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Relativistic two-body scattering

Релятивистское двух-частичное рассеяние

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Il Nuovo Cimento A (1965-1970)

Summary

Relativistic two-body scattering is treated using the Klein-Gordon equation which admits positive-energy solutions only. The total scattering cross-section is expressed in terms of phase shifts, which are in turn related to the inter-particle potential. A direct calculation of the cross-section, employing a method due to Dirac, is also given. These two methods are applied to the case of a δ-function potential.

Riassunto

Si tratta lo scattering relativistico di due corpi usando l'equazione di Klein-Gordon, che ammette solo soluzioni di energia positiva. Si esprime la sezione d'urto totale di scattering in termini degli spostamenti di fase, che sono a loro volta collegati al potenziale fra particelle. Si espone anche un calcolo diretto della sezione d'urto tramite un metodo dovuto a Dirac. Si applicano questi due metodi al caso di un potenziale a forma di funzione δ.

Резюме

Рассматривается релятивистское двух-частичное рассеяние, используя уравнение Клейна-Гордона, которое допускает только решения с положительной энергией. Полное поперечное сечение рассеяния выражается в терминах сдвига фаз, которые, в свою очередь, связаны с междучастичным потенциалом. Также приводится прямое вычисление поперечного сечения, используя метод, развитый Дираком. Эти два метода применяются к случаю δ-функционального потенциала.

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References

  1. The Green function approach to the standard Klein-Gordon equation has been treated by:T. Tietz:Acta. Phys. Hungar.,17, 383 (1964).

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Authors and Affiliations

  1. Drexel Institute of Technology, Philadelphia, Pa.

    A. M. Brett & J. A. Okolowski

Authors
  1. A. M. Brett
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  2. J. A. Okolowski
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Additional information

Work supported by a National Science Foundation grant.

Traduzione a cura della Redazione.

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Brett, A.M., Okolowski, J.A. Relativistic two-body scattering. Nuovo Cimento A (1965-1970) 58, 824–834 (1968). https://doi.org/10.1007/BF02825373

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