Relativistic and QED corrections for the ground state lithiumlike ionization energies

2021 ◽  
Author(s):  
William P. Earwood ◽  
Steven R Davis
Keyword(s):  
Ground State ◽  
Leading Order ◽  
Direct Computation ◽  
Ionization Energies ◽  
Relativistic Corrections ◽  
Level Shifts

Abstract The ground state ionization energies of Z ≤ 10 lithiumlike ions are calculated using fully correlated Gaussian wavefunctions. Leading-order relativistic corrections are evaluated, while QED corrections are established with small uncertainties by directly calculating the Araki-Sucher energy and expanding the three-electron Bethe logarithm in 1/Z. The non-relativistic α6 level shifts have also been calculated, and we have used these energies to recommend ionization energies, which include estimates of the influence of the relativistic portion of the α6 energy. The results emphasize the importance of the direct computation of the complete α6 correction, but also the need for new, higher accuracy experimental ionization limits.

Testing of QED theory on the Rydberg series for the He-like multicharged ions

2002 ◽  
Vol 80 (11) ◽  
pp. 1255-1261 ◽  
Author(s):  
V G Pal'chikov ◽  
I Yu. Skobelev ◽  
A Ya. Faenov
Keyword(s):  
Quantum Electrodynamic ◽  
Ground State ◽  
Energy Levels ◽  
Rydberg States ◽  
Expansion Method ◽  
Isoelectronic Sequence ◽  
Rydberg Series ◽  
Ionization Energies ◽  
Relativistic Corrections ◽  
Bound Electrons

The paper examines the 1/Z expansion method in calculating the energy levels, ionization energies, and wavelengths of the resonant Rydberg states 1snp 1P1 for atoms belonging to the helium isoelectronic sequence. The interactions of the bound electrons are treated as a perturbation that results in the electron–electron Breit interaction, relativistic corrections, and quantum electrodynamic (QED) contributions. By comparing the calculated wavelengths with a number of observed wavelengths, the QED contributions to the ground state are analyzed. PACS Nos.: 31.20Di, 31.20Tz, 31.30Jv, 31.50+W

Relativistic corrections to reported sulfur 1s ionization energies

1987 ◽  
Vol 42 (3) ◽  
pp. 281-284 ◽  
Author(s):  
Thomas X. Carroll ◽  
De Ji ◽  
Duncan C. Maclaren ◽  
T.Darrah Thomas ◽  
Leif J. Saethre
Keyword(s):  
Ionization Energies ◽  
Relativistic Corrections

MASSES OF D AND B MESONS AND CORNELL POTENTIAL

1991 ◽  
Vol 06 (28) ◽  
pp. 2625-2637 ◽  
Author(s):  
M. R. ARAFAH ◽  
FAYYAZUDDIN
Keyword(s):  
B Mesons ◽  
Ground State ◽  
Cornell Potential ◽  
Relativistic Corrections ◽  
Dependent Potential ◽  
Predicted Values ◽  
Ground State Energies ◽  
Approximate Scheme

An approximate scheme is formulated and used to calculate ground state energies for [Formula: see text] system (q=u,d,s; Q=c,b) with Cornell potential. It is shown that predicted values agree well with the D and B masses. Spin-dependent potential and relativistic corrections are taken into account, We find that B and ηb mesons lie close to masses ( GeV ) m(B*)=5.33, [Formula: see text], m(Bs)=5.39, and m(ηb)=9.32. The ordering of 1p levels for [Formula: see text] system is discussed.

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