Skip to main content
Log in

A crossing-symmetric unitarization of the veneziano amplitude

Кроссинг-симметри чная унитариэация амплитуды Венециано

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

By using the Veneziano formula for ππ scattering as an approximation to the crossing-symmetricK-matrix, it is possible to obtain a model that satisfies two-body unitarity and is approximately crossing symmetric. The model contains very little freedom, but nevertheless gives good predictions for resonance masses and widths.

Riassunto

Usando la formula di Veneziano per lo scattering ππ come approssimazione alla matriceK a simmetria incrociata, è possibile ottenere un modello che soddisfa l’unitarietà a due corpi e che è approssimativamente a simmetria incrociata. Il modello non consente molta libertà, ma nondimeno fornisce buone previsioni per le masse e le ampiezze delle risonanze.

Реэюме

Благодаря испольэованию формулы Венециано для рассеяния как приближения для кроссинг-симметри чнойК-матрицы, можно получить модель, которая удовлетворяет двух-частичной унитарности и является приблиэительно кроссинг-симметрич ной. Эта модель содержит очень мало свободы, но тем не менее дает хорощие предскаэания для масс и щирин реэонансов.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C. Lovelace:Phys. Lett.,28 B, 264 (1968).

    Article  ADS  Google Scholar 

  2. C. Lovelace: CERN preprint TH 1041 (1969).

  3. R. Roskies:Phys. Lett.,30 B, 42 (1969).

    Article  ADS  Google Scholar 

  4. P. V. Landshoff andJ. C. Polkinghorne: private communication;S. Humble:Lett. Nuovo Cimento,11, 541 (1969).

    Google Scholar 

  5. J.-G. Cordes:Phys. Rev.,156, 1707 (1967). In this reference,Cordes studies the use of a constant for theV-matrix.

    Article  ADS  Google Scholar 

  6. P. N. Dobson:Lett. Nuovo Cimento,16, 751 (1969). In this reference, the freedom in the choice of a left-hand cut for the generalized phase-space function in theK-matrix unitarization is used to incorporate Adler zeros in the unitarized Veneziano model.

    Google Scholar 

  7. Levers andSchwela report much the same violation of the Roskies’ crossing conditions in theK-matrix unitarization when the phase-space function given in ref. (2) is used. SeeR.-G. Levers andD. Schwela:The π-π Veneziano model, positivity and axiomatic analyticity, Bonn preprint 2-73.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Carpenter, K.M., Negrine, S.M. A crossing-symmetric unitarization of the veneziano amplitude. Nuov Cim A 1, 13–37 (1971). https://doi.org/10.1007/BF02722608

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02722608

Navigation