Summary
A simple dynamical scheme is used in which as the result of the high-energy collision of two heavy particles ana priori arbitrary number of soft scalar particles can be produced. It is shown that the imposition of charge invariance is sufficient to derive the transformation properties of the transition operator with respect to the variables charge and number of soft particles emitted. As a consequence a mapping is established between a certain matrix element of the transition operator and the elements ofSU 1,1. In establishing this mapping an undetermined function γ(k, θ) is introduced. The predictions of the model on the law of multiple production are discussed and it is shown how the above mentioned arbitrary function characterizing the mapping can be phenomenologically determined from a comparison with experiment.
Riassunto
Si propone un semplice schema dinamico nel quale come conseguenza dell’urto di due particelle pesanti di alta energia si può produrre un numero arbitrario di particelle leggere scalari. Si mostra che l’imposizione dell’invarianza della carica è sufficiente per derivare le proprietà di trasformazione dell’operatore di transizione rispetto alle variabili carica e numero di particelle leggere emesse. Si stabilisce quindi una corrispondenza tra un certo elemento di matrice dell’operatore di transizione e gli elementi diSU 1,1. Nello stabilire questa corrispondenza si introduce una funzione indeterminata γ(k,θ). Si discutono le predizioni del modello circa la legge di produzione multipla e si mostra come la sunnominata funzione arbitraria che caratterizza la trasformazione può essere fenomenologicamente determinata dal confronto con l’esperimento.
Резюме
Используется простая динамическая схема, в которой в результате соударения двух тяжелых частиц при высокой энергии, а приори, может родиться произвольное число легких скалярных частиц. Показывается, что наложение зарядовой инвариантности является достаточным для вывода трансформационных свойств оператора перехода относительно переменных заряда и числа испущенных легких частиц. Как следствие устанавливается диаграмма между определенным матричным элементом оператора перехода и элементамиSU 1,1. При установлении этой диаграммы вводится неопределенная функция γ(k, θ). Обсуждаются предсказания модели о законе множественного рождения, и показывается, как выше упомянутая произвольная функция, характеризующая диаграмму, может быгь феноменологически определена из сравнения с экспериментом.
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Перевебено ребакцуей.
Supported in part by USAF EOAR Grant 66-29.
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Giovannini, A., Predazzi, E. Charge invariance and group-transformation properties of the scattering in a dynamical model. Nuovo Cimento A (1965-1970) 52, 255–273 (1967). https://doi.org/10.1007/BF02739288
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DOI: https://doi.org/10.1007/BF02739288