  As part of experimental measurements by the ATLAS collaboration during 2015
and 2018 years of light-on-light scattering in Pb+Pb collisions, at an
integrated luminosity of 2.2 nb$^{-1}$ and energy of 5.02 TeV, we modeled the
cross sections of the axion-like particle (ALP) production, candidates for dark
matter, with subsequent decay into gamma quanta. The obtained calculations
showed the dependence of the cross section on the number of ALPs events, on the
energy in the center of mass system in proton-proton and Pb-Pb collisions and
on the mass region of the ALPs. Using four models with the parameters, which
specify the Good-Walker eigenstates, we calculated the ALP production cross
sections in proton-proton collisions for the single dissociation and
diffractive dissociation components.
