scholarly journals Relativistic multireference many-body perturbation theory for open-shell ions with multiple valence shell electrons: the transition rates and lifetimes of the excited levels in chlorinelike Fe X

2010 ◽  
Vol 43 (7) ◽  
pp. 074022 ◽  
Author(s):  
Yasuyuki Ishikawa ◽  
Juan A Santana ◽  
Elmar Träbert
Keyword(s):  
Perturbation Theory ◽  
Open Shell ◽  
Valence Shell ◽  
Transition Rates ◽  
Many Body ◽  
Many Body Perturbation Theory

Relativistic many-body calculations of atomic properties in Pd-like ions

2008 ◽  
Vol 86 (1) ◽  
pp. 131-149 ◽  
Author(s):  
U I Safronova ◽  
R Bista ◽  
R Bruch ◽  
H Merabet
Keyword(s):  
Perturbation Theory ◽  
Negative Energy ◽  
Second Order ◽  
Energy Splitting ◽  
Transition Rates ◽  
Matrix Elements ◽  
Many Body ◽  
Negative Energy States ◽  
Many Body Perturbation Theory ◽  
Energy States

Wavelengths, transition rates, and line strengths are calculated for the 85 possible multipole transitions between the excited 4p6 4d9 4f, 4p6 4d9 5l, 4p5 4d10 4f, and 4p5 4d10 5l states and the ground 4p6 4d10 state in Pd-like ions with the nuclear charges ranging from Z = 47 to 100. Relativistic many-body perturbation theory (RMBPT), including the Breit interaction, is used to evaluate energies and transition rates for multipole transitions in hole–particle systems. This method is based on the relativistic many-body perturbation theory, agrees with MCDF calculations in lowest order, includes all second-order correlation corrections, and includes corrections from negative energy states. The calculations start from a [Zn]4p64d10 Dirac–Fock potential. First-order perturbation theory is used to obtain intermediate-coupling coefficients, and second-order RMBPT is used to determine the matrix elements. The contributions from negative-energy states are included in the second-order multipole matrix elements. The resulting transition energies and transition rates are compared with experimental values and with results from other recent calculations. Trends of the transitions rates for the selected multipole transitions as function of Z are illustrated graphically. The Z dependence of the energy splitting for all triplet terms of the 4p64d9 4f and 4p64d9 5l configurations are shown for Z = 47–100. PACS Nos.: 31.15.Ar, 31.15.Md, 32.70.Cs, 32.30.Rj, 31.25.Jf

Many-body perturbation theory with a restricted open-shell Hartree—Fock reference

1991 ◽  
Vol 187 (1-2) ◽  
pp. 21-28 ◽  
Author(s):  
Walter J. Lauderdale ◽  
John F. Stanton ◽  
Jürgen Gauss ◽  
John D. Watts ◽  
Rodney J. Bartlett
Keyword(s):  
Perturbation Theory ◽  
Open Shell ◽  
Many Body ◽  
Hartree Fock ◽  
Many Body Perturbation Theory
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