Summary
Starting from a dual analytic model that interpolates soft and hard collisions, we give an explicit expression for its impact parameter amplitude at high energy. The mean effective interaction radius is evaluated and compared with experiment. Constraints on the parameters of the model are discussed.
Riassunto
Partendo da un modello duale, che interpola analiticamente piccoli e grandi valori del momento trasferito nell’urto, si dà una espressione esplicita per l’ampiezza di scattering nel parametro d’impatto ad alte energie. Si calcola il raggio medio effettivo dell’interazione e lo si paragona con risultati dedotti dagli esperimenti. Si discutono anche i vincoli fisici sui parametri del modello.
Резюме
Исходя из дуалвной аналитической модели, которая связывает мягкие и жесткие соударения, мы приводим явное выражение для зависимости амплитуды от прицельного параметра при высоких энергиях. Вычисляется средний эффективный радиус взаимодействия, который сравнивается с экспериментом. Обсуждаются ограничения на параметры модели.
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Chikovani, Z.E., Jenkovszky, L.L., Maximov, M.Z. et al. Analytic model for soft and hard hadronic collisions. Nuov Cim A 103, 163–173 (1990). https://doi.org/10.1007/BF02820589
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DOI: https://doi.org/10.1007/BF02820589