Summary
The reactions K+p→K0 N *++,π p→π0 N *+┴ and π p→ωN *++ are studied using ρ Regge-pole exchange mechanism. The values of the ρ trajectory α (t) are taken from the π− -p charge exchange scattering data and thet-dependence of the residues is neglected. Then the latter are obtained in terms of the field-theoretic coupling constants using the fact that Regge-pole exchange is identical to the corresponding elementary-particle exchange at the pole point. Thus the production cross-sections are obtained in terms of these coupling constants and do not involve any other unknown parameters. The coupling constants are then determined by normalizing the total cross-section for each reaction to the experimental value at a given energy, and are shown to agree with existing estimates. Finally the energy and momentum-transfer dependence of the three production cross-sections are analysed and are found to be in broad agreement with experiment.
Riassunto
Servendosi del meccanismo di scambio del polo di Regge del ρ, si studiano le reazioni K+p→K0 N *++,π p→π0 N *+┴ e π p→ωN *++. Si deducono i valori della traiettoria α(t) del ρ dati dello scattering con scambio di carica π− -p e si trascura la dipendenza dat dei residui. Quindi si ottengono questi ultimi in funzione delle costanti di accoppiamento della teoria dei campi in base al fatto che lo scambio di un polo di Regge è uguale al corrispondente scambio di una particella elementare nel punto del polo. Così si ottengono, in funzione di queste costanti di accoppiamento, le sezioni d'urto della produzione, che non coinvolgono nessun altro parametro sconosciuto. Si determinano poi le costanti di accoppiamento normalizzando la sezione d'urto totale per ciascuna reazione al suo valore sperimentale ad una data energia, e si dimostra che esse concordano con le stime esistenti. Infine si studiano l'energia e la dipendenza delle tre sezioni d'urto della produzione dal momento trasferito e si trova che esse concordano largamente con gli esperimenti.
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Roy, D.P. N * production in high-energy π-p and K-p collisions by regge-pole exchange modelproduction in high-energy π-p and K-p collisions by regge-pole exchange model. Nuovo Cimento A (1965-1970) 40, 513–522 (1965). https://doi.org/10.1007/BF02721041
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DOI: https://doi.org/10.1007/BF02721041