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On the solutions of the fluctuation problem in cascade showers

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Il Nuovo Cimento (1955-1965)

Summary

A practical method of obtaining numerical results in special cases for the number distribution function in shower theory is considered. It is also shown that Lopuszanski’s and Moyal’s recent solutions of the number distribution function equations are only formal expansions of these functions in terms of their factorial moments.

Riassunto

Si esamina un metodo pratico per ottenere in casi speciali risultati numerici per la funzione di distribuzione nella teoria degli seiami. Si dimostra anche che le retenti soluzioni di łopuszański e di Moyal delle equazioni della funzione di distribuzione sono solo sviluppi formali di tali funzioni in termini dei loro momenti fattoriali.

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References

  1. H. Bhabha andW. Heitler:Proc. Roy. Soc., A159, 432 (1937).

    Article  ADS  Google Scholar 

  2. J. łopuszański:Acta Phys. Pol.,14, 191, 251 (1955).

    MATH  Google Scholar 

  3. J. E. Moyal:Journ. of Nuclear Phys.,1, 180 (1956).

    Article  MathSciNet  ADS  Google Scholar 

  4. H. Messel andR. B. Potts:Proc. Phys. Soc., A65, 854 (1952).

    Article  MathSciNet  ADS  Google Scholar 

  5. L. Jánossy:Proc. Phys. Soc., A63, 241 (1950).

    Article  ADS  Google Scholar 

  6. H. Messel andR. B. Potts:Phys. Rev.,86, 847 (1952).

    Article  ADS  MATH  Google Scholar 

  7. L. Jánossy andH. Messel:Proc. Phys. Soc., A63, 101 (1950).

    Google Scholar 

  8. H. Messel :Commun. Dublin Inst. for Adv. Studies, Series A, No. 7.

  9. H. Messel, in:J. G. Wilson:Progress in Cosmic May Physics (Amsterdam, 1954),2, 135.

    Google Scholar 

  10. N. Arley:On the Theory of Stochastic Processes) (NewYork, 1943).

  11. H. Messel:Proc. Phys. Soc., A64, 809 (1951).

    ADS  Google Scholar 

  12. J. W. Gardner, H Gellman andH. Messel:Nuovo Cimento. 2, 58 (1055).

    Article  MathSciNet  Google Scholar 

  13. J. łopuszański:Acta Phys. Pol.,14, 265, 269 (1955).

    Google Scholar 

  14. J. łopuszański:Suppl. Nuovo Cimento,2, 150 (1955).

    Google Scholar 

  15. H. S. Green aridH. Messel:Quarterly of Applied Maths.,11. 403 (1954).

    Google Scholar 

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Authors and Affiliations

  1. The F. B. S. Falkiner Nuclear Research and Adolph Basser Computing Laboratories, School of Physics, The University of Sydney, Sydney, N. S. W.

    H. Messel

Authors
  1. H. Messel
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Additional information

Also supported by the Nuclear Research Foundation within the University of Sydney.

Traduzionc a cura della Redazione.

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Messel, H. On the solutions of the fluctuation problem in cascade showers. Nuovo Cim 4, 1339–1348 (1956). https://doi.org/10.1007/BF02746365

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  • DOI: https://doi.org/10.1007/BF02746365

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