The Brueckner-Goldstone many-body perturbation theory has been applied in a calculation of hyperfine structure (hfs) of sodium in the ground (²S1/2) state. Our result for A (as in A→I·→J) is 857.8001±{}6 Mc/sec, in good agreement with the experimental result of 885.8131±{}0.0001 Mc/sec. The major contributions beyond the restricted Hartree-Fock result of 622.6430 Mc/sec arise from diagrams describing the exchange core-polarization effect. This contributes 139.6665 Mc/sec, in agreement with the existing unrestricted Hartree-Fock (UHF) and moment-perturbation (MP) results. All diagrams involving two orders of correlation interactions and associated ladders were calculated and were found to contribute 95.49 Mc/sec. Higher-order diagrams involving three or more orders of correlation interaction were investigated and found to be of minor importance in affecting the hfs constant of soidum.
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Lee et al. (1970) studied this question.
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