Many-Body Approach to Hyperfine Structure in the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi>P</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>2</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span> State of Lithium

J. D. Lyons; R. T. Pu; T. P. Das

doi:10.1103/PhysRev.178.103

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Many-Body Approach to Hyperfine Structure in the ${}^{2}P$ State of Lithium

J. D. Lyons

R. T. Pu and T. P. Das

IBM Research Laboratory, San Jose, California 95114

Department of Physics, University of California, Riverside, California 92502

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Phys. Rev. 178, 103 – Published 5 February, 1969Erratum Phys. Rev. 186, 266 (1969)

DOI: https://doi.org/10.1103/PhysRev.178.103

Abstract

The Brueckner-Goldstone (BG) many-body perturbation theory has been applied in a calculation of the hyperfine structure (hfs) of lithium in the excited $1 s^{2} 2 p ({}^{2}P)$ state. This is the first complete calculation of hfs by the BG theory in a nonspherical system. Our result for $a_{\frac{1}{2}}$ is 45.86 Mc/sec in excellent agreement with the experimental result of 46.17 ± 0.35 Mc/sec. In addition, we obtained the value $a_{\frac{3}{2}} = - 2.79$ Mc/sec for which no direct experimental result is currently available. The contributions from each of the magnetic hyperfine interactions and also the electric quadrupole moment interaction are presented. This approach also makes possible an analysis of the relative importance of various physical effects in each case.

Erratum

Many-Body Approach to Hyperfine Structure in the ${}^{2}P$ State of Lithium.

J. D. Lyons, R. T. Pu, and T. P. Das

Phys. Rev. 186, 266 (1969)

References (27)

J. Goldstone, Proc. Roy. Soc. (London), Ser. A 239, 267 (1957)
H. P. Kelly, Perturbation Theory and its Application in Quantum Mechanics, edited by C. H. Wilcox (John Wiley & Sons, Inc., New York, 1966), p. 215 Phys. Rev. 131, 684 (1963) ibid.136, B896 (1964) ibid.144, 39 (1966)
E. S. Chang, R. T. Pu, and T. P. Das, Phys. Rev. 174, 1 (1968) E. S. Chang, Ph. D. thesis, University of California, Riverside, 1967 (unpublished)
C. Matsubara, N. C. Dutta, R. T. Pu, and T. P. Das, Bull. Am. Phys. Soc. 13, 373 (1968)
N. C. Dutta, C. Matsubara, R. T. Pu, and T. P. Das, Phys. Rev. 177, 33 (1969)
N. C. Dutta, C. Matsubara, R. T. Pu, and T. P. Das, Phys. Rev. Letters 21, 1139 (1968)
the Pasadena meeting of the American Physical Society, December, 1967, Bull. Am. Phys. Soc. 12, 1116 (1967)
H. P. Kelly in a paper, Phys. Rev. 173, 142 (1968)
D. A. Goodings, Phys. Rev. 123, 1706 (1961)
G. D. Gaspari, Wei-Mei Shyu, and T. P. Das, Phys. Rev. 134, A852 (1964)
B. K. Rao, Dennis Ikenberry, S. D. Mahanti, and T. P. Das, to be published
R. M. Sternheimer, Phys. Rev. 164, 10 (1967)
R. W. B. Ardill and A. L. Stewart, Proc. Phys. Soc. (London) 92, 296 (1967)
G. J. Ritter, Can. J. Phys. 43, 770 (1965)
K. C. Brog, T. G. Eck, and H. Wieder, Phys. Rev. 153, 91 (1967)
[3] [3]
M. E. Rose, Relativistic Electron Theory (John Wiley & Sons, Inc., New York, 1961)
M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill Book Co., Inc., New York, 1964)
R. M. Sternheimer and H. M. Foley, Phys. Rev. 102, 731 (1956) T. P. Das and R. Bersohn, 102, 733 (1956) R. M. Sternheimer, 80, 102 (1950) ibid.84 244 (1951)
J. S. M. Harvey, Proc. Roy. Soc. (London), Ser. A 285, 581 (1965)
D. A. Goodings, Ph. D. thesis, Cambridge University, 1960 (unpublished)
F. Seitz, Phys. Rev. 47, 400 (1935) W. Kohn and N. Rostoker, 94, 1111 (1954)
V. Heine, Czech. J. Phys. 13, B619 (1963)
A. W. Weiss, Astrophys. J. 138, 1262 (1963)
Omitted endnote
S. L. Kahalas and R. K. Nesbet, J. Chem. Phys. 39, 529 (1963)
L. Wharton, L. P. Gold, and W. Klemperer, J. Chem. Phys. 37, 2149 (1962)

[c1] J. Goldstone, Proc. Roy. Soc. (London), Ser. A 239, 267 (1957)

[c2] H. P. Kelly, Perturbation Theory and its Application in Quantum Mechanics, edited by C. H. Wilcox (John Wiley & Sons, Inc., New York, 1966), p. 215 Phys. Rev. 131, 684 (1963) ibid.136, B896 (1964) ibid.144, 39 (1966)

[c3] E. S. Chang, R. T. Pu, and T. P. Das, Phys. Rev. 174, 1 (1968) E. S. Chang, Ph. D. thesis, University of California, Riverside, 1967 (unpublished)

[c4] C. Matsubara, N. C. Dutta, R. T. Pu, and T. P. Das, Bull. Am. Phys. Soc. 13, 373 (1968)

[c5] N. C. Dutta, C. Matsubara, R. T. Pu, and T. P. Das, Phys. Rev. 177, 33 (1969)

[c6] N. C. Dutta, C. Matsubara, R. T. Pu, and T. P. Das, Phys. Rev. Letters 21, 1139 (1968)

[c7] the Pasadena meeting of the American Physical Society, December, 1967, Bull. Am. Phys. Soc. 12, 1116 (1967)

[c8] H. P. Kelly in a paper, Phys. Rev. 173, 142 (1968)

[c9] D. A. Goodings, Phys. Rev. 123, 1706 (1961)

[c10] G. D. Gaspari, Wei-Mei Shyu, and T. P. Das, Phys. Rev. 134, A852 (1964)

[c11] B. K. Rao, Dennis Ikenberry, S. D. Mahanti, and T. P. Das, to be published

[c12] R. M. Sternheimer, Phys. Rev. 164, 10 (1967)

[c13] R. W. B. Ardill and A. L. Stewart, Proc. Phys. Soc. (London) 92, 296 (1967)

[c14] G. J. Ritter, Can. J. Phys. 43, 770 (1965)

[c15] K. C. Brog, T. G. Eck, and H. Wieder, Phys. Rev. 153, 91 (1967)

[c16] [3] [3]

[c17] M. E. Rose, Relativistic Electron Theory (John Wiley & Sons, Inc., New York, 1961)

[c18] M. Tinkham, Group Theory and Quantum Mechanics (McGraw-Hill Book Co., Inc., New York, 1964)

[c19] R. M. Sternheimer and H. M. Foley, Phys. Rev. 102, 731 (1956) T. P. Das and R. Bersohn, 102, 733 (1956) R. M. Sternheimer, 80, 102 (1950) ibid.84 244 (1951)

[c20] J. S. M. Harvey, Proc. Roy. Soc. (London), Ser. A 285, 581 (1965)

[c21] D. A. Goodings, Ph. D. thesis, Cambridge University, 1960 (unpublished)

[c22] F. Seitz, Phys. Rev. 47, 400 (1935) W. Kohn and N. Rostoker, 94, 1111 (1954)

[c23] V. Heine, Czech. J. Phys. 13, B619 (1963)

[c24] A. W. Weiss, Astrophys. J. 138, 1262 (1963)

[c25] Omitted endnote

[c26] S. L. Kahalas and R. K. Nesbet, J. Chem. Phys. 39, 529 (1963)

[c27] L. Wharton, L. P. Gold, and W. Klemperer, J. Chem. Phys. 37, 2149 (1962)

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Many-Body Approach to Hyperfine Structure in the ${}^{2}P$ State of Lithium

Abstract

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Many-Body Approach to Hyperfine Structure in the ${}^{2}P$ State of Lithium.

References (27)

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Many-Body Approach to Hyperfine Structure in the P2 State of Lithium

Abstract

Erratum

Many-Body Approach to Hyperfine Structure in the P2 State of Lithium.

References (27)

Many-Body Approach to Hyperfine Structure in the ${}^{2}P$ State of Lithium

Many-Body Approach to Hyperfine Structure in the ${}^{2}P$ State of Lithium.