Summary
Examination of the superposition of the Veneziano amplitude and satellite terms of sufficient generality to remove an arbitrary number of daughter resonances suggests a new model. The model has i) the same residue as the leading trajectory in the Veneziano amplitude, ii) forα(t)>−3/2 it gives Regge behavior in almost every direction in the complexs-plane, iii) when applied to π-π scattering, with two trajectories, it reproduces Weinberg’s scattering lengths.
Riassunto
Dall’esame della sovrapposizione dei termini satellite e di ampiezza di Veneziano che siano sufficientemente generali da rimuovere un numero arbitrario di risonanza figlie, si suggerisce un nuovo modello che ha le seguenti caratteristiche: i) lo stesso residuo della traiettoria principale nell’ampiezza di Veneziano; ii) perα(t)>−3/2 dà luogo all’andamento di Regge in quasi tutte le direzioni nel piano complessos; iii) applicato allo scattering ππ, con due traiettorie, riproduce le lunghezze di scattering di Weinberg.
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Kazes, E., Wang, Kh. An interference model for resonances suggested by the veneziano anplitude. Nuov Cim A 1, 345–356 (1971). https://doi.org/10.1007/BF02722675
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DOI: https://doi.org/10.1007/BF02722675