English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We present a simple numerical procedure for calculating the irrotationalhydrodynamic flow in a helium solvation structure around a spherical solute inlinear motion through superfluid helium. The calculation requires only theradial helium density around the impurity as input. From the resultingirrotational flow, the helium contribution to the effective mass of the soluteis calculated. The results for alkali cations are compared to recent many-bodyVariational Monte Carlo (VMC) calculations by M. Buzzacchi, D. E. Galli, and L.Reatto (Phys. Rev. B., {\bf 64} 094512 (2001)). The helium contribution to theeffective masses calculated by the two methods are 12.9(4.6) versus 9.4 u forLi$^+$, 48.2(5.6) versus 52.1 u for Na$^+$, 69.6(4.8) versus 70.1 u for K$^+$,and 6.4(8.8) versus 6.8 for Cs$^+$, with the VMC result listed first (with one$\sigma$ statistical error estimate) and the hydrodynamic result listed second.For the cases of Na$^+$ and K$^+$, the hydrodynamic calculation treated thefirst helium solvation shell as a rigid solid, as suggested by the VMCcalculations; treating the first solvent layer as part of the superfluid leadto considerable underestimate, $\approx 50%$, of the mass increase in bothcases. In all cases, the agreement of the two results are in within the errorestimate of the VMC calculation, demonstrating the accuracy of hydrodynamictreatment of helium motion even on the atomic length scale.Comment: 9 pages, including 1 figur

Calculation of Hydrodynamic Mass for Atomic Impurities in Helium