Il Nuovo Cimento A (1965-1970)

, Volume 9, Issue 4, pp 369–432 | Cite as

Precise measurement of the anomalous magnetic moment of the muon

  • J. Bailey
  • W. Bartl
  • G. von Bochmann
  • R. C. A. Brown
  • F. J. M. Farley
  • M. Giesch
  • H. Jöstlein
  • S. van der Meer
  • E. Picasso
  • R. W. Williams
Article

Summary

The anomalous magnetic momenta≡1/2 (g−2) of the muon has been measured in the CERN muon storage ring. The result is (116 616±31)·10−8 compared with the theoretical value (116 588±2)·10−8 showing agreement to (240±270) parts per million. The lifetime of muons moving in a circular orbit with γ=12 was found to agree with the time dilation predicted by special relativity to within 1.1%. Details are given of the storage ring magnet, the instrumentation and the data analysis. The theoretical implications of the result are discussed.

Точное измерение аномального магнктного момента мюона

Riassunto

Si è misurato il momento magnetico anomaloa≡1/2 (g−2) del muone nell'anello di accumulazione di muoni del CERN. Il risultato è (116 616±31)·10−8 in confronto al valore teorico (116 588±2)·10−8 con un accordo di (240±270) parti per milione. Si è trovato che la vita media dei muoni che si muovono su un'orbita circolare con γ=12 concorda con la dilatazione del tempo predetta dalla relatività ristretta entro 1.1%. Si espongono i dettagli del magnete dell'anello di accumulazione, della strumentazione e dell'analisi dei dati. Si discutono le implicazioni teoriche dei risultati.

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References

  1. (1).
    G. Charpak, F. J. M. Farley, R. L. Garwin, T. Muller, J. C. Sens, V. L. Telegdi andA. Zichichi:Phys. Rev. Lett.,6, 128 (1961);G. Charpak, F. J. M. Farley, R. L. Garwin, T. Muller, J. C. Sens andA. Zichichi:Phys. Lett.,1, 16 (1962);Nuovo Cimento,37, 1241 (1961). See alsoG. R. Henry, G. Schrank andR. A. Swanson:Nuovo Cimento,63 A, 995 (1969).CrossRefADSGoogle Scholar
  2. (2).
    For recent reviews, seeF. J. M. Farley:Riv. Nuovo Cimento,1, 59 (1969);S. J. Brodsky:Proceedings of the International Symposium on Electron and Photon Interactions (Daresbury, 1969);S. J. Brodsky andS. D. Drell:Ann. Rev. Nucl. Sci. (in press);E. Picasso: inHigh-Energy Physics and Nuclear Structure, edited byS. Devons (New York, 1970), p. 615;R. Wilson:XV International Conference on High-Energy Physics (Kiev, 1970).Google Scholar
  3. (3).
    F. J. M. Farley, J. Bailey, R. C. A. Brown, M. Giesch, H. Jöstlein, S. van der Meer, E. Picasso andM. Tannenbaum:Nuovo Cimento,45 A, 281 (1966).CrossRefADSGoogle Scholar
  4. (4).
    F. J. M. Farley, J. Bailey, R. C. A. Brown, M. Giesch, H. Jöstlein, S. van der Meer andE. Picasso:The CERN Muon Storage Ring, Electron-Positron Colliding Beam Symposium, Chap. VIII (Orsay-Saclay, 1966), p. 1;J. Bailey, W. Bartl, R. C. A. Brown, F. J. M. Farley, H. Jöstlein, S. van der Meer andE. Picasso:The anomalous magnetic moment of the μ, inProceedings of the International Symposium on Electron and Photon Interactions at High Energy (Stanford, Cal., 1967), p. 48;J. Bailey, W. Bartl, G. von Bochmann, R. C. A. Brown, F. J. M. Farley, H. Jöstlein, E. Picasso andR. W. Williams:Precision measurement of the anomalous magnetic moment of the muon, paper No. 405 submitted to theXV International Conference on High-Energy Physics, Vienna, 1968 (Geneva, 1968).Google Scholar
  5. (5).
    J. Bailey, W. Bartl, G. von Bochmann, R. C. A. Brown, F. J. M. Farley, H. Jöstlein, E. Picasso andR. W. Williams:Phys. Lett.,28 B, 287 (1968).CrossRefADSGoogle Scholar
  6. (6).
    C. Bouchiat andL. Michel:Phys. Rev.,106, 170 (1957).CrossRefADSGoogle Scholar
  7. (7).
    J. F. Hague, J. E. Rothberg, A. Schenck, D. L. Williams, R. W. Williams, K. K. Young andK. M. Crowe:Phys. Rev. Lett.,25, 628 (1970);D. P. Hutchinson, F. L. Larsen, N. C. Schoen, D. I. Sober andA. S. Kanofsky:Phys. Rev. Lett.,24, 1254 (1970).CrossRefADSGoogle Scholar
  8. (8).
    M. A. Ruderman:Phys. Rev. Lett.,17, 794 (1968).CrossRefADSGoogle Scholar
  9. (9).
    R. Armstrong-Brown:Nucl. Instr. Meth.,60, 265 (1968).CrossRefGoogle Scholar
  10. (10).
    R. Armstrong-Brown:Proton Resonance Calibration and Field Studies of the CERN Muon Storage Ring (Geneva, 1969), CERN 69-8.Google Scholar
  11. (11).
    F. J. M. Farley andB. S. Carter:Nucl. Instr. Meth.,28, 279 (1964).CrossRefGoogle Scholar
  12. (12).
    W. Bartl:Gating of Photomultipliers (Geneva, 1968), CERN 68-41.Google Scholar
  13. (13).
    Digitrons have been described byR. A. Swanson:Rev. Sci. Instr.,31, 149 (1960);R. A. Lundy:Rev. Sci. Instr.,34, 146 (1963); see also ref. (1).CrossRefADSGoogle Scholar
  14. (14).
    G. R. Henry andJ. E. Silver:Phys. Rev.,180, 1262 (1969).CrossRefADSGoogle Scholar
  15. (15).
    J. Bailey andE. Picasso:Progr. Nucl. Phys.,12, 43 (1970);S. J. Brodsky andS. D. Drell:Ann. Rev. Nucl. Sci.,20, 147 (1970);B. Lautrup:Phys. Lett.,32 B, 627 (1970).Google Scholar
  16. (16).
    B. N. Taylor, W. H. Parker andD. N. Langenberg:Rev. Mod. Phys.,41, 375 (1969).CrossRefADSGoogle Scholar
  17. (17).
    A. Peterman:Helv. Phys. Acta,30, 407 (1957);Fortschr. Phys.,6, 505 (1958);H. Suura andK. Wichmann:Phys. Rev.,105, 1930 (1957);C. M. Sommerfield:Phys. Rev.,105, 1931 (1957).Google Scholar
  18. (18).
    J. A. Mignaco andE. Remiddi:Nuovo Cimento,60 A, 519 (1969).CrossRefADSMATHGoogle Scholar
  19. (19).
    J. Aldins, T. Kinoshita, S. J. Brodsky andA. Dufner:Phys. Rev. Lett.,23, 441 (1969);Phys. Rev. D,1, 2378 (1970).CrossRefADSGoogle Scholar
  20. (20).
    S. D. Drell andH. R. Pagels:Phys. Rev.,140 B, 397 (1965);R. G. Parsons:Phys. Rev.,168, 1562 (1968).MathSciNetCrossRefADSGoogle Scholar
  21. (21).
    T. Kinoshita:Nuovo Cimento,51 B, 140 (1967);B. E. Lautrup andE. de Rafael:Phys. Rev.,174, 1835 (1968);Nuovo Cimento,64 A, 322 (1969);B. E. Lautrup, A. Peterman andE. de Rafael:Nuovo Cimento,1 A, 238 (1971);B. E. Lautrup:Phys. Lett.,32 B, 627 (1970).CrossRefADSGoogle Scholar
  22. (22).
    C. Bouchiat andL. Michel:Journ. Phys. Radium,22, 121 (1961);L. Durand III:Phys. Rev.,128, 441 (1962).CrossRefGoogle Scholar
  23. (23).
    J. E. Augustin, J. C. Bizot, J. Buon, J. Haissinski, D. Lalanne, P. Marin, H. Nguyen Ngoe, J. Perez-y-Jorba, F. Rumpf, E. Silva andS. Tavernier:Phys. Lett.,28 B, 503, 508, 513, 517 (1969).CrossRefADSGoogle Scholar
  24. (24).
    M. Gourdin andE. de Rafael:Nucl. Phys.,10 B, 667 (1969).CrossRefADSGoogle Scholar
  25. (25).
    H. Terazawa:Phys. Rev.,177, 2159 (1969);Progr. Theor. Phys.,39, 1326 (1968).CrossRefADSGoogle Scholar
  26. (26).
    J. Bell andE. de Rafael:Nucl. Phys.,11 B, 611 (1969).CrossRefADSMATHGoogle Scholar
  27. (27).
    S. J. Brodsky andJ. D. Sullivan:Phys. Rev.,156, 1644 (1967);T. Burnett andM. J. Levine:Phys. Lett.,24 B, 467 (1967).CrossRefADSGoogle Scholar
  28. (28).
    V. B. Berestetsky, O. N. Krokhin andA. K. Khlebnikov:Žurn. Ėksp. Teor. Phys.,30, 788 (1956) (English translation inSov. Phys. JETP,12, 993 (1961)).Google Scholar
  29. (29).
    T. D. Lee andG. C. Wick:Nucl. Phys.,9 B, 209 (1969);10 B, 1 (1969).MathSciNetCrossRefADSGoogle Scholar
  30. (30).
    B. de Tollis:Nuovo Cimento,16, 203 (1960).CrossRefGoogle Scholar
  31. (31).
    J. Schwinger:Ann. of Phys.,2, 407 (1957);I. Yu. Kobzarev andL. B. Okun':Žurn. Ėksp. Teor. Fiz.,41, 1205 (1961) (English translation:Sov. Phys. JETP,14, 859 (1962));S. Nakamura, H. Matsumoto, N. Nakazawa andU. Ugai:Suppl. Progr. Theor. Phys., extra number, 422 (1968);S. J. Brodsky andE. de Rafael:Phys. Rev.,168, 1620 (1968);R. Sugano:Progr. Theor. Phys.,28, 508 (1962);K. M. Case:Phys. Rev.,76, 1 (1949).MathSciNetCrossRefADSMATHGoogle Scholar
  32. (32).
    This remark was made byJ. S. Bell: private communication. We are grateful toP. Goddard andL. M. Lederman, and independently toP. K. Kabir, for evaluations of the integral (ref. (17)) giving the vacuum polarization as a function of the ratio (m λ/m μ).Google Scholar
  33. (33).
    See, for example,G. Feinberg andL. M. Lederman:Ann. Rev. Nucl. Sci.,13, 466 (1963).CrossRefGoogle Scholar
  34. (34).
    A. Schoch:The Theory of Linear and Nonlinear Perturbations of Betatron Oscillations in Alternating Gradient Synchrotrons (Geneva, 1957), CERN 57-21.Google Scholar
  35. (35).
    A. Einstein:Ann. der Phys.,17, 89 (1905);H. Bondi:Discovery,18, 505 (1957);R. P. Feynman, R. B. Leighton andM. Sands:The Feynman Lectures on Physics, Vol.1, Sect.16.2 (London, 1964).Google Scholar
  36. (36).
    R. V. Pound andG. A. Rebka jr.:Phys. Rev. Lett.,4, 274 (1960);C. W. Sherwin:Phys. Rev.,120, 17 (1960).CrossRefADSGoogle Scholar
  37. (37).
    G. von Bochmann: Diplom-Thesis at Lehrstuhl, Prof.Meyer-Berkhout, University of Munich (1968).Google Scholar

Copyright information

© Società Italiana di Fisica 1972

Authors and Affiliations

  • J. Bailey
    • 1
  • W. Bartl
    • 1
  • G. von Bochmann
    • 1
  • R. C. A. Brown
    • 1
  • F. J. M. Farley
    • 1
  • M. Giesch
    • 1
  • H. Jöstlein
    • 1
  • S. van der Meer
    • 1
  • E. Picasso
    • 1
  • R. W. Williams
    • 1
  1. 1.CERNGeneva
  2. 2.Institute for High-Energy Physics of the Austrian Academy of SciencesVienna
  3. 3.Department of PhysicsMcGill UniversityMontreal
  4. 4.Royal Military College of ScienceShrivenham
  5. 5.Department of PhysicsUniversity of RochesterRochester
  6. 6.Department of PhysicsUniversity of WashingtonSeattle

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