath{\Pi}}}={0}^{+}$ excited states of

^{4}\mathrm{He}_{2}^{6}\mathrm{Li}

and

^{4}\mathrm{He}_{2}^{7}\mathrm{Li}

are found to constitute giant triatomic molecules with their size amounting to several hundred bohrs.

{}^{3}

He-

{}^{3}

He-

{}^{40}

Ca,

{}^{3}

He-

{}^{4}

He-

{}^{40}

Ca, and

{}^{4}

He-

{}^{4}

He-

{}^{40}

Ca trimers, respectively. The binding energies of such molecules are estimated. We discuss the features of the channel functions associated with the hyperspherical potential curves of each system to obtain insight into the geometry of the molecules.