Hyperfine Structure of the Ground State of <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">He</mi></mrow><mrow></mrow><mrow><mo>+</mo></mrow><mrow></mrow><mrow></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>3</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span> by the Ion-Storage Exchange-Collision Technique

H. A. Schuessler; E. N. Fortson; H. G. Dehmelt

doi:10.1103/PhysRev.187.5

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Hyperfine Structure of the Ground State of ${}^{3}{He}^{+}$ by the Ion-Storage Exchange-Collision Technique

H. A. Schuessler^*, E. N. Fortson, and H. G. Dehmelt

Department of Physics, University of Washington, Seattle, Washington 98105

^*Present address: Department of Physics, Texas A&M University, College Station, Tex. 77843.

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Phys. Rev. 187, 5 – Published 5 November, 1969Erratum Phys. Rev. A 2, 1612 (1970)

DOI: https://doi.org/10.1103/PhysRev.187.5

Abstract

The hfs of the ground state of ${}^{3}{He}^{+}$ has been studied using the spin-dependent collision processes between stored ${}^{3}{He}^{+}$ ions and a polarized beam of Cs atoms. All possible hfs transitions have been measured in a magnetic field of about 7.13 G. A consecutive-pulse multiple-resonance scheme was developed to detect the only weakly field-dependent transition $(F = 0, m_{F} = 0) \leftrightarrow (F = 1, m_{F} = 0)$ in an almost ideally isolated and pure atomic system. Magnetic-resonance disorientation is observed as a change in the number of ions remaining in the rf quadrupole ion trap after a fixed interaction time with both the resonant rf fields and the polarized atomic beam. For the detection of an ion-number signal, the ion macromotion at ${\bar{ω}}_{z}$ was coherently excited by a homogeneous electric field at ${\bar{ω}}_{z} + Ω$ , where $Ω$ is the frequency of the inhomogeneous rf field used for trapping. Linewidths of 10 Hz have been measured for the (0, 0) ↔ (1, 0) hfs transition, when the transition was induced during a time of the order of half the electron-spin orientation time in a weak atomic beam. The value for the zero-magnetic-field hfs splitting is $Δ ν = (8 665 649 867 \pm 10)$ Hz. Rate equations for the populations of the hfs Zeeman levels in the presence of the polarized atomic beam and transitions caused by various rf fields are given. Features of the line shape caused by the consecutive-pulse multiple-resonance scheme are also considered. Several mechanisms which may ultimately limit the precision are discussed. A comparison of the experimental result with current theories of the hfs of hydrogenic systems is presented.

Erratum

Hyperfine Structure of the Ground State of ${}^{3}{He}^{+}$ by the Ioń-Storage Exchange-Collision Technique

H. A. Schuessler, E. N. Fortson, and H. G. Dehmelt

Phys. Rev. A 2, 1612 (1970)

References (26)

R. Novick and E. D. Commins, Phys. Rev. 111, 822 (1958)
H. G. Dehmelt, Phys. Rev. 109, 381 (1959)
H. G. Dehmelt and F. G. Major, Phys. Rev. Letters 8, 213 (1962)
F. G. Major and H. G. Dehmelt, Phys. Rev. 170, 91 (1968)
H. G. Dehmelt, Advan. At. Mol. Phys. 3, 53 (1967) ibid.5, 109 (1969)
E. N. Fortson, F. G. Major, and H. G. Dehmelt, Phys. Rev. Letters 16, 221 (1966) H. G. Dehmelt, Proceedings of the International Symposium of the Physics of One-and Two-Electron Atoms, Munich, 1968 (North-Holland Publishing Co. Inc., Amsterdam, 1969)
D. Rapp and W. E. Francis, J. Chem. Phys. 37, 2631 (1962) J. R. Peterson and D. C. Lorents, Phys. Rev. 182, 152 (1969)
R. P. Feynman, F. L. Vernon, and R. W. Hellwarth, J. Appl. Phys. 28, 49 (1957) N. F. Ramsey, Molecular Beams (Oxford at Clarendon Press, Oxford, England, 1956), p. 118
E. Fischer, Z. Physik 156, 1 (1959) W. Paul, O. Osberghaus, and E. Fischer, Forschungsber. Wirtsch. Verkehrsministeriums Nord-Rhein-Westfalen No. 415, 1958 (unpublished)
L. D. Landau and E. M. Lifschitz, Mechanics (Pergamon Press, Inc., Oxford, 1960)
C. Schwartz, Ann. Phys. (N. Y.) 2, 156 (1959)
E. N. Fortson, D. Kleppner, and N. F. Ramsey, Phys. Rev. Letters 13, 23 (1964)
D. Kleppner et al., Phys. Rev. 138, A972 (1965)
R. H. Dicke, Phys. Rev. 89, 472 (1953)
H. G. Dehmelt and F. L. Walls, Phys. Rev. Letters 21, 127 (1968) D. A. Church and H. G. Dehmelt, J. Appl. Phys. 40, 3421 (1969)
H. A. Schuessler (unpublished)
D. Greenberg and H. M. Foley, Phys. Rev. 120, 1684 (1960)
E. R. Cohen et al., Rev. Mod. Phys. 27, 363 (1955) S. L. Kaufman et al., Phys. Rev. Letters 22, 507 (1969)
H. L. Anderson, Phys. Rev. 76, 1460 (1949)
C. D. Iddings and P. M. Platzman, Phys. Rev. 113, 192 (1959)
D. E. Zwanziger, Phys. Rev. 121, 1128 (1961)
M. M. Sternheim, Phys. Rev. 130, 211 (1963) H. C. Goldwire, Phys. Rev. Letters 18, 433 (1967)
H. C. GoldwireAtomic Energy Levels, Natl. Bur. Std. (U. S.) Circ. No. 467 (Government Printing Office, Washington, D. C., 1962)
S. J. Brodsky and R. G. Parsons, Phys. Rev. 163, 134 (1967)
H. A. Schuessler, Bull. Am. Phys. Soc. 13, 1674 (1968) H. A. Schuessler and H. G. Dehmelt, Report of the First International Conference on AtomicPhysics, New York, 1968 (Plenum Press, Inc., New York, 1968)
[6]

[c1] R. Novick and E. D. Commins, Phys. Rev. 111, 822 (1958)

[c2] H. G. Dehmelt, Phys. Rev. 109, 381 (1959)

[c3] H. G. Dehmelt and F. G. Major, Phys. Rev. Letters 8, 213 (1962)

[c4] F. G. Major and H. G. Dehmelt, Phys. Rev. 170, 91 (1968)

[c5] H. G. Dehmelt, Advan. At. Mol. Phys. 3, 53 (1967) ibid.5, 109 (1969)

[c6] E. N. Fortson, F. G. Major, and H. G. Dehmelt, Phys. Rev. Letters 16, 221 (1966) H. G. Dehmelt, Proceedings of the International Symposium of the Physics of One-and Two-Electron Atoms, Munich, 1968 (North-Holland Publishing Co. Inc., Amsterdam, 1969)

[c7] D. Rapp and W. E. Francis, J. Chem. Phys. 37, 2631 (1962) J. R. Peterson and D. C. Lorents, Phys. Rev. 182, 152 (1969)

[c8] R. P. Feynman, F. L. Vernon, and R. W. Hellwarth, J. Appl. Phys. 28, 49 (1957) N. F. Ramsey, Molecular Beams (Oxford at Clarendon Press, Oxford, England, 1956), p. 118

[c9] E. Fischer, Z. Physik 156, 1 (1959) W. Paul, O. Osberghaus, and E. Fischer, Forschungsber. Wirtsch. Verkehrsministeriums Nord-Rhein-Westfalen No. 415, 1958 (unpublished)

[c10] L. D. Landau and E. M. Lifschitz, Mechanics (Pergamon Press, Inc., Oxford, 1960)

[c11] C. Schwartz, Ann. Phys. (N. Y.) 2, 156 (1959)

[c12] E. N. Fortson, D. Kleppner, and N. F. Ramsey, Phys. Rev. Letters 13, 23 (1964)

[c13] D. Kleppner et al., Phys. Rev. 138, A972 (1965)

[c14] R. H. Dicke, Phys. Rev. 89, 472 (1953)

[c15] H. G. Dehmelt and F. L. Walls, Phys. Rev. Letters 21, 127 (1968) D. A. Church and H. G. Dehmelt, J. Appl. Phys. 40, 3421 (1969)

[c16] H. A. Schuessler (unpublished)

[c17] D. Greenberg and H. M. Foley, Phys. Rev. 120, 1684 (1960)

[c18] E. R. Cohen et al., Rev. Mod. Phys. 27, 363 (1955) S. L. Kaufman et al., Phys. Rev. Letters 22, 507 (1969)

[c19] H. L. Anderson, Phys. Rev. 76, 1460 (1949)

[c20] C. D. Iddings and P. M. Platzman, Phys. Rev. 113, 192 (1959)

[c21] D. E. Zwanziger, Phys. Rev. 121, 1128 (1961)

[c22] M. M. Sternheim, Phys. Rev. 130, 211 (1963) H. C. Goldwire, Phys. Rev. Letters 18, 433 (1967)

[c23] H. C. GoldwireAtomic Energy Levels, Natl. Bur. Std. (U. S.) Circ. No. 467 (Government Printing Office, Washington, D. C., 1962)

[c24] S. J. Brodsky and R. G. Parsons, Phys. Rev. 163, 134 (1967)

[c25] H. A. Schuessler, Bull. Am. Phys. Soc. 13, 1674 (1968) H. A. Schuessler and H. G. Dehmelt, Report of the First International Conference on AtomicPhysics, New York, 1968 (Plenum Press, Inc., New York, 1968)

[c26] [6]

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Hyperfine Structure of the Ground State of ${}^{3}{He}^{+}$ by the Ion-Storage Exchange-Collision Technique

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Erratum

Hyperfine Structure of the Ground State of ${}^{3}{He}^{+}$ by the Ioń-Storage Exchange-Collision Technique

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Hyperfine Structure of the Ground State of He+3 by the Ion-Storage Exchange-Collision Technique

Abstract

Erratum

Hyperfine Structure of the Ground State of He+3 by the Ioń-Storage Exchange-Collision Technique

References (26)

Hyperfine Structure of the Ground State of ${}^{3}{He}^{+}$ by the Ion-Storage Exchange-Collision Technique

Hyperfine Structure of the Ground State of ${}^{3}{He}^{+}$ by the Ioń-Storage Exchange-Collision Technique