  The structure of vortices in Bose-Einstein condensed atomic gases is studied
taking into account many-body correlation effects. It is shown that for excited
vortices the particle density in the vortex core increases as the angular
momentum of the system increases. The core density can increase by several
times with only a few percent change in the angular momentum. This result
provides an explanation for the observations in which the measured angular
momentum is higher than the estimation based on counting the number of
vortices, and the visibility of the vortex cores is simultaneously reduced. The
calculated density profiles for the excited vortices are in good agreement with
experimental measurements.
