Skip to main content
SpringerLink
Log in

Analysis of multiplicity distributions in short-range correlation models

Аналиэ распределений множественности в моделях короткодействуюших корреляций

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

Summary

The general multiplicity distribution for models with only short-range correlations can be approximated by a Gaussian times a power series in 1/〈n〉, which corresponds to an expansion of the general distribution around its single maximum. This approximate distribution is compared with experimental prong cross-sections for inelastic p-p scattering and the necessity of an additional (diffractive) mechanism is investigated.

Riassunto

La distribuzione generale di molteplicità per modelli con correlazioni solo a corto raggio si può approssimare con una gaussiana moltiplicata per uno sviluppo in serie di potenze 1/〈n〉, il che corrisponde a uno sviluppo della distribuzione generale intorno al suo singolo massimo. Si confronta questa distribuzione approssimata con sezioni d’urto sperimentali dei rami per lo scattering anelastico p-p e si indaga sulla necessità di un meccanismo (diffrattivo) addizionale.

Реэюме

Обшее распределение множественности для моделей только с корот-кодействуюшими корреляциями может быть аппроксимировано с помошью гаус-сиана, умноженного на степенной ряд по 1/〈n〉, который соответствует раэложению обшего распределения около его единственного максимума. Это приближенное распределение сравнивается с зкспериментальными лучевыми поперечными сечениями для неупругого р-р рассеяния. Обсуждается необходимость дополнительного (дифрак-ционного) механиэма.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. H. Mueller:Proceedings of the XVI International Conference on High-Energy Physics, Vol.1 (Batavia, Ill., 1972), p. 347, and references therein.

  2. A. H. Mueller:Phys. Rev. D,4, 150 (1971).

    Article  ADS  Google Scholar 

  3. W. R. Frazer, R. D. Peccei, S. Pinsky andC.-I. Tan:Phys. Rev. D (to be published).

  4. M. Le Bellac:Phys. Lett.,37 B, 413 (1971).

    Article  ADS  Google Scholar 

  5. V. V. Ammosov, V. N. Boitsov, P. F. Ermolov, A. B. Fenyuk, P. A. Gorichev, E. P. Kistenev, S. V. Klimenko, B. A. Manyukov, A. M. Moiseev, R. M. Sulyaev, S. V. Tarasevich, A. P. Vorobjev, H. Blumenfeld, J. Derre, P. Granet, M. A. Jabiol, A. Leveque, M. Loret, E. Pauli, Y. Pons, J. Prevost, J. C. Scheuer, M. Boratav, J. Laberrigue, H. K. Nguyen andS. Orenstein:Phys. Lett.,42 B, 519 (1972).

    Article  ADS  Google Scholar 

  6. J. W. Chapman, N. Green, B. P. Roe, A. A. Seidl, D. Sinclair, J. C. Vander Velde, C. M. Bromberg, D. Cohen, T. Ferbel, P. Slattery, S. Stone andB. Werner:Phys. Rev. Lett.,29, 1686 (1972);G. Charlton, Y. Cho, M. Derrick, R. Engelmann, T. Fields, L. Hyman, K. Jaeger, U. Mehtani, B. Musgrave, Y. Oren, D. Rhines, P. Schreiner, H. Yuta, L. Voyvodic, R. Walker, J. Whitmore, H. B. Crawley, Z. Ming Ma andR. G. Glasser:Phys. Rev. Lett.,29, 515 (1972);F. T. Dao, D. Gordon J. Lach, E. Malamud, T. Meyer, R. Poster andW. Stater:Phys. Rev. Lett.,29, 1627 (1972).

    Article  ADS  Google Scholar 

  7. H. Cramér:Mathematical Methods of Statistics (Princeton, N.J. 1946).

  8. M. Abramowitz andI. Stegun:Handbook of Mathematical Functions (New York, 1965).

  9. W. I. Weisberger: Stony Brook preprint, ITP-SB-73-17 (1973).

  10. Y. Tomozawa: SLAC preprint, SLAC-PUB-1232 (1973);R. Baier:Acta Phys. Austriaca (in press).

  11. W. Feller:An Introduction to Probability Theory and Its Applications, Vol.2 (New York, 1966).

  12. M. Jacob:Proceedings of the XVI International Conference on High-Energy Physics, Vol.3 (Batavia, Ill., 1972), p. 373.

  13. U. Amaldi, R. Biancastelli, C. Bosio, G. Matthiae, J. V. Allabey, W. Bartel, G. Cocconi, A. N. Diddens, R. W. Dobinson andA. M. Wetherell:Phys. Lett.,44 B, 112 (1973).

    Article  ADS  Google Scholar 

  14. Z. Koba, H. B. Nielsen andP. Olesen:Nucl. Phys.,40 B, 317 (1972).

    Article  ADS  Google Scholar 

  15. P. Slattery:Phys. Rev. D,7, 2073 (1973).

    Article  ADS  Google Scholar 

  16. E.g.,H. B. Nielsen andP. Olesen:Phys. Lett.,43 B, 37 (1973);D. Levy: Saclay preprint, DPh-T/73-9 (1973);K. Fiałkowski andH. I. Miettinen:Phys. Lett.,43 B, 493 (1973).

    Article  ADS  Google Scholar 

  17. M. Bander:Phys. Rev. Lett.,30, 460 (1972).

    Article  ADS  Google Scholar 

Download references

Author information

Author notes

  1. F. Widder

    Present address: Institut für Hochenergiephysik der Österreichischen Akademie der Wissenschaften, Vienna

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Graz, Graz

    R. Baier & F. Widder

Authors
  1. R. Baier
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Widder
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.

Partly supported by the Fonds zur Förderung der wissenschaftlichen Forschung in Österreich.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Baier, R., Widder, F. Analysis of multiplicity distributions in short-range correlation models. Nuov Cim A 20, 260–270 (1974). https://doi.org/10.1007/BF02821090

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02821090

Search

Navigation