Open AccessCalculation of helium 1D—3D term intervals for 1snd(n=4—11) states
Author(s) -
He Li-Ming,
Wei Cao,
Xueqian Chen,
Zhu Yun-Xia
Publication year - 2005
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.54.5077
Subject(s) - rydberg formula , physics , perturbation (astronomy) , perturbation theory (quantum mechanics) , helium , wave function , bound state , singlet state , rayleigh scattering , series expansion , atomic physics , quantum mechanics , excited state , ionization , ion
With many-body perturbation theory (MBPT), 1D—3D term intervals of helium 1snd(n=4—11) configurations have been calculated. Based on two different models, Rayleigh-Schrdinger perturbation expansion terms only consisting of bound states and those of continua are calculated respectively. For bound states, the zeroth-order wave functions are strictly generated from self-iteration solutions of Hartree equation and residues of infinite perturbation series are dealt with by integral processing method. For continuum parts, a simplified hydrogen potential model is adopted. According to Rayleigh-Schrdinger expansion, the perturbation corrections to Rydberg states have been evaluated up to the third-order terms. From the calculation, the energy splittings are mainly attributed to bound parts. Singlet-triplet level splittings yielded here are found to agree quite well with two sets of experimental results.