  We present first estimates of NICA sensitivity to Standard Model extensions
with light hypothetical particles singlet under the known gauge
transformations. Our analysis reveals that NICA can explore new regions in the
parameter spaces of models with a hidden vector and models with an axion-like
particle of masses about 30-500\,MeV. Some of these regions seem unreachable by
other ongoing and approved future projects. NICA has good prospects in
discovery ($5\sigma$) of the new physics after 1 year of data taking.
