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Il Nuovo Cimento (1955-1965)

, Volume 5, Issue 5, pp 1238–1255 | Cite as

Machine analysis of pion scattering by the maximum likelihood method

  • H. L. Anderson
  • W. C. Davidon
Article

Summary

We report here the method used to carry out a phase shift analysis of the pion-proton scattering events found in photographic emulsions and in the hydrogen diffusion cloud chamber. The method uses an electronic computer to find the best set of phase shifts for a set of scattering events having a given energy, according to a maximum likelihood criterium. This problem was coded for the electronic computer, Avidac, of the Argonne National Laboratory, and used to analyze the events found by various groups of experimenters. Most of the results have already been reported. The analyses were carried out for positive pions scattered by protons and could included-waves as well ass- andp-waves, together with the effect of the Coulomb interaction.

Riassunto

Esponiamo il metodo da noi usato per eseguire un’analisi in sfasamenti degli eventi di scattering pione-protone trovati in emulsioni nucleari e nella camera a diffusione a idrogeno. Il metodo impiega una calcolatrice elettronica per trovare la serie di sfasamenti che, seguendo un criterio di massima verosimiglianza, meglio si adatti ad una determinata serie di eventi di scattering aventi una data energia. Il problema fu impostato sulla calcolatrice elettronica Avidac dell’Argonne National Laboratory e l’impostazione servì ad analizzare gli eventi scoperti da vari gruppi di sperimentatori. La maggior parte dei risultati è già stata resa nota. Le analisi furono eseguite per lo scattering di pioni positivi su protoni e potevano includere tanto onded quanto ondes ep assieme all’effetto dell’interazione coulombiana.

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Copyright information

© Società Italiana di Fisica 1957

Authors and Affiliations

  • H. L. Anderson
    • 1
  • W. C. Davidon
    • 1
  1. 1.Enrico Fermi Institute for Nuclear StudiesThe University of ChicagoChicago

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