The investigation of a wake potential of non-relativistic protons in the case of their orientation motion in solid-state plasma of ionic crystals

For non-relativistic protons channeled along the planes (axes) in ionic crystals the time-dependent induced electric dipole moments of the crystalline medium ions under the influence of protons electric fields are calculated. For this dipoles system the summary non-stationary scalar potential both in planar and axial cases is found. At this on the example of an axial orientation motion it is shown that this potential can be expanded on two components, one of which contributes to the interaction potential of the channeled protons with the crystal lattice, and the other, correspondingly, appears in the form of so-called ''wake potential'', effecting only protons velocity.