Coulomb scattering in the massless Nelson model IV. Atom–electron scattering

We consider the massless Nelson model with two types of massive particles which we call atoms and electrons. The interact photons via an infrared regular form-factor thus they are Wigner-type sharp mass-shells. electrons have singular infraparticles accompanied by soft-photon clouds correlated their velocities. In weak coupling regime, construct scattering states one atom electron, demonstrate asymptotic clustering into individual particles. proof relies on Cook’s argument, estimatesblack, non-stationary phase method. latter technique requires estimates derivatives ground state wave functions fiber Hamiltonians model, were proven in earlier papers this series. Although rely black studies atom–atom electron–photon paper is written a self-contained manner. A perspective open problem electron–electron also given.