Drake, Gordon W. F.

McKenzie, D. K.

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University of WindsorScholarship at UWindsorPhysics Publications Department of Physics1993Erratum: Variational calculation for the groundstate of lithium and QED corrections for Li-likeions (Physical Review A (1993) 48, 6 (4803))D. K. McKenzieGordon W. F. DrakeUniversity of WindsorFollow this and additional works at: http://scholar.uwindsor.ca/physicspubPart of the Physics CommonsThis Response or Comment is brought to you for free and open access by the Department of Physics at Scholarship at UWindsor. It has been acceptedfor inclusion in Physics Publications by an authorized administrator of Scholarship at UWindsor. For more information, please contactscholarship@uwindsor.ca.Recommended CitationMcKenzie, D. K. and Drake, Gordon W. F.. (1993). Erratum: Variational calculation for the ground state of lithium and QEDcorrections for Li-like ions (Physical Review A (1993) 48, 6 (4803)). Physical Review A, 48 (6), 4803.http://scholar.uwindsor.ca/physicspub/70PHYSICAL REVIEW A VOLUME 48, NUMBER 6ERRATADECEMBER 1993Erratum: Scattering of positrons by hydrogen in a modified Glauber method[Phys. Rev. A 16, 1736 (1977)]T. T. GienPACS number(s): 34.90.+q, 34.80.—i, 99.10.+gThe Born values of Table III were misprinted. They should be 11.27 (50 eV), 7.072 (100 eV), and 4.186 (200 eV).Erratum: Variational calculation for the ground state of lithiumand QED corrections for Li-like ions[Phys. Rev. A 44, R6973 (1991)]D. K. McKenzie and G. W. F. DrakePACS number(s): 31.20.Di, 31.30.Jv, 99.10.+gAn error was made in adding up the two-electron contributions to obtain the unnumbered equations for Q( ls 2s) andQ ( ls 2p) following Eq. (14). The correct equations are the following:Q(ls 2s)= —(5(r, 1 ))(lnZ+ —„ln3+ —,"ln2 —1)+0.01446Z +O(Z ),Q(ls 2p)= —(5(r; ))(1nZ++1n3+ 24'Iln2 —1)+0.01762Z +O(Z ) .The correction has a slight effect on the numerical results tabulated in Tables III and IV. In Table III, the entryKEL 2 bec—omes 0.00000012(10) a.u. , making the total nonrelativistic energy for the ground state of lithium—7.47806043(20) a.u. The corrected entries for Table IV are shown in full below. The differences in column four andthe comparison with experiment are not significantly affected. %'e are grateful to G. Feldman and T. Fulton for point-ing out this error.Also, there is a transcription error in Eq. (8). It should readrr= —(AiBo —A Bo)li(2B()) . (8)Z7891011131517202224262836Experiment0.14(1)0.22(130.36(2)0.52(1)0.76(2)1.42(2)2.52(6)3.89(6)7.06(4)9.83(4)13.4(1)18.0(1}23.4(4)56.8(4)The 2 Sl l'2 values for Z =4, 5, and 6 are 0.0070, 0.0226, and 0.0535 a.u. , respectively.Difference between the many-body perturbation-theory (MBPT) result [1], which includes finite-nuclear-size corrections, and themeasured transition frequency.TABLE IV. Calculated QED corrections (excluding finite-nuclear-size effects) for the ls 2s S, ~2 and ls 2p 2P, &2 states of Li-likeions (in 10 a.u.},relative to 1s 'S.2 S&l2 Difference0.106 0.1330.188 0.2280.307 0.3650.471 0.5500.688 0.7941.32 1.492.28 2.553.64 4.036.55 7.219.40 10.2312.9 13.917.2 18.522.4 24.054.8 57.9[1]W. R. Johnson, S. A. Blundell, and J. Sapirstein, Phys. Rev. A 37, 2764 (1988).1050-2947/93/48(6)/4803{13/$06. 00 4803 Oc 1993 The American Physical Society

Erratum: Variational calculation for the ground state of lithium and QED corrections for Li-like ions (Physical Review A (1993) 48, 6 (4803))

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Erratum: Variational calculation for the ground state of lithium and QED corrections for Li-like ions (Physical Review A (1993) 48, 6 (4803))

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