Peratization of the vertex in the theory of weak interactions with the W-meson

The integral equation for the vertex with crossed boson lines is solved by the known peratization technique. In the zero energy approach some numerical corrections to the simple vertex are obtained and it is shown that higher order corrections cannot be neglected. The influence of these corrections on the cross-section for the neutrino production of the W-meson in the nuclear field and on the W-mass is investigated.This work is a part of a thesis written in 1965 at the Faculty of Technical and Nuclear Physics of The Czech Technical University in Prague.