A space-time method of description of Bremsstrahlung emission in α-decay of heavy nuclei

A space-time method of description of the emission of photons in the α-decay of heavy nuclei is submitted.The method is based on the quantum mechanical one-particle model of the α-decay of a nucleus with use of a decay barrier,it uses the multipolar expansion of the vector potential of an electromagnetic field.a description of the emission of photons is fulfilled on the basis of quantum electrodynamics.a calculations of the Bremsstrahlung spectrum for nucleus 214Po with the account of E1 and M1 transitions in the approximation of monochromatic waves is carried out.Times of tunneling of an α-particle through the decay barrier are found with the account of the photon emission and without it.A difference of these two times represents a braking of the α-particle on its tunneling,which is related to the sub-barrier Bremsstrahlung emission