Deep penetration of a hadronic internuclear cascade into matter at high energy and design of radiation shielding for strong-current accelerators

The author explain some physical laws of the propagation of a hadronic internuclear cascade in matter at high energy at large distances from the source and we derive some approximate asymptotic expressions for the distribution function of hadronic functions. We consider the propagation of an N-component internuclear cascade (N1 species of neutral hadrons and N-N1 charged hadrons) in an unbounded homogeneous medium with a flat monodirectional (along the z axis) and monoenergetic (energy E0) source of particles of species j0, located in the plane z = O. We assume that secondary articles produced in elementary acts of interaction and decay fly out in the direction of the motion of the primary particle, which is entirely natural in the high-energy range. The system of kinetic equations that describes the cascade propagation is given