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Physical Review A

Vortex-Wave Scattering by a Spherical Impurity

Ienari Iguchi

Published Dec 1, 1971• 5 citations
Publisher

Abstract

The probabilities of reflection and transmission of vortex waves by a spherical impurity are derived in the long-wavelength limit. The results are exactly the same as those for a cylindrical impurity, showing that the shape of a trapped ion by a vortex does not affect the mobility calculation given previously.
DOI
10.1103/physreva.4.2410

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Structure and energy of a superfluid vortex line and a neutral impurity (He3) trapped by it are investigated in the Hartree-Fock approximation. In dilute gas the shape of the impurity is prolate along the vortex line, while in dense gas it becomes more spherical. In liquid helium the ratio of the axes is estimated at √0.842 and the binding energy at 3.5°K. A rough estimate of the saturation density is given. It is pointed out that at this density the tension has decreased to 60% of that in pure He4.
The mobility of negative ions trapped on linear vortices in rotating superfluid helium has been measured by a time-of-flight technique in the temperature range $0.8\ifmmode^\circ\else\textdegree\fi{}\mathrm{K}<T<1.6\ifmmode^\circ\else\textdegree\fi{}\mathrm{K}$. Measurements could not be extended below 0.8\ifmmode^\circ\else\textdegree\fi{}K because, contrary to the present theory, the ion escape rate became too large. No evidence of direct trapping of positive ions by vortex lines was observed down to 0.4\ifmmode^\circ\else\textdegree\fi{}K. The trapped-ion mobility is interpreted in terms of scattering of the ion by thermal distributions of quantized vortex waves and rotons localized about the vortex axis.