  At forward rapidities and high energies we expect to probe the non-linear
regime of Quantum Chromodynamics (QCD). One of the most promising observables
to constrain the QCD dynamics in this regime is exclusive vector meson
photoproduction (EVMP). We study the EVMP in association with a leading baryon
(product of the proton dissociation) in photon-hadron interactions that take
place in $pp$ and $p$Pb collisions at large impact parameters. We present the
rapidity distributions for $\rho$ and $J/\psi$ photoproduction in association
with a leading baryon (neutron and delta states) at LHC run 2 energies. Our
results show that the $V + \Delta$ cross section is almost 30 % of the $V + n$
one. Our results also show that a future experimental analysis of these
processes is, in principle, feasible and can be useful to study the leading
particle production.
