Three-body corrections to O({alpha}{sup 6}) fine structure in helium
- Department of Physics, University of Windsor, Windsor, Ontario, N9B 3P4 (CANADA)
Three-body corrections of order {alpha}{sup 6}m{sup 2}c{sup 2}/M to the fine-structure splittings of helium and three-body terms of order {alpha}{sup 6}mc{sup 2} in lithium are derived and expressed in terms of expectation values of nonrelativistic operators. Corrections of order {alpha}{sup 6}{mu}c{sup 2} to non-S levels in two-body systems are also calculated. Perturbative calculation of one-body kinetic energy up to order 10{sup 6} of powers of {alpha} agrees with nonperturbatively numerical calculation within 19 significant figures. Such agreement provides a direct demonstration of the correctness of perturbation theory and of a simple technique developed previously [T. Zhang, Phys. Rev. A {bold 54}, 1252 (1996)] to calculate corrections arising from severely divergent nonrelativistic operators derived from the bound-state QED and relativistic kernels. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 531769
- Journal Information:
- Physical Review A, Journal Name: Physical Review A Journal Issue: 1 Vol. 56; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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