  In this paper, we investigate the observational constraints on the scenario
of vacuum energy interacting with cold dark matter. We consider eight typical
interaction forms in such an interacting vacuum energy scenario. The
observational data used in this work to constrain these models include the JLA
sample of type Ia supernovae observation, the Planck 2015 distance priors data
of cosmic microwave background anisotropies observation, the baryon acoustic
oscillations data, and the Hubble constant direct measurement. We find that the
current observational data almost equally favor these interacting vacuum energy
models. We also find that for all these models of vacuum energy interacting
with cold dark matter the case of no interaction is actually well consistent
with the current observational data within 1$\sigma$ range.
