Abstract
We investigate the properties of liquid 4 He N clusters hosting a quantized vortex pinned to a dopant atom (Ne or Xe) or molecule (SF 6 or HCN). A density functional theory is used to calculate the stationary configurations of pure and doped clusters, with and without vortex, up to N = 1000. A liquid drop formula is then proposed that aceurately describes the total energy of the complex and allows one to extrapolate the results to larger N values. We find that forming a dopant+vortex+ 4 He N complex is energetically favored below a critical size N er , which strongly depends on the type of dopant.
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