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Calculation of complex-conjugate pairs of Regge trajectories with the scalar Bethe-Salpeter equation

Расчет комплексно-сопряженных пар траекторий Редже с помощью скалярного уравнения Бете-Солпитера

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Acta Physica Academiae Scientiarum Hungaricae

Abstract

TheBethe-Salpeter equation of scalar particles is reduced to a form which is tractable numerically. This formalism is applied to the numerical calculation of Regge trajectories. 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.

Резюме

Уравнение Бете-Солпитера для скалярных частиц приведено к упрощенному виду, допускающему численное решение. Этот формализм применен к расчету траекторий Редже. Особое внимание уделено эффектам смешивания уровней при различных массах, приводящим к комплексно сопряженным парам траекторий. Также рассчитана мнимая часть полной энергии при вещественных значениях углового момента.

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Authors and Affiliations

  1. Research Group for Theoretical Physics of the Hungarian Academy of Sciences, Budapest

    K. Ladányi

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  1. K. Ladányi
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Ladányi, K. Calculation of complex-conjugate pairs of Regge trajectories with the scalar Bethe-Salpeter equation. Acta Physica 31, 265–271 (1972). https://doi.org/10.1007/BF03156846

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