  It is pointed out that "the colorless objects" in diffractive lepton-nucleon
scattering in the small-$x_B$ region can be probed by measuring the scaled
factorial moments of final-state-hadrons and the dependence of their scaling
behavior upon the diffractive kinematic variables. The Monte Carlo
implementation of RAPGAP and JETSET are discussed as illustrative examples. The
results of these model-calculations show in particular that inclusion of the
contributions from the gamma gluon fusion processes can considerably enlarge
the power of the scaled factorial moments. The possibility for probing the
anomalous scaling behaviors of probability moments of the transverse energies
in HERA calorimeter environment is also discussed.
