Production of large-mass diffractive states at high energies

We investigate the forward production of large-but-fixed-mass fermion diffractive states in the multichannel eikonal model in the high-energy limit. The sum over paths to reach the final diffractive state can be treated and solved as a random-walk problem with constraints, i.e., it is a diffusion problem with various boundary conditions. We find that the sum of paths is not dominated by a ''single-hard-multiple-soft'' transition path, unlike fixed-angle elastic scattering