On charge form factor and fermion eigen energy in three-dimensional electrodynamics

The particle static field and its eigen energy for the particle charge, distributed by the volume in the 2 + 3-measurement space, are considered. The static field potential in this case by r → ∞ has the same asymptotics as by the delta-shape form factor, if the contribution of the vacuum polarization is accounted for; the above potential at the coordinate origin is regular. The proposed form factor makes it possible to obtain the expression for the charge distribution inside the particle in the closed form. It is established that by application of the proposed form factor the diagonal components of the field extension tensor, created by the particle, are reduced to zero as well as the particle field mass, calculated by the classic method, proves to be the finite one. This mass coincides with the mass, obtained through the quantum calculations by the order of the value