Scar states in a system of interacting chiral fermions

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.