  We study the single-file dynamics of three classes of active particles:
run-and-tumble particles, active Brownian particles and active
Ornstein-Uhlenbeck particles. At high activity values, the particles,
interacting via purely repulsive and short-ranged forces, aggregate into
several motile and dynamical clusters of comparable size, and do not display
bulk phase-segregation. In this dynamical steady-state, we find that the
cluster size distribution of these aggregates is a scaled function of the
density and activity parameters across the three models of active particles
with the same scaling function. The velocity distribution of these motile
clusters is non-Gaussian. We show that the effective dynamics of these clusters
can explain the observed emergent scaling of the mean-squared displacement of
tagged particles for all the three models with identical scaling exponents and
functions. Concomitant with the clustering seen at high activities, we observe
that the static density correlation function displays rich structures,
including multiple peaks that are reminiscent of particle clustering induced by
effective attractive interactions, while the dynamical variant shows
non-diffusive scaling. Our study reveals a universal scaling behavior in the
single-file dynamics of interacting active particles.
