Open AccessMBPT calculation for the fine-structure intervals of principal series np(n=39) for Na
Author(s) -
Chen Sun,
Yihua Zhu,
Ge Zi-Ming,
Lianhua He
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.153104
Subject(s) - physics , wave function , perturbation theory (quantum mechanics) , basis set , atomic orbital , angular momentum , series (stratigraphy) , exponential function , perturbation (astronomy) , quantum mechanics , atomic physics , quantum electrodynamics , mathematical analysis , mathematics , molecule , electron , paleontology , biology
The fine-structure intervals of Na principal series np(n=39) are calculated by the many-body perturbation theory (MBPT) within the framework of relativity. To deal with the problem that a large set of continuum states is required in the MBPT calculation, an exponential potential is employed to generate a discrete, finite and nearly complete set of numerical basis functions. The zeroth-order wavefunctions and eignvalues are obtained by solving the relativistic Hartree-Fock (RHF) equation and the RHF equation with the action of a potential barrier. The basis set used in this work contains intermediate orbitals with the angular momentum l 6 and in an appropriate energy range, and most of them are the so called contracted orbitals. Encouraging results are obtained using this technique to calculate the second-order correlation corrections, combining the Breit effects in a first-order perturbation approach. Compared with other theoretical calculations, the present results are much close to the experimental results.