  Bound and resonance states of the dipole-bound anion of hydrogen cyanide
HCN$^-$ are studied using a non-adiabatic pseudopotential method and the
Berggren expansion technique involving bound states, decaying resonant states,
and non-resonant scattering continuum. We devise an algorithm to identify the
resonant states in the complex energy plane. To characterize spatial
distributions of electronic wave functions, we introduce the body-fixed density
and use it to assign families of resonant states into collective rotational
bands. We find that the non-adiabatic coupling of electronic motion to
molecular rotation results in a transition from the strong-coupling to
weak-coupling regime. In the strong coupling limit, the electron moving in a
subthreshold, spatially extended halo state follows the rotational motion of
the molecule. Above the ionization threshold, electron's motion in a resonance
state becomes largely decoupled from molecular rotation. Widths of
resonance-band members depend primarily on the electron orbital angular
momentum.
