Advertisement

Il Nuovo Cimento A (1965-1970)

, Volume 108, Issue 7, pp 867–882 | Cite as

Quantum statistics and Altarelli-Parisi evolution equations

  • G. Mangano
  • G. Miele
  • G. Migliore
Article

Summary

The phenomenological evidence of quantum statistical effects in parton physics is here briefly summarized, and the recent good results obtained by parameterizing the parton distributions in terms of Fermi-Dirac and Bose-Einstein statistical functions are discussed. In this framework we study the modification of the scaling behaviour of parton distributions due to quantum statistical effects. In particular, by following a well-known formal analogy which holds between the Altarelli-Parisi evolution equations, at leading-log approximation, and a set of Boltzmann equations, we suggest a generalization of evolution equations to take into account Pauli exclusion principle and gluon-induced emission.

PACS

13.60 - Photon and charged-lepton interactions with hadrons 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Wolf G., Preprint DESY 94-022 (February 1994).Google Scholar
  2. [2]
    Altarelli G. andParisi G.,Nucl. Phys. B,126 (1977) 298;Gribov V. N. andLipatov L. N.,Sov. J. Nucl. Phys.,15 (1972) 438, 675;Lipatov L. N.,Sov. J. Nucl. Phys.,20 (1975) 94;Dokshitzer Y. L.,Sov. Phys. JETP,46 (1977) 641.CrossRefADSGoogle Scholar
  3. [3]
    Kuraev E. A., Lipatov L. N. andFadin V. S.,Sov. Phys. JETP,45 (1977) 199;Balitskii Ya. Ya. andLipatov L. N.,Sov. J. Nucl. Phys.,28 (1978) 822.MathSciNetADSGoogle Scholar
  4. [4]
    Girbov L. V., Levin E. M. andRyskin M. G.,Phys. Rep.,100 (1983) 1.CrossRefADSGoogle Scholar
  5. [5]
    Bourrely C., Buccella F., Miele G., Migliore G., Soffer J. andTibullo V.,Z. Phys. C,62 (1994) 431.CrossRefADSGoogle Scholar
  6. [6]
    Buccella F. andSoffer J.,Mod. Phys. Lett. A,8 (1993) 225;Europhys. Lett.,24 (1993) 165;Phys. Rev. D,48 (1993) 5416.CrossRefADSGoogle Scholar
  7. [7]
    Gottfried K.,Phys. Rev. Lett.,18 (1967) 1174.CrossRefADSGoogle Scholar
  8. [8]
    New Muon Collaboration (M. Arneodo et al.),Phys. Rev. D,50 (1994) R1.Google Scholar
  9. [9]
    European Muon Collaboration (J. Ashman et al.),Phys. Lett. B,206 (1988) 364;Nucl. Phys. B,328 (1989) 1.CrossRefADSGoogle Scholar
  10. [10]
    E142Muon Collaboration (P. L. Anthony et al.),Phys. Rev. Lett.,71 (1993) 959.CrossRefGoogle Scholar
  11. [11]
    Collins J. C. andJianwei Qiu,Phys. Rev. D,39 (1989) 1398.CrossRefADSGoogle Scholar
  12. [12]
    Mangano G., Miele G. andMigliore G., preprint FERMILAB-Pub-93/380-A (December 1993).Google Scholar
  13. [13]
    Preparata G., Ratcliffe P. andSoffer J.,Phys. Rev. Lett.,66 (1991) 687.CrossRefADSGoogle Scholar
  14. [14]
    Field R. D. andFeynman R. P.,Phys. Rev. D,15 (1977) 259.CrossRefADSGoogle Scholar
  15. [15]
    Bourquin M. et al., Z. Phys. C,21 (1983) 27;Ratcliffe P.,Phys. Lett. B,242 (1990), 271.CrossRefADSGoogle Scholar
  16. [16]
    Ellis J. andJaffe R. L.,Phys. Rev. D,9 (1974) 1444.CrossRefADSGoogle Scholar
  17. [17]
    Foudas C. et al., Phys. Rev. Lett.,64 (1990) 1207;Mishra S. R. et al., Phys. Rev. Lett.,68 (1992) 3499;Rabinowitz S. A. et al., Phys. Rev. Lett.,70 (1993) 134.CrossRefADSGoogle Scholar
  18. [18]
    UA6Collaboration G. Balocchi et al.), preprint CERN-PPE/93-129, to appear inPhys. Lett. B.;Oberson P. et al., talk at theXXVIII Recontres de Moriond, Les Arcs, March 1993;Werlen M. et al., talk at theInternational Europhysics Conference on HEP, Marseille, July 1993.Google Scholar
  19. [19]
    CCFRCollaboration (M. Shaevitz et al.), talk at theRecontres de Physique de la Valle d’Aoste, La Thuile, March 1993, preprint NEVIS R-1491.Google Scholar
  20. [20]
    Mueller A. H.,Phys. Rev. D,18 (1978) 3705;Gupta S. andMueller A. H.,Phys. Rev. D,20 (1979) 118.CrossRefADSGoogle Scholar
  21. [21]
    See, for example:Tolman R. C.,The Principles of Statistical Mechanics (Oxford University Press) 1938.Google Scholar
  22. [22]
    Ynduráin F. J.,The Theory of Quark and Gluon Interactions (Springer-Verlag) 1993.Google Scholar
  23. [23]
    Efremov A. V. andTeryaev O. V., Preprint JINR-EL-88-287;Altarelli G. andRoss G. G.,Phys. Lett. B,212 (1988) 391;Carlitz R., Collins J. C. andMueller A. H.,Phys. Lett.,214 (1988) 229.Google Scholar
  24. [24]
    Ross D. A. andSachrajda C. T.,Nucl. Phys. B,149 (1979) 497.CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1995

Authors and Affiliations

  • G. Mangano
    • 1
    • 2
  • G. Miele
    • 1
    • 2
  • G. Migliore
    • 1
    • 2
  1. 1.Dipartimento di Scienze FisicheUniversità di Napoli «Federico II»Napoli
  2. 2.INFN, sSezione di Napoli — Mostra D’OltremareNapoli

Personalised recommendations