  Attenuation of the singlet quark--anti-quark bound state passing through a
random external SU(N) color field at high energy is studied within the eikonal
framework as a model for the absorption of a quarkonium by nuclear target. For
a thick target of length L the penetration probability is suppressed
non-exponentially and behaves asymptotically $\propto 1/LN^2$ with 1/N^2
indicating the equi-partitioning in the color space. An approximate rational
expression for the penetration of the small Gaussian bound state is found which
allows the explicit L and N dependences, and shows the attenuation is in the
powers of L although the approach to the asymptote is rather slow.
