Scattering cross section is derived for single act of scattering .Usually it is a function of (relative) energy of colliding particles and other parameters ( e.g spin) as well. Let take a typical case of scattering ( thermalization) of neutrons in nuclear reactor ( or atomic bomb) . A single neutron undergo multiple scattering events "seeing" different cross sections ( each time ) and as it energy drops to some desired level then the cross section rise dramatically and neutrons are "cached" by Uranium nuclei leading to nuclear fission. You can imagine cross section as a "magic " target of variable size. Again in relation to neutrons .Suppose you shoot high power rifle ( high energy neutrons) . In that case you see your target as small as e.g. a tennis ball .For thermal low energy neutrons, or shooting bi-bi gun , you will see the same target as big as a soccer ball. We say that , we have case of resonance scattering cross section or resonant cross section for particular reaction. Cross section is measured in barns and has dimension of area.
Is that answer helpful? Please ask , I will be happy to help you as far as can.
Elmira, usual way to ask your question is to measure dependence of scattering value on the concentration of the particles. If (Scattering value/Particles concentration) is constant, it means that you have single scattering, otherwise it is multiple oanswer eventsne
If your particles are sufficiently far from each other, you can use the single scattering approximation where the total cross section is a summation of single scattering cross section of each particle.