Density functional calculations for the structure of vortices in superfluid4He

The structure of a rectilinear vortex in superfluid ⁴ He at zero temperature is studied using a Density Functional method. The superfluid circulation is included via the Feynman-Onsager approximation. The energy and the density profile of a vortex are predicted for several values of the external pressure. The instability of the vortex line at negative pressure is discussed.