  We use the coordinate Bethe ansatz to study the Lieb-Liniger model of a
one-dimensional gas of bosons on a finite-sized ring interacting via an
attractive delta-function potential. We calculate zero-temperature correlation
functions for seven particles in the vicinity of the crossover to a localized
solitonic state and study the dynamics of a system of four particles quenched
to attractive interactions from the ideal-gas ground state. We determine the
time evolution of correlation functions, as well as their temporal averages,
and discuss the role of bound states in shaping the postquench correlations and
relaxation dynamics.
