Abstract
We have performed high-accuracy quantum mechanical calculations for the three lowest S states of the beryllium ion (B9 e+). The nonrelativistic part of the calculations was done with the variational approach and explicitly included the nuclear motion (i.e., the finite-nuclear-mass approach). The nonrelativistic wave functions were expanded in terms of explicitly correlated Gaussian functions. These nonrelativistic functions were subsequently used to calculate the leading α2 relativistic corrections (α=1/c) and the α3 and α4 QED (quantum electrodynamics) corrections. In the α4 QED correction we only accounted for its dominant component typically contributing about 80% of the correction. With those the present results are the most accurate ever obtained for B9 e+. They also agree with the experimentally measured transitions within less than 0.1 cm-1.
| Original language | English |
|---|---|
| Article number | 062509 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 77 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - Jun 12 2008 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
Cite this
Three lowest S states of B9 e+ calculated with including nuclear motion and relativistic and QED corrections. / Stanke, Monika; Komasa, Jacek; Kȩdziera, Dariusz; Bubin, Sergiy; Adamowicz, Ludwik.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 77, No. 6, 062509, 12.06.2008.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Three lowest S states of B9 e+ calculated with including nuclear motion and relativistic and QED corrections
AU - Stanke, Monika
AU - Komasa, Jacek
AU - Kȩdziera, Dariusz
AU - Bubin, Sergiy
AU - Adamowicz, Ludwik
PY - 2008/6/12
Y1 - 2008/6/12
N2 - We have performed high-accuracy quantum mechanical calculations for the three lowest S states of the beryllium ion (B9 e+). The nonrelativistic part of the calculations was done with the variational approach and explicitly included the nuclear motion (i.e., the finite-nuclear-mass approach). The nonrelativistic wave functions were expanded in terms of explicitly correlated Gaussian functions. These nonrelativistic functions were subsequently used to calculate the leading α2 relativistic corrections (α=1/c) and the α3 and α4 QED (quantum electrodynamics) corrections. In the α4 QED correction we only accounted for its dominant component typically contributing about 80% of the correction. With those the present results are the most accurate ever obtained for B9 e+. They also agree with the experimentally measured transitions within less than 0.1 cm-1.
AB - We have performed high-accuracy quantum mechanical calculations for the three lowest S states of the beryllium ion (B9 e+). The nonrelativistic part of the calculations was done with the variational approach and explicitly included the nuclear motion (i.e., the finite-nuclear-mass approach). The nonrelativistic wave functions were expanded in terms of explicitly correlated Gaussian functions. These nonrelativistic functions were subsequently used to calculate the leading α2 relativistic corrections (α=1/c) and the α3 and α4 QED (quantum electrodynamics) corrections. In the α4 QED correction we only accounted for its dominant component typically contributing about 80% of the correction. With those the present results are the most accurate ever obtained for B9 e+. They also agree with the experimentally measured transitions within less than 0.1 cm-1.
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U2 - 10.1103/PhysRevA.77.062509
DO - 10.1103/PhysRevA.77.062509
M3 - Article
VL - 77
JO - Physical Review A
JF - Physical Review A
SN - 1050-2947
IS - 6
M1 - 062509
ER -