Il Nuovo Cimento (1955-1965)

, Volume 37, Issue 4, pp 1407–1421 | Cite as

The high-energy limit of the statistical model



The sum over allN-particle phase space integrals forN ⩾ 3\(\Omega _R (P) = \sum\limits_{N = 3}^\infty {\frac{{(2mR^3 )^N }}{{N!}}\int {...\int {\prod\limits_{t = 1}^N {\frac{{d^3 p_i }}{{2p_{i0} }}} } } } \delta (4)(\sum\limits_{i = 1}^N {p_i - P} )\) with interaction factorR is evaluated for high energiesW= √P2≫m, using the limit-theorem formalism of statistics. Applied to the calculation of the multiplicity our result is shown to yield asymptotically Fermi’s thermodynamic limit.


Si valuta la somma sopra tutti gli integrali dello spazio delle fasi perN particelle, oonN⩾3,\(\Omega _R (P) = \sum\limits_{N = 3}^\infty {\frac{{(2mR^3 )^N }}{{N!}}\int {...\int {\prod\limits_{t = 1}^N {\frac{{d^3 p_i }}{{2p_{i0} }}} } } } \delta (4)(\sum\limits_{i = 1}^N {p_i - P} )\)con il fattoreR di interazione, per alte energieW=√P2≫m, usando il formalismo statistico del teorema limite. Si mostra che il presente risultato, applicato al calcolo della molteplicità, porta asintoticamente al limite termodinamioo di Fermi.


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Copyright information

© Società Italiana di Fisica 1965

Authors and Affiliations

  • H. Satz
    • 1
  1. 1.Deutsches Elektronen-Synchrotron (DESY)Hamburg

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