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Numerical solution of a simplified bethe-salpeter equation for pion-pion interaction neart = 0

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Il Nuovo Cimento (1955-1965)

Summary

The Bethe-Salpeter equation for two pions interacting through the exchange of ρ-mesons is investigated in the ladder approximation. The form-factor of the π-ρ-π vertex is taken into account by means of a simple expression containing an adjustable parameter. The equation for zero-energy Regge poles is solved numerically and a perturbative method is used to find the slope of the Regge trajectories.

Riassunto

Si studia l’equazione di Bethe-Salpeter per due pioni interagenti tramite scambio di mesnoni p nell’approssimazione a scala e prendendo per il fattore di forma del vertiee π-ρ-n una espressione semplificata contenente un parametro. Viene risolta numericamente l’equazione per poli di Regge di energia zero e poi usando un metodo perturbativo si trovano le pendenze delle traiettorie di Regge.

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Authors and Affiliations

  1. Istituto di Fisica dell’Università, Roma

    M. Restignoli, L. Sertoeio & M. Toller

  2. Sezione di Roma, Istituto Nationale di Fisica Nucleate, Roma

    M. Restignoli, L. Sertoeio & M. Toller

Authors
  1. M. Restignoli
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  2. L. Sertoeio
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  3. M. Toller
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Restignoli, M., Sertoeio, L. & Toller, M. Numerical solution of a simplified bethe-salpeter equation for pion-pion interaction neart = 0. Nuovo Cim 37, 511–523 (1965). https://doi.org/10.1007/BF02749853

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  • DOI: https://doi.org/10.1007/BF02749853

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