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In the model of interaction of a spinor field with a homogeneous isotropic material plane, the possibility of the passage of a Dirac particle through it without reflection and a change in polarization isstudied. The model was proposed earlier in the framework of the Symanzik approach to describe the interaction of spinor quantum fields with two-dimensional materials. In its framework the scattering processes of Dirac particles and the properties of their bound states were investigated. In this paper, we study the conditions under which the plane is completely transparent to the particles. A description of the region of model parameters characterizing the properties of the plane material is obtained explicitlyand given in the article, as well as expressions in terms of these parameters for the momentum and polarization of the particle at which interaction with the plane does not affect its movement.

Zero-range potential in the model of the spinor field interacting with a material plane: conditions for transparency of the plane to Dirac particles