The Dirac Hamiltonian including nuclear recoil and vacuum-polarization operators is considered in a supercritical regime Z> 137. It is found that the nuclear recoil operator derived within the Breit approximation "regularizes" the Hamiltonian for the point-nucleus model and allows the ground state level to go continuously down and reach the negative energy continuum at a critical value Z cr ≈ 145. If the Hamiltonian contains both the recoil operator and the Uehling potential, the 1s level reaches the negative energy continuum at Z cr ≈ 144. The corresponding calculations for the excited states have been also performed. This study shows that, in contrast to previous investigations, a point-like nucleus can have effectively the charge Z> 137. Graphical abstract: [Figure not available: see fulltext.]
CITATION STYLE
Aleksandrov, I. A., Plunien, G., & Shabaev, V. M. (2016). Nuclear recoil and vacuum-polarization effects on the binding energies of supercritical H-like ions. European Physical Journal D, 70(1). https://doi.org/10.1140/epjd/e2015-60644-y
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