ON A KINETIC-THEORY OF ELECTROMAGNETIC SHOWERS IN STRONG MAGNETIC-FIELDS

The cascade mechanism of electromagnetic shower evolution in a strong magnetic field is considered. It is based on the kinetic equations for distribution functions of such particles as electrons, positrons and photons. The differential-difference equations for Mellin transforms o f the distribution functions are derived and solved in both adiabatic and modified adiabatic approximations. We calculate the differential a nd integral spectra of particles and other characteristics of the show er, i.e. the 'track' length, the position of the centre of gravity, th e longitudinal spread and the positions of the maxima of the distribut ion functions.