  We study the nature of many-body eigenstates of a system of interacting
chiral spinless fermions on a ring. We find a coexistence of fermionic and
bosonic types of eigenstates in parts of the many-body spectrum. Some bosonic
eigenstates, native to the strong interaction limit, persist at intermediate
and weak couplings, enabling persistent density oscillations in the system,
despite it being far from integrability.
