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Nuclear recoil and vacuum-polarization effects on the binding energies of supercritical H-like ions

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Abstract

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.

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Authors and Affiliations

  1. Department of Physics, St. Petersburg State University, Ulianovskaya 1, Petrodvorets, 198504, Saint Petersburg, Russia

    Ivan A. Aleksandrov & Vladimir M. Shabaev

  2. ITMO University, Kronverkskii ave 49, 197101, Saint Petersburg, Russia

    Ivan A. Aleksandrov

  3. Institut für Theoretische Physik, TU Dresden, 01062, Dresden, Germany

    Günter Plunien

Authors
  1. Ivan A. Aleksandrov
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  2. Günter Plunien
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  3. Vladimir M. Shabaev
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Correspondence to Ivan A. Aleksandrov.

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Aleksandrov, I., Plunien, G. & Shabaev, V. Nuclear recoil and vacuum-polarization effects on the binding energies of supercritical H-like ions. Eur. Phys. J. D 70, 18 (2016). https://doi.org/10.1140/epjd/e2015-60644-y

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  • DOI: https://doi.org/10.1140/epjd/e2015-60644-y

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