  We assume that the recently reported excess over Standard Model expectations
in the diphoton production is originated from a new scalar boson phi which
interacts with photons through the coupling proportional to phi F^2. We obtain
the cross section for semi-elastic production process pp-> p gamma p-> p phi q
X by considering phi-photon-photon and phi-photon-Z couplings and discuss the
constraints on the coupling parameters. We investigate the potential of the
semi-elastic production process to probe phi-photon-photon and phi-photon-Z.
