  We study a stationary Gibbs particle process with deterministically bounded
particles on Euclidean space defined in terms of an activity parameter and
non-negative interaction potentials of finite range. Using disagreement
percolation we prove exponential decay of the correlation functions, provided a
dominating Boolean model is subcritical. We also prove this property for the
weighted moments of a U-statistic of the process. Under the assumption of a
suitable lower bound on the variance, this implies a central limit theorem for
such U-statistics of the Gibbs particle process. A byproduct of our approach is
a new uniqueness result for Gibbs particle processes.
