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The anomalous magnetic moment of the muon and related topics

Il momenta magnetico anomalo del muone e argomenti attinenti

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Abstract

The anomalous magnetic moment of the muon has been measured in three CERN experiments with increasing precisions, from 1959 to 1977. In this article the theoretical and experimental results are reviewed. A brief presentation of a new experiment in preparation at the Brookhaven National Laboratory (U.S.) is given. A review of high precision tests of Quantum Electrodynamics is briefly presented.

Riassunto

Il momento magnetico anomalo del muone e stato misurato con crescente precisione ai CERN dal 1959 al 1977. In questo articolo si riassumono le previsioni teoriche e i risultati sperimentali. Un nuovo esperimento è in preparazione negli Stati Uniti nel Laboratorio Nazionale di Brookhaven (Long Island). Si esaminano alcuni espenmenti di grande precisione che verificano la teoria dell’elettrodinamica quantistica.

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References

  1. R. Van Dyck Jr.,Anomalous magnetic moment of single electrons and positrons; experiment. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 322–387.

    Google Scholar 

  2. T. Kinoshita,Theory of the anomalous magnetic moment of the electron-numerical approach. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 218–321.

    Google Scholar 

  3. M. E. Cage -R. F. Dziuba -R. E. Elmquist -B. F. Field -G. R. Jones Jr. -P. T. Olsen -W. D. Phillips -J. Q. Shield -R. L, Steiner -B. N. Taylor -E. R. Williams,NBS Determination of the Fine Structure Constant, and of the Quantized Hall Resistance and Josephson Frequenry-to-Voltage Quotient in SI Units. IEEE Transactions on Instrument and Measurement, vol. 34, n. 2, 1989, 284–289.

    Article  Google Scholar 

  4. T. Kinoshita -G.P. Le Page,Quantum electrodynamics, for nonrelativistic systems and high precision determination of a. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 81–91.

    Google Scholar 

  5. F. J. M. Farley -E. Picasso,The muon (g - 2) experiments. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 479–559.

    Google Scholar 

  6. T. Kinoshita -W. J. Marciano,Theory of the muon anomalous magnetic moment. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 419–478.

    Google Scholar 

  7. J. Bailey -K. Borer -F. Combley -H. Drumm -C. Eck -F. J. M. Farley -J. H. Field -W. Flegel -P. M. Hattersley -F. Krienen -F. Lange -G. Lebée -E. Mc Millan -G. Petrucci -E. Picasso -O. Rúnolfsson -W. von Rüden -R. W. Williams -S. Wojcicki,Final report on the CERN muon storage ring including the anomalous magnetic moment and the electric dipole moment of the muon, and a direct test of relativistic time dilation. Nucl. Phys., B150, 1979, 1–75.

    Article  CAS  Google Scholar 

  8. J. Calmet -S. Narrison -M. Perrotet -E. de Rafael,The anomalous magnetic moment of the muon: a review of the theoretical contributions. Rev. Mod. Phys., 49, 1977, 21–29.

    Article  CAS  Google Scholar 

  9. W. A. Bardeen -R. Gastmans -B. Lautrup,Static quantities in Weinbergs model of weak and electromagnetic interactions. Nucl. Phys., B46, 1972, 319–331.

    Article  Google Scholar 

  10. R. Jackiw -S. Weinberg,Weak-interaction corrections to the muon magnetic moment and to muonic-atom energy levels. Phys. Rev., D5, 1972, 2396–2398.

    Google Scholar 

  11. I. Bars -M. Yoshimura,Muon magnetic moment in a finit theory of weak and electromagnetic interactions. Phys. Rev., D6, 1972, 374–376.

    Google Scholar 

  12. T. V. Kukhto -E. A. Kuraev -A. Schiller -Z. K. Silagadze,The dominant two-loop electroweak contributions to the anomalous magnetic moment of the muon. Nucl. Phys., B371, 1992, 567–596.

    Article  CAS  Google Scholar 

  13. S. Peris - M. Perroitet - E. de Rafael, Two-Loop Electroweak Corrections to the Muon (g - 2): a New Class of Hadronic Contributions. CERN-TH/95-141, 1995, 1-11.

  14. Design Report - BNL AGS E82L A Sew Precision Measurement of the Muon (g - 2) Value at the Level of 0.35 ppm. 1995, 1-466.

  15. V. Bargmann -L. Michel -V. L. Telegdi,Precession of the polarization of particle moving in a homogeneous electromagnetic field. Phys. Rev. Lett., 2, 1959, 435–437.

    Article  Google Scholar 

  16. J. D. Jackson,Classic Electrodynamics. J. Wiley & Sons, New York 1975, 556–561.

    Google Scholar 

  17. F. J. M. Farley, (g - 2) Experiments on the electron, muon and related topics. In: Lectures in Physics, vol. 2 (Gordon and Breach), Cargés 1968, 55.

  18. J. Bailey -E. Picasso,The anomalous magnetic moment of the muon and related topics. Nucl. Phys., 12, 1970, 43–75.

    CAS  Google Scholar 

  19. G. Charpak -F. J. M. Farley -R. L. Garwin -T. Muller -J. C. Sens -A. Zichichi,The anomalous magnetic moment of the muon. Il Nuovo Cimento, vol. 37, 1965, 1241–1363.

    Article  CAS  Google Scholar 

  20. J. Bailey -W. Bartl -G. von Bochmann -R. G. A. Brown -F. J. M. Farley -M. Giesch -H. Jostlein -S. van der Meer -E. Picasso -R. W. Williams,Precise measurement of the anomalous magnetic moment of the muon. Il Nuovo Cimento, vol. A9, 1972, 369–432.

    Google Scholar 

  21. F. Combley -E. Picasso,The muon (g - 2)precession experiment: past, present and future. Phys. Rep., vol. 14, 1974, 1–58.

    Article  CAS  Google Scholar 

  22. J. Bailey -K. Borer -F. Combley -H. Drumm -F. Krienen -F. Lange -E. Picasso -W. von Rüden -F. J. M. Farley -J. H. Field -W. Flegel -P. M. Hattersley,Measurements of relativistic time dilatation for positive and negative muons in a circular orbit. Nature, vol. 268, 1977, 301–305.

    Article  CAS  Google Scholar 

  23. A. Einstein,Elektrodynamik bewegter körper. Annalen der Physik, vol. 17, 1905, 891–921.

    Article  Google Scholar 

  24. M. P. Baladin -V. M. Grebenyuk -V. G. Zinov -A. D. Konin -A. N. Ponomarey,Measurement of the lifetime of the positive muon. Sow Phys. JETP, 40, 1974, 811–814.

    Google Scholar 

  25. D. Newman -G. W. Ford -A. Rich -E. Sweetman,Precision experimental verification of special relativity. Phys. Rev. Lett., 40, 1978, 1355–1358.

    Article  CAS  Google Scholar 

  26. F. Combley -F. J. M. Farley -J. H. Field -E. Picasso, (g - 2)Experiments as a test of special relativity. Phys. Rev. Lett., 42, 1979, 1383–1385.

    Article  Google Scholar 

  27. J. Bailey -K. Borer -F. Combley -H. Drumm -F. J. M. Farley -J. H. Field -W. Flegel -P. M. Hattersley -F. Krienen -F. Lange -E. Picasso -W. von Rüden,New limits on the electric dipole moment of positive and negative muons. J. Phys., vol. G4, 1978, 345–352.

    Google Scholar 

  28. H. U. Martyn,Test of QED by High Energy Electron-Positron Collisions. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 92–161.

    Google Scholar 

  29. F. M. Pipkin,Lamb shift measurements. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 696–773.

    Google Scholar 

  30. D. A. Andrews -G. Newton,Radio-frequency atomic beam measurement of the (2 22 S ]/2 ,F = 0) - -(22P1/2,F = 1)Lamb shift interval in hydrogen. Phys. Rev. Lett., vol. 37, 1976, 1254–1257.

    Article  CAS  Google Scholar 

  31. S. R. Lundeen -F. M. Pipkin,Measurement of the Lamb-shift in hydrogen, n = 2. Phys. Rev. Lett., vol. 46, 1991, 232–235.

    Article  Google Scholar 

  32. V. G. Palchicov -Yu. L. Sokolov -V. P. Yakovlev,Lifetime of the 2p status and Lamb-shift in the hydrogen atom. JEPT Letters, vol. 38, 1983, 418–420.

    Google Scholar 

  33. T. W. Hänsch, Laser spectroscopy of atomic hydrogen. In: T. W. Hänsch - M. Inguscio (eds.), Proc. Int. School of Physics «E. Fermi». Course CXX, North Holland, Amsterdam .1994, 297–31.6.

  34. B. Cagnac -M. D. Plimmer -L. Julien -F. Biraben,The hydrogen, atom, a tool for metrology. Repr. Prog. Phys., vol. 57, 1994, 853–893.

    Article  CAS  Google Scholar 

  35. N. Ramsey,Atomic hydrogen hyperfine structure experiments. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 673–695.

    Google Scholar 

  36. V. W. Hughes -G. zu Pulitz,Muonium. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 822–904.

    Google Scholar 

  37. Allen P. Mills Jr. -Steve Chu,Precision measurements in positronium. In: T. Kinoshita (ed.),Quantum Electrodynamics. World Scientific, Singapore 1990, 774–821.

    Google Scholar 

  38. E. R. Cohen -B. N. Taylor,The 1986 adjustment of the fundamental physical constants. Rev. Mod. Phys., vol. 59, 1987, 1121–1148.

    Article  CAS  Google Scholar 

  39. E. Klempt -R. Schulze -H. Wolf -M. Camani -F. N. Gygax -W. Rüegg -A. Schlnck -H. Shilling,Measurement of the magnetic moment of the positive muon by a stroboscopic muon-spin-rotation technique. Phys. Rev., D25, 1982, 652–676.

    Google Scholar 

  40. D. R. Yennie.Integral quantum Hall effect for nonspecialists. Rev. Mod. Phys., vol. 59, 1987, 781–824.

    Article  CAS  Google Scholar 

  41. A. Blondll, Precision Electroweak Physics at LEP. CERN-PPE/94-133, 1994.

  42. A. A. Sokolov - I. M. Ternov, Synchrotron Radiation. Pergamon Press, 1968.

  43. S. L. Adler,Photon splitting and photon dispersion in strong magnetic field. Annals of Physics, 67, 1971, 599–647.

    Article  Google Scholar 

  44. E. Iacopini - P. Lazeyras - M. Morpurgo - E. Picasso - B. Smith - E. Zavattini, Experimental determination of Vacuum Polarization Effects on a Laser Light-Beam Propagating in a Strog Magnetic Field. CERN, Proposal D2, 1980, 1-19.

  45. E. Iacopini -E. Zavattni,Experimental method to detect the vacuum birifringence induced by a magnetic field. Phys. Lett., B85, 1979, 151.

    Google Scholar 

  46. Wei-Tou Ni -K. Tsubono -N. Mio -K. Nakihara -S. Chen -Sun-Kun-King S. Pan,Test of quantum electrodynamics using ultra-high sensitive interferometers. Modern Physics Letters, A, vol. 6, 1991, 3671–3678.

    Article  Google Scholar 

  47. G. Feinberg, On knowing things better and better. Some thoughts about precise physical measurements. In: M. E. Zeller (ed.), A Festschrift in honor of V. W. Huges. World Scientific, 1991, 13-27.

  48. S. Koenig -A. G. Prodell. -P. Kusch.The anomalous magnetic moment of the electron. Phys. Rev., vol. 88, 1952, 191–199.

    Article  CAS  Google Scholar 

  49. R. Karplus -N. Kroel,Fourth-order corrections in quantum electrodynamics and the magnetic moment of the electron. Phys. Rev., vol. 77, 1950, 536–549.

    Article  Google Scholar 

  50. C. Sommerfield,Magnetic Dipole moment of the electron. Phys. Rev., vol. 107, 1957, 328–329.

    Article  CAS  Google Scholar 

  51. P. Franken -S. Liebes Jr.,Magnetic moment of the proton in Bohr magnetons. Phys. Rev., vol. 104, 1970, 1197–1198.

    Article  Google Scholar 

  52. D. Kleppner,Trapped atomic hydrogen. In: G. F. Bassani - M. Inguscio - T. W. Hänsch (eds.),The Hydrogen Atom. Springer-Verlag, Berlin 1989, 103–111.

    Google Scholar 

  53. H. Helwig -R. C. Vessot -M.W. Levine -P. W. Zitzewitz -D. W. Allan -D. J. Glaze,Measurement of the unperturbated hydrogen hyperfine transition frequency. IEEE Trans. Instrum. Meas., vol. 19, 1970, 200–209.

    Article  Google Scholar 

  54. L. Essen -R. W. Donaldson -M. J. Bangiiam -E. G. Hope,Frequency of hydrogen maser. Nature, vol. 229, 1971, 110.

    Article  CAS  Google Scholar 

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Presentata nella seduta del 9 marzo 1996.

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Picasso, E. The anomalous magnetic moment of the muon and related topics. Rend. Fis. Acc. Lincei 7, 209–241 (1996). https://doi.org/10.1007/BF03001803

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