Radiation logarithm in the Hartree-Fock model

The radiation logarithms L-Z have been calculated within the Hartree-Fock m odel. That the atomic form factors are different in the Thomas-Fermi and Ha rtree-Fock models results in different values of L-Z within these two model s. The parameter B-Z in the representation L-Z = ln(B(Z)Z(-1/3)) is constan t in the Thomas-Fermi model, but it depends on the atomic number Z in the H artree-Fock model. For light elements, with the exception of hydrogen, L-Z and B-Z values are smaller in the Hartree-Fock model than in the Thomas-Fer mi model. The most significant distinctions are observed in the region of H e and Li and in the region of Ne, Na, and Mg-that is, in the vicinity of cl osed shells. With increasing Z, the distinctions between the results obtain ed within the two models decreases, but B-Z approaches the Thomas-Fermi val ue of 183 nonmonotonically, undergoing oscillations. A similar effect is ob served for radiative losses of electrons and muons and for the energy losse s of muons by the production of electron-positron pairs.