Abstract: The increased luminosity of modern accelerators allows the scope of research to be expanded in experiments on fixed targets in high-energy physics. New prospects are thus opening up for studying so-called cumulative processes. These can be associated with the formation of the multi-quark configurations within nuclei (so-called fluctons, which are dense clots of cold quark–gluon plasma). Their detection and study in hadron collisions is possible by registering secondary particles in the region kinematically forbidden for reactions on free nucleons. It is of particular interest to study correlations between the production of cumulative particles and particles that contain strange quarks and heavy flavors, an increase in the yield of which is expected in cumulative processes. The concept of a new detector for registering particles in hadron–hadron collisions in cumulative processes is presented, along with the corresponding results from their modeling.