Relativistic and QED Corrections for the Beryllium Atom

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Date

2004

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American Physical Society

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Abstract

Complete relativistic and quantum electrodynamics corrections of order α2 Ry and α3 Ry are calculated for the ground state of the beryllium atom and its positive ion. A basis set of correlated Gaussian functions is used, with exponents optimized against nonrelativistic binding energies. The results for Bethe logarithms lnk0(Be)=5.750 34(3) and lnk0(Be+)=5.751 67(3) demonstrate the availability of high precision theoretical predictions for energy levels of the beryllium atom and light ions. Our recommended value of the ionization potential 75 192.514(80)   cm-1 agrees with equally accurate available experimental values.

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Keywords

beryllium atom, relativistic corrections, quantum electrodynamics corrections, Bethe logarithms, Ionization potential, Correlated Gaussian functions

Citation

Phys. Rev. Lett. 92, 213001 (2004)

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Uniwersytet im. Adama Mickiewicza w Poznaniu
Biblioteka Uniwersytetu im. Adama Mickiewicza w Poznaniu
Ministerstwo Nauki i Szkolnictwa Wyższego