Scaling predictions for radii of weakly bound triatomic molecules

Details Scaling predictions for radii of weakly bound triatomic molecules Scaling predictions for radii of weakly bound triatomic molecules

2003-03-08

arxiv.org/abs/physics/0303031v2

Phys.Rev.A68:012506,2003

Physics

Atomic and Molecular Clusters

7 pages, 2 figures

Scientific paper

10.1103/PhysRevA.68.012506

The mean-square radii of the molecules $^4$He$_3$, $^4$He$_2-^6$Li, $^4$He$_2-^7$Li and $^4$He$_2-^{23}$Na are calculated using a three-body model with contact interactions. They are obtained from a universal scaling function calculated within a renormalized scheme for three particles interacting through pairwise Dirac-delta interaction. The root-mean-square distance between two atoms of mass $m_A$ in a triatomic molecule are estimated to be of de order of ${\cal C}\sqrt{\hbar^2/[m_A(E_3-E_2)]}$, where $E_2$ is the dimer and $E_3$ the trimer binding energies, and ${\cal C}$ is a constant (varying from $\sim 0.6$ to $\sim 1$) that depends on the ratio between $E_2$ and $E_3$. Considering previous estimates for the trimer energies, we also predict the sizes of Rubidium and Sodium trimers in atomic traps.

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