  We develop an analytical approach for the description of quantum many-body
scars in PXP models. We show that the scarred dynamics in the PXP model on a
complete bipartite graph can be interpreted as a one-dimensional chiral
scattering problem, and solve this problem analytically. The insights from this
analysis allow us to predict that dynamical signatures of scars in PXP models
can be enhanced by spin squeezing the initial states. We show numerically that
this stabilization mechanism applies not only to the complete bipartite graph
but also to one- and two-dimensional lattices, which are relevant for Rydberg
atom array experiments. Moreover, our findings provide a physical motivation
for Hamiltonian deformations reminiscent of those known to produce perfect
scars.
