Summary
A class of dual, crossing-symmetric representations having finite-width resonances and Regge asymptotic behaviour for all physi cally attainable regions of the crossed-channel variables is obtained. One of these representations is examined in detail. A number of physical applications are also presented including an explanation of the Dalitzplot distribution for\(\bar pn \to 3\pi \), the behaviour of the most important ππ phase shifts and a determination of the ππS-wave scattering lengths.
Riassunto
Si ottiene una classe di rappresentazioni duali a simmetria incrocita, che hanno risonanze di ampiezza finita e comportamento di Regge asintotico per tutte le regioni raggiungibili fisicamente del canale incrociato. Si esamina in dettaglio una di queste rappresentazioni. Si presenta anche un certo numero di applicazioni fisiche, comprese una spiegazione della distribuzione del diagramma di Dalitz per\(\bar pn \to 3\pi \), il comportamento dei più importanti spostamenti di fase ππ ed una determinazione delle lunghezze di scattering ππ di ondaS.
Резюме
Получается класс дуальных кроссинг-симметричных представлений, имеющих резонансы с конечной шириной и асимптотическое поведение Редже для всех физически достижимых областей переменных перекрестного канала. Одно из этих представлений исследуется подробно. Также приводится ряд физических приложений, включая обьяснение распределения кривой Далитца для\(\bar pn \to 3\pi \), поведения наиболее важных ππ фазовых сдвигов и определенияS-волнового рассеяния пиона пионом.
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Supported in part by the National Research Council of Canada.
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Gaskell, R.W. Dual, crossing-symmetric representations with finite-width resonances and Regge asymptotic behaviour. Nuov Cim A 16, 315–344 (1973). https://doi.org/10.1007/BF02819425
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DOI: https://doi.org/10.1007/BF02819425