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Precise measurement of the anomalous magnetic moment of the muon

Точное измерение аномального магнктного момента мюона

  • Published:
Il Nuovo Cimento A (1965-1970)

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.

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. 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).

    Article  ADS  Google Scholar 

  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. 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).

    Article  ADS  Google Scholar 

  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).

  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).

    Article  ADS  Google Scholar 

  6. C. Bouchiat andL. Michel:Phys. Rev.,106, 170 (1957).

    Article  ADS  Google Scholar 

  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).

    Article  ADS  Google Scholar 

  8. M. A. Ruderman:Phys. Rev. Lett.,17, 794 (1968).

    Article  ADS  Google Scholar 

  9. R. Armstrong-Brown:Nucl. Instr. Meth.,60, 265 (1968).

    Article  Google Scholar 

  10. R. Armstrong-Brown:Proton Resonance Calibration and Field Studies of the CERN Muon Storage Ring (Geneva, 1969), CERN 69-8.

  11. F. J. M. Farley andB. S. Carter:Nucl. Instr. Meth.,28, 279 (1964).

    Article  Google Scholar 

  12. W. Bartl:Gating of Photomultipliers (Geneva, 1968), CERN 68-41.

  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).

    Article  ADS  Google Scholar 

  14. G. R. Henry andJ. E. Silver:Phys. Rev.,180, 1262 (1969).

    Article  ADS  Google Scholar 

  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. B. N. Taylor, W. H. Parker andD. N. Langenberg:Rev. Mod. Phys.,41, 375 (1969).

    Article  ADS  Google Scholar 

  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. J. A. Mignaco andE. Remiddi:Nuovo Cimento,60 A, 519 (1969).

    Article  ADS  MATH  Google Scholar 

  19. J. Aldins, T. Kinoshita, S. J. Brodsky andA. Dufner:Phys. Rev. Lett.,23, 441 (1969);Phys. Rev. D,1, 2378 (1970).

    Article  ADS  Google Scholar 

  20. S. D. Drell andH. R. Pagels:Phys. Rev.,140 B, 397 (1965);R. G. Parsons:Phys. Rev.,168, 1562 (1968).

    Article  MathSciNet  ADS  Google Scholar 

  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).

    Article  ADS  Google Scholar 

  22. C. Bouchiat andL. Michel:Journ. Phys. Radium,22, 121 (1961);L. Durand III:Phys. Rev.,128, 441 (1962).

    Article  Google Scholar 

  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).

    Article  ADS  Google Scholar 

  24. M. Gourdin andE. de Rafael:Nucl. Phys.,10 B, 667 (1969).

    Article  ADS  Google Scholar 

  25. H. Terazawa:Phys. Rev.,177, 2159 (1969);Progr. Theor. Phys.,39, 1326 (1968).

    Article  ADS  Google Scholar 

  26. J. Bell andE. de Rafael:Nucl. Phys.,11 B, 611 (1969).

    Article  ADS  MATH  Google Scholar 

  27. S. J. Brodsky andJ. D. Sullivan:Phys. Rev.,156, 1644 (1967);T. Burnett andM. J. Levine:Phys. Lett.,24 B, 467 (1967).

    Article  ADS  Google Scholar 

  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. T. D. Lee andG. C. Wick:Nucl. Phys.,9 B, 209 (1969);10 B, 1 (1969).

    Article  MathSciNet  ADS  Google Scholar 

  30. B. de Tollis:Nuovo Cimento,16, 203 (1960).

    Article  Google Scholar 

  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).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  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).

  33. See, for example,G. Feinberg andL. M. Lederman:Ann. Rev. Nucl. Sci.,13, 466 (1963).

    Article  Google Scholar 

  34. A. Schoch:The Theory of Linear and Nonlinear Perturbations of Betatron Oscillations in Alternating Gradient Synchrotrons (Geneva, 1957), CERN 57-21.

  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. R. V. Pound andG. A. Rebka jr.:Phys. Rev. Lett.,4, 274 (1960);C. W. Sherwin:Phys. Rev.,120, 17 (1960).

    Article  ADS  Google Scholar 

  37. G. von Bochmann: Diplom-Thesis at Lehrstuhl, Prof.Meyer-Berkhout, University of Munich (1968).

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Author notes

  1. W. Bartl

    Present address: Institute for High-Energy Physics of the Austrian Academy of Sciences, Vienna

  2. G. von Bochmann

    Present address: Department of Physics, McGill University, Montreal, Quebec

  3. F. J. M. Farley

    Present address: Royal Military College of Science, Shrivenham, Wiltshire

  4. H. Jöstlein

    Present address: Department of Physics, University of Rochester, Rochester, N.Y.

  5. R. W. Williams

    Present address: Department of Physics, University of Washington, Seattle, Wash.

Authors and Affiliations

  1. CERN, Geneva

    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

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  1. J. Bailey
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  2. W. Bartl
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  3. G. von Bochmann
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  4. R. C. A. Brown
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  5. F. J. M. Farley
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  8. S. van der Meer
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Traduzione a cura della Redazione.

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Bailey, J., Bartl, W., von Bochmann, G. et al. Precise measurement of the anomalous magnetic moment of the muon. Nuov Cim A 9, 369–432 (1972). https://doi.org/10.1007/BF02785248

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