“…For the metal surface parameters, within the Sommerfeld model, we use the value of the work function φ = 5eV and for the potential depth U 0 = 15eV. The dielectric film is characterized by the width s 0 , and by the dielectric constants = 2, 4 and 8.We analyze the arbitrary collision geometry for the angles of incidence Φ in = π/2, 3π/8 and π/4.Due to the interaction of the HCI with solid surface the ionic charge decreases in time according to the cascade neutralization scenario Q = Z → Z − 1 → .... → Q fin , see The neutralization process in the MDV-system we treat within the framework of the TVM and micro-staircase model (Majkić et al, 2017(Majkić et al, , 2019. According to the TVM the state of the active electron e − is described by two state vectors |Ψ 1 (t) and |Ψ 2 (t) , which simultaneously evolve in two opposite directions of time.…”