Skip to main content
Log in

Superconvergence sum rules in ρπ scattering

Сверхсходящиеся правила сумм в рп рассеянии

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

Summary

We calculate the contributions of the A1 and A2 resonances to a set of six superconvergence sum rules in ρπ scattering. The π, ω and A1 terms go a good way towards saturation of the forward sum rules, and the A2 terms are rather small. The A2 contributions to the non-forward sum rules are larger, and two of them are still far from saturation.

Riassunto

Si calcolano i contributi delle risonanze A1 e A2 ad un gruppo di sei regole di somma di superconvergenza nello scattering ρπ. I termini del π, ω e A1 si avvicìnano molto alla saturazione delle regole di somma in avanti e i termini di A2 sono piuttosto piccoli. I contributi di A2 alle regole di somma non in avanti sono maggiori, e due di essi sono ancora lontani dalla saturazione.

Резюме

Мы вычисляем вклады A1 и A2 резонансов в систему шести суперсходящихся правил сумм в рп рассеянии. Члены п, щ и A1 идут правильным образом к насыщению правил сумм для рассеяния вперед, а члены A2 довольно малы. Вклад от A2 в правила сумм для рассеяния не на нулевой угол является большим, причем два из еще далеки пт насыщения.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. V. de Alfaro, S. Fubini, C. Rossetti andG. Furlan:Phys. Lett.,21, 576 (1966).

    Article  ADS  Google Scholar 

  2. F. Low:Proceedings of the Thirteenth International Conference on High-Energy Physics, Berkeley, 1966.

  3. Although the A2 is a well-established resonance, the A1 is still open to doubt; seeT. Ferbel:Phys. Lett.,21, 111 (1966). We take masses and widths fromA. H. Rosenfeld, A. Barbaro-Galtieri, W. H. Barkas, P. L. Bastien, J. Kirz andM. Roos:Rev. Mod. Phys.,37, 633 (1965).

    Article  ADS  Google Scholar 

  4. S. Fubini:Nuovo Cimento,43 A, 475 (1966).

    Article  ADS  Google Scholar 

  5. S. L. Adler:Phys. Rev.,140, B 736 (1965);W. I. Weisberger:Phys. Rev. Lett.,14, 1047 (1965).

    Article  ADS  MathSciNet  Google Scholar 

  6. P. H. Frampton:Nuovo Cimento,48 A, 703 (1967).

    Article  ADS  Google Scholar 

  7. There is some point in considering (11) and (12), rather than, say, (5) and (12), since the former pair of equations tells us something about the structure of ρ-mesons of helicity 0 and ±1 under chiralSU 3×SU 3.

  8. Strictly speaking, (11) and (12) are only true for zero pion mass, whereas (5) to (10) hold for physical pions.

  9. S. Gasiorowicz andD. A. Geffen:Phys. Lett.,22, 344 (1966).

    Article  ADS  Google Scholar 

  10. V. S. Mathur andL. K. Pandit:Phys. Lett.,19, 523 (1965);20, 320 (1966).

    Article  ADS  Google Scholar 

  11. G ωρπ, for example, being taken from the Gell-Mann, Sharp and Wagner model of ω decay.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Traduzione a cura della Redazione.

Перевебено ребакцией.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Frampton, P.H., Taylor, J.C. Superconvergence sum rules in ρπ scattering. Nuovo Cimento A (1965-1970) 49, 152–156 (1967). https://doi.org/10.1007/BF02739080

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02739080

Keywords

Navigation