  Models which associate the origin of the ultra-high energy cosmic rays
(UHECR) with decays of relic superheavy particles predict the anisotropy of
UHECR flux toward the Galactic center. We use the existing SUGAR data, which
covered the Galactic center best so far, to look for such a signal and limit
the fraction of UHECR produced by this mechanism. The absence of anisotropy
toward the Galactic center in the SUGAR data implies at 95% confidence level
that the fraction of SHDM-related cosmic rays should be less than 20% at
$E>1\times10^{19}$ eV and less than 50% at $E>4\times10^{19}$ eV.
