Perturbativity vs nonperturbativity in QED-effects for H-like atoms with Zα > 1статья

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[1] Roenko A., Sveshnikov K. Perturbativity vs nonperturbativity in qed-effects for h-like atoms with zα > 1 // International Journal of Modern Physics A. — 2017. — Vol. 32, no. 22. — P. 1750130. The behavior of levels near the threshold of the lower continuum in superheavy H-like atoms with Zα > 1, caused by the interaction ∆U_{AMM} of the electron’s magnetic anomaly (AMM) dynamically screened at small distances << 1/m, with the Coulomb field of atomic nucleus is considered by taking into account the complete dependence of electron’s wave function (WF) on Zα. It is shown that the calculation of the contribution caused by ∆U_{AMM} via both the quark structure and the whole nucleus, considered as a uniformly charged extended Coulomb source, leads to results, which coincide within the accepted precision of calculations. It is also shown that there appears some difference in results between perturbative and nonperturbative methods of accounting for the contribution from ∆U AMM within the corresponding Dirac equation (DE) in favor of the latter. Moreover, the growth rate of the contribution from ∆U_AMM reaches its maximum at Z ∼ 140–150, while by further increase of Z into the supercritical region Z >> Z_{cr,1s}, the shift of levels caused by ∆U_{AMM} near the lower continuum decreases monotonically to zero. The last result is generalized to the whole self-energy contribution to the shift of levels and so to the possible behavior of radiative QED-effects with virtual photon exchange near the lower continuum. [ DOI ]

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