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Statistical bootstrap models for build-up and decay of isoscalar and isovector fireballs

Статистические модели бутстрапа для обраэования и распада иэоскалярных и иэовекторных файрболов

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Il Nuovo Cimento A (1965-1970)

Summary

The level density and the decay of isoscalar and isovector fireballs (with input pions) are studied in the framework of the statistical bootstrap model. We find that different versions of this model lead to the same total multiplicity distribution for large fireball massM. Asymptotic expressions for the integrated multiplicity correlation of charged particles are derived. The correlations are calculated numerically in the range 1 GeV⩽M⩽8 GeV.

Riassunto

Servendosi del modello statistico a bootstrap si studiano la densità dei livelli e il decadimento di fireball isoscalari e isovettoriali (con pioni di entrata). Si trova che per valori elevati della massaM dei fireball versioni diverse di questo modello danno la stessa distribuzione totale di molteplicità. Si deducono espressioni asintotiche per la correlazione di molteplicità integrata delle particelle cariche. Nell’intervallo 1 GeV⩽M⩽⩽8 GeV si calcolano numericamente le correlazioni.

Реэюме

В рамках статистической модели бутстрапа исследуются плотность уровней и распад иэоскалярных и иэовекторных файрболов. Мы получаем, что раэличные варианты зтой модели приводят к одинаковому полному распределению множественности для больщих масс файрболов М. Выводятся асимптотические выражения для корреляции интегральной множественности эаряженных частиц. В области 1 ГзВ⩽M⩽8 ГзВ численно вычисляются укаэанные корреляции.

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References

  1. See,e.g.,A. Białas: invited talk given at theIV International Symposium on Multiparticle Hadrodynamics, Pavia, 1973, CERN preprint TH 1745.

  2. R. Hagedorn: CERN preprint 71-12;Suppl. Nuovo Cimento,3, 147 (1965).

  3. S. Frautschi:Phys. Rev. D,3, 2821 (1971).

    Article  ADS  Google Scholar 

  4. I. Yellin:Nucl. Phys.,52 B, 583 (1973).

    Article  ADS  Google Scholar 

  5. F. Cerulus:Nuovo Cimento,19, 528 (1960).

    Article  MathSciNet  Google Scholar 

  6. J. Engels, H. Satz andK. Schilling:Nuovo Cimento,17 A, 535 (1973).

    Article  ADS  Google Scholar 

  7. E.-M. Ilgenfritz andJ. Kripfganz:Nucl. Phys.,62 B, 141 (1973).

    Article  ADS  Google Scholar 

  8. After completion of this work we received a preprint ofKripfganz andIlgenfritz which treats some aspects of nonexoticity requirements in the linear-bootstrap case (8).

  9. J. Kripfganz andE.-M. Ilgenfritz: Leipzig University preprint KMU-HEP-7401, December 1973.

  10. R. Hagedorn andI. Montvay:Nucl. Phys.,59 B, 45 (1973).

    Article  ADS  Google Scholar 

  11. C. B. Chiu:Nucl. Phys.,54 B, 170 (1973).

    Article  ADS  Google Scholar 

  12. E.-M. Ilgenfritz andJ. Kripfganz:Nucl. Phys.,56 B, 241 (1973).

    Article  ADS  Google Scholar 

  13. K. Fabricius andU. Wambach:Nucl. Phys.,62 B, 212 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  14. W. Nahm:Nucl. Phys.,45 B, 525 (1972).

    Article  MathSciNet  ADS  Google Scholar 

  15. I. Montvay:Nucl. Phys.,53 B, 521 (1973).

    Article  ADS  Google Scholar 

  16. A. H. Mueller:Phys. Rev. D,4, 150 (1971);L. S. Brown:Phys. Rev. D,5, 748 (1972);K. J. Biebl andJ. Wolf:Nucl. Phys.,44 B, 301 (1972).

    Article  ADS  Google Scholar 

  17. There is of course no unique way of injecting isospin into the full bootstrap.Wambach (16),e.g., uses a special ansatz for the isospin coupling, motivated by the Chan-Paton method for the construction of dual amplitudes with isospin.

  18. U. Wambach: University of Bielefeld preprint Bi-74/01, Jan. 1974.

  19. K. Kajantie andV. Karimäki:Computer Phys. Comm.,2, 207 (1971).

    Article  ADS  Google Scholar 

  20. A. Jabs: University of Kaiserslautern preprint, Sept. 1972;S. J. Orfanidis andV. Rittenberg:Nucl. Phys.,59 B, 570 (1973).

    Article  ADS  Google Scholar 

  21. See Appendix B.

  22. H. Behnke andF. Sommer:Theorie der Funktionen einer komplexen Veränderlichen, IV. Kapitel (Berlin, 1955).

  23. F. Csikor, I. Farkas, Z. Katona andI. Montvay:Nucl. Phys.,74 B, 343 (1974).

    Article  ADS  Google Scholar 

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« Und wir Jünglinge sangen, Und empfanden, wie Hagedorn. »

F. G.Klopstock, 1750

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Engels, J., Fabricius, K. & Schilling, K. Statistical bootstrap models for build-up and decay of isoscalar and isovector fireballs. Nuov Cim A 23, 581–609 (1974). https://doi.org/10.1007/BF02821235

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  • DOI: https://doi.org/10.1007/BF02821235

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