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- W2022244821 abstract "The low-energy behavior of the partial-wave Jost function for scattering by a long-range $1∕{r}^{s}$ $(s>2)$ central potential is investigated analytically using the linear variant of the variable-phase equation. An exact expansion of the Jost function in powers of the wave number $k$ is derived iteratively and shown to be simpler compared to the modified effective-range expansion of the phase shift. Improved expansions are determined explicitly for $s=3$ and $s=4$. It is suggested that the Jost function offers a practical alternative for interpolating low-energy cross sections and extracting scattering lengths; this is illustrated by fitting the Jost function, up to a normalizing constant, to the integral cross section for elastic collisions of slow electrons with ${mathrm{N}}_{2}$ molecules." @default.
- W2022244821 created "2016-06-24" @default.
- W2022244821 creator A5020992183 @default.
- W2022244821 creator A5049211079 @default.
- W2022244821 date "2006-11-28" @default.
- W2022244821 modified "2023-10-18" @default.
- W2022244821 title "Low-energy expansion of the Jost function for long-range potentials" @default.
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- W2022244821 doi "https://doi.org/10.1103/physreva.74.052715" @default.
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