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- W2016768225 abstract "For potential wells with long-range attractive tails proportional to $ensuremath{-}1/{r}^{3}$, as occur in the resonant dipole-dipole interaction in homonuclear alkali-metal dimers, we present a highly accurate analytical expression for the tail contribution to the quantization function $F(E)$. This quantization function determines the near-threshold bound-state energies via the quantization rule ${n}_{mathrm{th}}ensuremath{-}n=F({E}_{n})$. The performance of the quantization function derived in this paper is demonstrated by applying it to a model Lennard-Jones potential and to vibrational bound-state spectra of sodium dimers (Na${}_{2}$). These results are compared with those obtained via the semiclassical LeRoy-Bernstein formula which neglects quantum effects that are important in the near-threshold regime." @default.
- W2016768225 created "2016-06-24" @default.
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- W2016768225 date "2011-02-02" @default.
- W2016768225 modified "2023-10-18" @default.
- W2016768225 title "Near-threshold quantization for potentials with inverse-cube tails" @default.
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- W2016768225 doi "https://doi.org/10.1103/physreva.83.022701" @default.
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