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Physical Review Letters

Vortex-Ring Formation by Negative Ions in He ii Under Pressure

Donald A. Neeper

Published Jul 29, 1968• 41 citations
Publisher

Abstract

It was previously shown that at temperatures \ensuremath{\ge}0.36\ifmmode^\circ\else\textdegree\fi{}K and pressures >12 atm negative ions in He II could be accelerated until they emitted rotons at velocities of about 50 m/sec. We find that at temperatures \ensuremath{\le}0.3\ifmmode^\circ\else\textdegree\fi{}K negative ions produce only vortex rings at pressures up to 16 atm.

DOI
10.1103/physrevlett.21.274

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Negative-Ion Capture by Vortex Lines in Helium II

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Physical Review•Dec 2, 1966•58 citations
It was previously shown that at temperatures \ensuremath{\ge}0.36\ifmmode^\circ\else\textdegree\fi{}K and pressures >12 atm negative ions in He II could be accelerated until they emitted rotons at velocities of about 50 m/sec. We find that at temperatures \ensuremath{\le}0.3\ifmmode^\circ\else\textdegree\fi{}K negative ions produce only vortex rings at pressures up to 16 atm.
We describe an experiment which indicates that the addition of He3{\mathrm{He}}^{3}He3 impurities to superfluid helium has a pronounced effect on the velocity at which negative ions produce vorticity (vortex rings). The He3{\mathrm{He}}^{3}He3 impurities have no effect, however, on the creation of vorticity by positive ions.
We have measured the drift velocity v‾\overline{v}v of negative ions through superfluid 4He^{4}\mathrm{He}4He for temperatures T<0.45T<0.45T<0.45 K, under a pressure of 25 bar, for electric fields $20<E<2.6\ifmmode\times\else\texttimes\fi{}{10}^{4}$ V ${\mathrm{cm}}^{\ensuremath{-}1}$. From the observed form of v‾(E)\overline{v}(E)v(E), we deduce that roton emission from an ion traveling faster than the Landau critical velocity is governed by hitherto unrecognized selection rules whereby the rotons can be created only in pairs.
Measurements have been made of the lifetime for the escape of negative ions trapped in rotating helium II as a function of temperature and pressure. These measurements concern lifetimes in the range from 10 to 1000 sec, and have been made between the temperatures of 1.09 and 1.68\ifmmode^\circ\else\textdegree\fi{}K from the vaporization pressure to the solidification pressure. At constant pressure the lifetime decreases rapidly with increasing temperature. The curves of constant lifetime in the pressure-versus-temperature plane have negative slopes dPdT\frac{\mathrm{dP}}{\mathrm{dT}}dTdP​ and positive second derivatives d2PdT2\frac{{d}^{2}P}{d{T}^{2}}dT2d2P​. The results have been interpreted in terms of the bubble model of the negative ion and the vortex-line model of the rotating superfluid. The interpretation suggests that the ion radius equals approximately 19.5 A at saturated vapor pressure and decreases to a value between 12 and 14 \AA{} at the solidification pressure. However, a significant discrepancy between theory and experiment casts some doubt on the radius values obtained.
We have studied negative-ion absorption by rotating He II from 0.98\ifmmode^\circ\else\textdegree\fi{}K to 1.7\ifmmode^\circ\else\textdegree\fi{}K. Measurements of vortex-line capture cross sections are reported as a function of temperature (0.98\ifmmode^\circ\else\textdegree\fi{}K to 1.7\ifmmode^\circ\else\textdegree\fi{}K at three electric fields (16.3, 49.0, and 97.9 V/cm) and as a function of electric field (10 to 200 V/cm) at two temperatures. Great care was taken to insure that the reported cross-section values were not affected by space-charge effects. The results are found in good agreement with the ion-capture theories developed by Donnelly and Roberts. The decrease in cross section above 1.6\ifmmode^\circ\else\textdegree\fi{}K is in agreement with the escape calculation of Parks and Donnely and supports their value of 15.96 \AA{} for the negative-ion radius.