  We study a one-dimensional quantum system with an arbitrary number of
hard-core particles on the lattice, which are subject to a deterministic
attractive interaction as well as a random potential. Our choice of interaction
is suggested by the spectral analysis of the XXZ quantum spin chain. The main
result concerns a version of high-disorder Fock-space localization expressed
here in the configuration space of hard-core particles. The proof relies on an
energetically motivated Combes-Thomas estimate and an effective one-particle
analysis. As an application, we show the exponential decay of the two-point
function in the infinite system uniformly in the particle number.
