Summary
Some remarks are made concerning various aspects of the analysis of resonances produced in multi-particle final states resulting from high-energy collisions. The shape and position of a resonance are discussed by means of the connection between production cross-sections for stable and unstable particles, and a numerical example ofN * as seen in KN → KN * at different energies is given. The relation between the present description of the resonant effects and others (Watson’s finalstate interaction formula and the one-meson-exchange model of Chew and Low) is examined. Off-the-mass-shell corrections to the one-meson-exchange model are obtained in a relatively simple way. The bearing of the decay angular correlations on the production mechanism is explored ; co-ordinate axes appropriate for the peripheral model are specified; the equivalence of the azimuthal angular distribution and the Treiman-Yang distribution is established. Angular correlations are given for the decay of boson resonances (J=l, 2) resulting from definite spin and parity states in thet-channel. Some remarks are made about the inclusion of nonresonant contributions when there is a mixture of pseudoscalar and vector exchange.
Riassunto
Si fanno alcune osservazioni su vari aspetti dell’analisi delle risonanze prodotte negli stati flnali di molte particelle risultanti da collisioni di alta energia. Si discutono la forma e la posizione di una risonanza per mezzo della connessione fra le sezioni efficaci di produzione per le particelle stabili e quelle instabili, e si dà un esempio numerico dell’N * come si vede in KN→KN * a differenti energie. Si analizza il rapporto fra questa descrizione degli effetti di risonanza ed altre (la formula di Watson per le interazioni dello stato finale e il modello a scambio di un mesone di Chew e Low). Si ottengono in modo relativamente semplice le correzioni fuori lo Strato delle masse al modello a scambio di un mesone. Si analizza l’influenza delle correlazioni angolari del decadimento sul meccanismo di produzione; si definiscono gli assi coordinati appropriati al modello periferico; si afferma l’equivalenza della distribuzione angolare azimutale con la distribuzione di Treiman-Yang. Si danno le correlazioni angolari per il decadimento di risonanze bosoniche (J=l,2) risultanti da stati con spin e parità definite nel canalet. Si fanno alcune osservazioni sull’inclusione di eontributi non risonanti quando si ha una mescolanza di scambio pseudoscalare e vettoriale.
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On sabbatical leave from the University of Illinois, Urbana, for the academic year 1963–64.
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Jackson, J.D. Remarks on the phenomenological analysis of resonances. Nuovo Cim 34, 1644–1666 (1964). https://doi.org/10.1007/BF02750563
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DOI: https://doi.org/10.1007/BF02750563