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Title of Journal: Nuovo Cimento A 19651970

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Abbravation: Il Nuovo Cimento A (1965-1970)

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Springer Berlin Heidelberg

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DOI

10.1007/bf00970336

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1826-9869

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On some properties of the multiparticle amplitude

Authors: M Toller
Publish Date: 2016/01/09
Volume: 62, Issue: 1, Pages: 341-371
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Abstract

A scattering process involving an arbitrary number of particles with arbitrary not all vanishing masses and arbitrary spins and parities is described in terms of amplitudes which are a generalization of the amplitudes introduced by Bali Chew and Pignotti in their treatment of the multiRegge model The covariance properties of these functions are derived It is proved that if the boosts used in their definition are properly chosen in the complex Lorentz group these amplitudes are free of kinematic singularities and constraints The relevance of these results for the treatment of the kinematical details of the multiRegge model is pointed outНа основе амплитуд которые представляют обобщение амплитуд введенных Бали Чу и Пиньотти при рассмотрении множественной модели Редже опиыывается процесс рассеяния включающий произвольное число частиц с произвольными но не все обращающиеся в нуль массами и произвольными спинами и четностями Выводятся ковариантные свойства этих функций Доказывается что если использованные при их определении дополнения оказываются правильно выбранными в комплексной группе Лорентца то эти амплитуды являются свободными от кинематических сингулярностей и ограничений Отмечается уместность этих результатов для рассмотрения кинематических подробностей множественной модели РеджеSi descrive un processo d’urto che coinvolge un numero arbitrario di particelle con masse arbitrarie non tutte nulle e con spin e parità arbitrari per mezzo di ampiezze che sono una generalizzazione delle ampiezze introdotte da Bali Chew e Pignotti nella loro trattazione del modello multiRegge Si ricavano le proprietà di covarianza di queste funzioni e si dimostra che se le trasformazioni di Lorentz usate nella loro definizione sono scelte opportunamente nel gruppo complesso queste ampiezze sono libere di singolarità e condizioni cinematiche Si mette in luce l’utilità che questi risultati possono avere per la trattazione dei dettagli cinematici del modello multiRegge

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