Reconciliation of Experimental Lamb Shifts

R. T. Robiscoe

doi:10.1103/PhysRev.168.4

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Reconciliation of Experimental Lamb Shifts

R. T. Robiscoe^*

Harrison M. Randall Laboratory, The University of Michigan, Ann Arbor, Michigan

^*Alfred P. Sloan Foundation Fellow.

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Phys. Rev. 168, 4 – Published 5 April, 1968

DOI: https://doi.org/10.1103/PhysRev.168.4

Abstract

We develop a detailed analysis of the metastable quenching problem encountered in our recent level-crossing measurements in the $n = 2$ state of atomic hydrogen. The analysis allows calculation of a previously unaccounted systematic correction to the value of the Lamb shift $S$ derived from these measurements. This correction, together with refinements in the calculation of $S$ from a measured crossing, decreases our value to $S = 1057.86 \pm 0.10$ MHz. Within experimental error, this value agrees with the original result as measured by Lamb and collaborators. In addition, the analysis allows the calculation of a new upper limit to the parity impurity amplitude in the $2 S$ state of atomic hydrogen, namely ${| a_{0} |}^{2} \leq 8 \times 10^{- 9}$ , at zero magnetic field.

References (27)

R. T. Robiscoe and B. L. Cosens, Phys. Rev. Letters 17, 69 (1966)
M. F. Soto, Jr., Phys. Rev. Letters 17, 1153 (1966)
HI, W. E. Lamb, Jr., and R. C. Retherford, Phys. Rev. 79, 549 (1950) HII, R. C. Retherford, and W. E. Lamb, Jr., ibid. 81, 222 (1951) HIII, W. E. Lamb, Jr., ibid. 85, 259 (1952) HIV, W. E. Lamb, Jr., and R. C. Retherford, ibid. 86, 1014 (1952) HV, S. Triebwasser, E. S. Dayhoff, and W. E. Lamb, Jr., ibid. 89, 98 (1953) HVI, E. S. Dayhoff, S. Triebwasser, and W. E. Lamb, Jr., ibid. 89, 106 (1953)
S. D. Drell, in Proceedings of the Thirteenth Annual International Conference on High-Energy Physics, Berkeley, California, 1966 (University of California Press, Berkeley, Calif., 1967). [as Stanford Linear Accelerator Center Report No. SLAC-PUB-225, Stanford, California (unpublished).]
E. R. Cohen, Nuovo Cimento Suppl. IV, 839 (1966)
Appendix II of HI, and HIII, [3]
R. T. Robiscoe, Phys. Rev. 138, A22 (1965)
S. J. Brodsky and R. G. Parsons, Phys. Rev. 163, 134 (1967)
[7]
Omitted endnote
Appendix I of [7]
Omitted endnote
([7])
Omitted endnote
Sec. 64 of HIII and Sec. 93 of HV, [3]
Omitted endnote
Omitted endnote
Omitted endnote
E. E. Salpeter, Phys. Rev. 112, 1642 (1958) R. A. Carhart, ibid. 132, 2337 (1963) F. C. Michel, ibid. 138, B408 (1965) P. G. H. Sandars, Phys. Letters 14, 194 (1965)
W. L. Fite et al., Phys. Rev. 116, 363 (1959)
P. G. H. Sandars and E. Lipworth, Phys. Rev. Letters 13, 718 (1964) J. P. Carrico, E. Lipworth, and P. G. H. Sandars in Proceedings of the Berkeley Conference on the Physics of Free Atoms, Berkeley, California, 1966 (unpublished) C. O. Thornberg and J. G. King, Proceedings of the Berkeley Conference on the Physics of Free Atoms, Berkeley, California, 1966 (unpublished)
Omitted endnote
[7] [13]
Sec. IV of [7] Ref. 55
T. Rebane (private communication)
HV, [3]
W. H. Parker, B. N. Taylor, and D. N. Langenberg, Phys. Rev. Letters 18, 287 (1967)

[c1] R. T. Robiscoe and B. L. Cosens, Phys. Rev. Letters 17, 69 (1966)

[c2] M. F. Soto, Jr., Phys. Rev. Letters 17, 1153 (1966)

[c3] HI, W. E. Lamb, Jr., and R. C. Retherford, Phys. Rev. 79, 549 (1950) HII, R. C. Retherford, and W. E. Lamb, Jr., ibid. 81, 222 (1951) HIII, W. E. Lamb, Jr., ibid. 85, 259 (1952) HIV, W. E. Lamb, Jr., and R. C. Retherford, ibid. 86, 1014 (1952) HV, S. Triebwasser, E. S. Dayhoff, and W. E. Lamb, Jr., ibid. 89, 98 (1953) HVI, E. S. Dayhoff, S. Triebwasser, and W. E. Lamb, Jr., ibid. 89, 106 (1953)

[c4] S. D. Drell, in Proceedings of the Thirteenth Annual International Conference on High-Energy Physics, Berkeley, California, 1966 (University of California Press, Berkeley, Calif., 1967). [as Stanford Linear Accelerator Center Report No. SLAC-PUB-225, Stanford, California (unpublished).]

[c5] E. R. Cohen, Nuovo Cimento Suppl. IV, 839 (1966)

[c6] Appendix II of HI, and HIII, [3]

[c7] R. T. Robiscoe, Phys. Rev. 138, A22 (1965)

[c8] S. J. Brodsky and R. G. Parsons, Phys. Rev. 163, 134 (1967)

[c9] [7]

[c10] Omitted endnote

[c11] Appendix I of [7]

[c12] Omitted endnote

[c13] ([7])

[c14] Omitted endnote

[c15] Sec. 64 of HIII and Sec. 93 of HV, [3]

[c16] Omitted endnote

[c17] Omitted endnote

[c18] Omitted endnote

[c19] E. E. Salpeter, Phys. Rev. 112, 1642 (1958) R. A. Carhart, ibid. 132, 2337 (1963) F. C. Michel, ibid. 138, B408 (1965) P. G. H. Sandars, Phys. Letters 14, 194 (1965)

[c20] W. L. Fite et al., Phys. Rev. 116, 363 (1959)

[c21] P. G. H. Sandars and E. Lipworth, Phys. Rev. Letters 13, 718 (1964) J. P. Carrico, E. Lipworth, and P. G. H. Sandars in Proceedings of the Berkeley Conference on the Physics of Free Atoms, Berkeley, California, 1966 (unpublished) C. O. Thornberg and J. G. King, Proceedings of the Berkeley Conference on the Physics of Free Atoms, Berkeley, California, 1966 (unpublished)

[c22] Omitted endnote

[c23] [7] [13]

[c24] Sec. IV of [7] Ref. 55

[c25] T. Rebane (private communication)

[c26] HV, [3]

[c27] W. H. Parker, B. N. Taylor, and D. N. Langenberg, Phys. Rev. Letters 18, 287 (1967)

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Reconciliation of Experimental Lamb Shifts

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