LHCb recently announced the discovery of two exotic structures in the $J/\psi
- p$ decay channel, which have been referred to as charmonium-pentaquark
states. Resolving between the models and clarifying the nature of the
discovered hidden-charm pentaquark peaks, and possibly searching for similar
peaks with other quantum numbers, requires further experimental studies. The
states were observed in the decay mode J/ψ+p. Thus, it is natural to
expect that these pentaquarks can be produced in the photoproduction process
γ+p→Pc→J/ψ+p where these states will appear as s-channel
resonances at photon energy around 10 GeV. The energy and luminosity of the
CLAS12 photon beam permit the detailed studies of the production and decay
properties of the pentaquark resonances. By this reason the pentaquark search
at Jefferson Laboratory looks extremely attractive.