A massive young star cluster, initially embedded in its parent molecular cl
oud, will spiral into the Galactic center from less than or similar to 30m(
6)(1/2) during the lifetime of its most massive stars, if the combined tota
l mass is similar to 10(6)m(6) M.. On its way inward, the system loses most
of its mass to the strong tidal field, until the dense cluster core of hig
h-mass stars is finally disrupted near the central black hole. A simple mod
el is presented to argue that this scenario may, under plausible conditions
, explain the observed location and rotation of the Galactic center He I st
ars. Accretion of star clusters into the Galactic center could be recurrent
and could play an important role in regulating the activity of Sagittarius
A*.