Skip to main content
Log in

Unstable particle and a dual-cut model

Нестабильная частица и дуальная модель с раэреэом

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

Summary

The unstable-particle solution has been obtained from the Bethe-Salpeter equation. The solution is connected with a timelike potential, and is due to a continuous cut contribution. A dual-cut model has been introduced, and the scattering amplitude is obtained by adding a series of dual-cut amplitudes to the dual-resonance amplitude.

Riassunto

Dall’equazione di Bethe-Salpeter si è ottenuta la soluzione delle particelle instabili. La soluzione è connessa ad un potenziale temporale ed è dovuta ad un contributo continuo di taglio. Si è introdotto un modello di taglio duale e si è ottenuta l’ampiezza di scattering aggiungendo una serie di ampiezze di taglio duale all’ampiezza della risonanza duale.

Реэюме

Иэ уравнения Бете-Салпетера было получено рещение для нестабильной частицы. Это рещение свяэывается с времени-подобным потенциалом и является реэультатом вклада непрерывного раэреэа. Вводится дуальная модель с раэреэом. Получается амплитуда рассеяния, посредством добавления ряда дуальных амплитуд с раэреэом к дуальной реэонансной амплитуде.

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. G. Veneziano:Nuovo Cimento,57 A, 190 (1968).

    Article  ADS  Google Scholar 

  2. A. Di Giacomo, S. Fubini, L. Sertorio andG. Veneziano:Phys. Lett.,33 B, 171 (1970).

    Article  ADS  Google Scholar 

  3. R. J. Eden:Proc. Roy. Soc.,217 A, 390 (1953).

    Article  MATH  ADS  Google Scholar 

  4. P. V. Landshoff:Nuovo Cimento,28, 123 (1962).

    Article  MathSciNet  Google Scholar 

  5. G. C. Wick:Phys. Rev.,96, 1124 (1954);R. E. Cutkosky:Phys. Rev.,96, 1135 (1954).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. J. C. Polkinghorne:Phys. Rev.,186, 1670 (1970).

    Article  ADS  Google Scholar 

  7. K. Kikkawa, B. Sakita andM. A. Virasoro:Phys. Rev.,184, 1701 (1969).

    Article  MathSciNet  ADS  Google Scholar 

  8. S. Ström:Ark. Fys.,30, 455 (1965).

    MATH  MathSciNet  Google Scholar 

  9. Y. C. Yang:Infinite-component field theory and the Veneziano model (to be published).

  10. See footnote (8);J. Dixmier:Bull. Soc. Math. de France,89, 9 (1961).

    MATH  MathSciNet  Google Scholar 

  11. SeeM. L. Goldberger andG. Watson:Collision Theory, Chap. 8.

  12. V. N. Gribov:Žurn. Ėksp. Teor. Fiz.,26, 414 (1968).

    Google Scholar 

  13. D. Amati, A. Stanghellini andS. Fubini:Nuovo Cimento,26, 896 (1962).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

To speed up publication, the author of this paper has agreed to not receive the proofs for correction.

Work supported by National Science Council, China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, YC. Unstable particle and a dual-cut model. Nuov Cim A 5, 407–412 (1971). https://doi.org/10.1007/BF02723463

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02723463

Navigation