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Calculation of colliding Regge trajectories with the Bethe-Salpeter equation

Вычисление сталкивающихся треакторий Редже с помощью уравнения Бете-Салпетера

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Il Nuovo Cimento A (1965-1970)

Summary

Representative examples of colliding Regge trajectories are computed by solving the Bethe-Salpeter equation of scalar particles in the ladder approximation. Particular attention is paid to the level mixing effects of the mass difference leading to complex-conjugate pairs of trajectories. The calculations include the imaginary part of the total energy at real values of the angular momenta. The numerical procedure is based on a generalized least-squares method.

Riassunto

Si calcolano esempi rappresentativi di traiettorie di Regge che collidono risolvendo l'equazione di Bethe-Salpeter delle particelle scalari negli effetti di miscelamento dei livelli della differenza di massa che porta alle coppie complesse coniugate dalle traiettorie. I calcoli comprendono la parte immaginaria dell'energia totale per valori reali degli impulsi angolari. Il procedimento numerico è basato su un metodo dei minimi quadrati generalizzato.

Резюме

Вычисляются типичные примеры сталкивающихся траекторий Редже посредством решения уравнения Бете-Салпетера для скалярных частиц в лестничном приближении. Особое внимание уделяется влиянию смешивания уровней на разность масс, которая приводит к комплексно-сопряженным парам траекторий. Вычисления включают мнимую часть полной энергии при вещественном эначении момента. Численная процедура основывается на обобщенном методе наименьших квадратов.

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  1. K. Ladányi

    Present address: Research Group for Theoretical Physics, Hungarian Academy of Sciences, Budapest

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  1. Max-Planck-Institut für Physik und Astrophysik, Munich

    K. Ladányi

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Ladányi, K. Calculation of colliding Regge trajectories with the Bethe-Salpeter equation. Nuovo Cimento A (1965-1970) 70, 405–418 (1970). https://doi.org/10.1007/BF02725384

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