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Inclusive cross-sections and discontinuities

Включаюшие поперечные сечения и раэрывы

  • Published:
Il Nuovo Cimento A (1971-1996)

Summary

The effect of physical-region Landau curves on the inclusive differential cross-section is investigated for a typical class of curves. It is concluded that the differential cross-section is a total discontinuity in the missing mass variableM 2 of an amplitude evaluated on an unphysical sheet. There is a point of nonanalyticity at each new singularity.

Riassunto

Si investiga sull’effetto delle curve di Landau della regione fisica sulla sezione d’urto differenziale completa, per una classe tipica di curve. Si conclude che la sezione d’urto differenziale è una discontinuità totale nel difetto di massa variabileM 2 di una ampiezza valutata su di un piano non fisico. C’è un punto di non analiticità in ciascuna nuova singolarità.

Реэюме

Для типичного класса кривых исследуется влияние кривых Ландау в фиэической области на включаюшее дифференциальное поперечное сечение. Утверждается, что дифференциальное поперечное сечение представляет полный скачок по переменной недостаюшей массыM 2 амплитуды, вычисленной на нефиэическом листе. Сушествует точка неаналитичности в каждой новой сингулярности.

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, England

    J. C. Polkinghorne

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  1. J. C. Polkinghorne
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Polkinghorne, J.C. Inclusive cross-sections and discontinuities. Nuov Cim A 7, 555–566 (1972). https://doi.org/10.1007/BF02734212

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  • DOI: https://doi.org/10.1007/BF02734212

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