Il Nuovo Cimento (1955-1965)

, Volume 33, Issue 2, pp 309–330 | Cite as

On the connection between production mechanism and decay of resonances at high energies

  • K. Gottfried
  • J. D. Jackson
Article

Summary

The production of unstable particles in peripheral collisions at high energies is considered, with emphasis on the connection between the production mechanism and the angular correlations in the decay of the unstable particles. By means of the crossing relations for helicity amplitudes a direct relation (10) is established between thet-channel helicity amplitudes and the spin-space density matrix (relative to a suitable system of co-ordinate axes) of one of the reaction products. The extent to which the decay angular distributions determine the density matrix is fully discussed. As an example, various quasi-two-body chan of KN collisions are considered, especially KN → K*N It is shown that, while the decay correlations of K* at 3 GeV/c are consistent with dominantly vector-meson exchange, they are also consistent with the exchange of systems with any J ⩾1 provided the parity is (-1)J. Advantage is taken of this observation to generalize the one-mesonexchange model by means of Eegge-pole exchange in a way which gives a natural explanation of the very peripheral nature of the production process, while maintaining agreement with the decay data.

Riassunto

Si studia la produzione di particelle instabili nelle collisioni periferiche di alta energia, sottolineando la connessione fra il meccanismo di produzione e le correlazioni angolari nel decadimento delle particelle instabili. Per mezzo delle relazioni di incrocio per le ampiezze di elicità si stabilisce una relazione diretta (10) fra le ampiezze di elicità del canalet e la matrice della densità di uno dei prodotti di reazione nello spazio degli spin (relativa ad un opportuno sistema di assi coordinati). Si discute entro quale estensione le distribuzioni angolari del decadimento determinano la matrice della densità. Come esempio, si studiano vari canali a quasi due corpi delle collisioni KN, specialmente KN → K*N. Si dimostra che, montre le correlazioni del decadimento del K* a 3 GeV/c sono conformi ad uno scambio di mesoni vettoriali predominante, sono anche conformi con lo scambio di sistemi con qualunque J≠ 1 purchè la parità sia (-1)J. Si trae vantaggio da questa osservazione per generalizzare il modello a scambio di un mesone per mezzo dello scambio di poli di Regge in un modo che dà una spiegazione naturale della natura spiccatamente periferica del processo di produzione, pur mantenendo l’accordo con i dati del decadimento.

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Copyright information

© Società Italiana di Fisica 1964

Authors and Affiliations

  • K. Gottfried
    • 1
  • J. D. Jackson
    • 1
  1. 1.CERNGeneva

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