  We consider a single impurity with spin $S$ embedded in a three-dimensional
antiferromagnetic system which is close to the quantum critical point (QCP),
separating magnetically ordered and disordered phases. Approaching the QCP from
the disordered phase we study the spatial distribution of spin density and
staggered magnetization induced by the impurity. Using two methods
(self-consistent Born approximation and renormalization group) we found a power
law decay of the spin density $\propto 1/r^3$, and of the staggered
magnetization $\propto 1/r$ with relevant logarithmic corrections. We
demonstrate that the local spin at the impurity site $r=0$ approaches to zero
at the QCP. We show that in the semiclassical limit of large $S$ the problem is
equivalent to the exactly solvable independent boson model. Our results
demonstrate existence of spin-charge separation in the three dimensional
systems in the vicinity of the QCP.
