Il Nuovo Cimento A (1965-1970)

, Volume 47, Issue 1, pp 113–135 | Cite as

Theoretical calculations for electron-positron colliding-beam reactions

  • G. Altarelli
  • S. De Gennaro
  • E. Celeghini
  • G. Longhi
  • R. Gatto
Article
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Received:

Summary

The radiative corrections to a typical colliding-beam reaction are calculated for a given experimental arrangement with given energy and angular resolution. Two experimental arragements are considered in detail: a symmetrical arrangement and an asymmetrical arrangement. Higher-order contributions to the radiative corrections are estimated with the use of renormalization-group techniques. A calculation is given of vector-meson resonant contributions to colliding beam reactions in the one-photon channel and possible resonant effects in the two-photon channel are considered. Some remarks on spin-polarization effects and about contributions to vacuum polarization are also made.

Keywords

Radiative Correction Angular Resolution Photon Momentum Angular Limitation Cerenkov Counter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Теоретические расчеты реакций на сталкивающихся электронно-позитронных пучках

Резюме

Вычисляются радиационные поправки к типичной реакции на встречных пучках. Вычисления проводятся для данной геометрии опыта и данного энергетиыеского и углового разрешения. В деталях рассматриваются две геометрии опыта: симметричная и асимметричная. С помошью перенормированной групповой техники оцениваются старшие порядки к радиационным поправкам. Приводится вычисление резонансного вклада векторного мезона в реакции на встречных пучках в одно-фотонном канале и рассматриваются возможные резонансные эффекты в двух-фотонном канале. Также делаются некоторые замечания о спиновых поляризационных эффектах и о вкладе от поляризации вакуума.

Riassunto

Vengono calcolate le correzioni radiative per una tipica reazione di fasci incrociati. Il calcolo è eseguito tenendo conto delle condizioni sperimentali di risoluzione in angolo ed in energia. Vengono considerate in dettaglio due situazioni: una simmetrica ed una asimmetrica. Vengono anche stimati i contributi dei più alti ordini perturbativi con l'uso della tecnica del gruppo di rinormalizzazione. Viene inoltre calcolato il contributo risonante di vari mesoni vettoriali per reazioni di fasci incrociati che avvengono con lo scambio di un solo fotone. È preso anche in considerazione il caso dello scambio di due fotoni. Vien fatta qualche considerazione sugli effetti prodotti da un'eventuale polarizzazione dei fasci incrociati e circa il contributo delle risonanze mesoniche alla polarizzazione del vuoto.

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Literatur

  1. (1).
    R. Gatto: inSpringer Tracts in Modern Physics, vol.39 (Berlin, 1965).Google Scholar
  2. (2).
    This process will be investigated with Adone by a group consisting ofG. Barbiellini, B. Borgia, M. Conversi, R. Del Fabbro, E. Di Capua, C. Pellegrini, L. Tau andS. Tazzari. We are grateful to Prof.M. Conversi for information on the project.Google Scholar
  3. (3).
    Y. S. Tsai: SLAC.PUB.-117, May 1965.Google Scholar
  4. (4).
    E. Etim andB. Touschek: LNF. 66/10 Frascati.Google Scholar
  5. (5).
    G. Putzolu:Nuovo Cimento,20, 542 (1961).CrossRefGoogle Scholar
  6. (6).
    U. Mosco:Nuovo Cimento,33, 115 (1964).CrossRefGoogle Scholar
  7. (7).
    K. E. Eriksson:Nuovo Cimento,27, 178 (1963); and alsoD. R. Yennie, S. C. Frautschi andH. Suura:Ann. of Phys.,13, 379 (1961).MathSciNetCrossRefGoogle Scholar
  8. (8).
    G. Furlan, R. Gatto andG. Longhi:Phys. Lett.,12, 262 (1964). A misprint in this article is corrected in the equation (14) of the present work.ADSCrossRefGoogle Scholar
  9. (9).
    M. Gell-Mann andF. Zachariasen:Phys. Rev.,124, 965 (1961).ADSMathSciNetCrossRefGoogle Scholar
  10. (10).
    R. Dashen andD. Sharp:Phys. Rev.,133, 1585 (1964).ADSCrossRefGoogle Scholar
  11. (11).
    A. Zdanis, L. Madansky, R. W. Kraemer, S. Hertzbach andR. Strand:Phys. Rev. Lett.,14, 721 (1965).ADSCrossRefGoogle Scholar
  12. (12).
    L. Smith:Bull. Am. Phys. Soc.,10, 502 (1965);Phys. Rev. Lett.,15, 221 (1965);G. W. London, R. R. Rau, N. P. Samios, S. S. Yamamoto, M. Goldberg, S. Lichtman, M. Primer andJ. Leitner:Phys. Rev.,143, 1034 (1966).Google Scholar
  13. (13).
    N. Cabibbo andR. Gatto:Phys. Rev. Lett.,4, 313 (1960).ADSCrossRefGoogle Scholar
  14. (14).
    See for instance:M. Grilli, F. Soso, P. Spillantini, R. Visentin, M. Nigro, E. Schiavuta, V. Valente andL. Paoluzzi; U. Amaldi jr.,A. De Gasperis andP. Stein: and other communications presented at Frascati,Conference on Experiments with Adone, February 1966.Google Scholar
  15. (15).
    C. Bernardini: Nota interna 299, Frascati LNF 65/47.Google Scholar
  16. (16).
    A. A. Sokolov andI. M. Ternov:Dokl. Akad. Nauk S.S.S.R. 153, 1052 (1963).Google Scholar
  17. (17).
    V. N. Baier andV. S. Fadin:Sov. Phys. Dokl,10, 204 (1965).ADSGoogle Scholar
  18. (18).
    R. Gatto:Nuovo Cimento,28, 658 (1963).MathSciNetCrossRefGoogle Scholar
  19. (19).
    D. M. Binnie, A. Duane, M. R. Jane, W. G. Jones, D. C. Mason, J. A. Newth, D. C. Potter, Ijaz Ur Rahman, J. Walters, B. Dickinson, R. J. Ellison, A. E. Harekham, M. Ibbotson, R. Marshall, R. F. Templemans andA. J. Wynroe:Phys. Lett.,18, 348 (1965).ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1967

Authors and Affiliations

  • G. Altarelli
    • 1
  • S. De Gennaro
    • 1
  • E. Celeghini
    • 2
  • G. Longhi
    • 2
  • R. Gatto
    • 1
    • 2
  1. 1.Istituto di Fisica dell'UniversitàFirenze
  2. 2.Istituto Nazionale di Fisica NucleareSezione di FirenzeFirenzeItaly

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