УСРЕДНЕННАЯ ПО ВСЕМ АТОМНЫМ ЭЛЕКТРОНАМ ВЕРОЯТНОСТЬ АННИГИЛЯЦИИ ПОЗИТРОНОВ, ИСПУЩЕННЫХ ПРИ β+РАСПАДЕ

An approximate method for calculating the proβaβility of single-photon annihilation of a positron with an atomic electron at the β+-decay averaged over all electrons of the daughter atom is proposed. The electrons are descriβed in the framework of the Thomas -Fermi statistical model. This approximation makes it easy the calculation of the average proβaβilities of various processes involving all the electrons of the atom. The total proβaβility of single-photon annihilation is calculated using an approximate analytical expression for the atomic electrons’ density. A good agreement βetween the proβaβilities calculated in the proposed approach and the estimates oβtained in the framework of quantum mechanics was oβtained. [ABSTRACT FROM AUTHOR]