Skip to main content
Log in

Physical photo- and electroproduction at threshold by current-algebra sum rules

Физическое фото- и электро-рождение на пороге на основе правил сумм алгебры токов

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

Summary

By saturation of equal-time commutators of current algebra and field algebra, expressions for physical electroproduction amplitudes are deduced. They contain electromagnetic and axial form factors plus terms of orderμ 2 (pion mass). A detailed evaluation of those corrections 3 is discussed together with the comparison with experiments.

Riassunto

Dalla saturazione di commutatori a tempi uguali dell'algebra delle correnti e dell'algebra dei campi si ricavano le espressioni di certe ampiezze fisiche di elettroproduzione. Esse contengono fattori di forma elettromagnetici e assiali più termini di ordine superiore nella massa del pione. Si discute una valutazione dettagliata di queste correzioni e si fanno dei confronti con i dati sperimentali.

Резюме

Посредством насыщения коммутаторов алгебры токов и алгебры полей при равных временах, выводятся выражения для физических амплитуд электророждения. Они содержат электромагнитные и аксиальные форм-факторы плюс члены, порядкаμ 2 (масса пиона). Обсуждается подробное 3 развитие этих поправок, и проводится сравнение с экспериментом.

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. For a summary of the method and results seeS. L. Adler andR. Dashen:Current Algebras (New York, 1968);B. Renner:Current Algebras and Their Applications (Oxford, 1968).

  2. Seee.g. S. Weinberg:Phys. Rev. Lett.,17, 168 (1966) where other references are given.

    Google Scholar 

  3. F. von Hippel andJ. K. Kim:Phys. Rev. Lett.,20, 1303 (1968).

    Article  ADS  Google Scholar 

  4. S. Fubini andG. Furlan:Ann. of Phys.,48, 322 (1968);V. de Alfaro andC. Rossetti:Invited Paper at the 1967 Meeting of the Italian Physical Society (Bologna).

    Article  ADS  Google Scholar 

  5. J. D. Bjorken:Phys. Rev.,148, 1467 (1968).

    Article  ADS  Google Scholar 

  6. N. Kroll andM. A. Ruderman:Phys. Rev.,93, 233 (1954).

    Article  ADS  Google Scholar 

  7. See for instance the recent paper byS. L. Adler:Photo-electro-weak single-pion production in the (3, 3)resonance region, Institute for Advanced Study, preprint.

  8. P. Dennery:Phys. Rev.,124, 2000 (1960).

    Article  ADS  MathSciNet  Google Scholar 

  9. J. P. Burg:Ann. de Phys.,10, 363 (1965).

    Google Scholar 

  10. W. Hitzeroth:Proceedings of the International Symposium on Electron-Photon Interactions, vol.2 (Hamburg, 1965), p. 207.

    Google Scholar 

  11. See, for instance;N. Zagury:Phys. Rev.,143, 1112 (1966).

    Article  ADS  Google Scholar 

  12. M. S. Bhatia andP. Narayanaswany:Phys. Rev.,172, 1742 (1968). Other calculations are quoted in this paper.

    Article  ADS  Google Scholar 

  13. R. D. Peccei:Chiral Lagrangian model of single pion photoproduction, M.I.T. preprint (1968).

  14. S. L. Adler: inProceedings of the International Conference on Weak Interactions (Argonne, 1965);S. Fubini, G. Furlan andC. Rossetti:Nuovo Cimento,40 A, 1171 (1965);G. Furlan, R. Jengo andE. Remiddi:Nuovo Cimento,44 A, 427 (1966);Riazuddin andB. W. Lee:Phys. Rev.,146 B, 1202 (1966).

  15. M. Gourdin andPh. Salin:Nuovo Cimento,27, 309 (1963).

    Article  Google Scholar 

  16. L. Durand, P. C. De Celles andR. B. Marr:Phys. Rev.,126, 1882 (1962);J. D. Bjorken andJ. D. Walecka:Ann. of Phys.,38, 35 (1966).

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work supported in part by Istituto Nazionale di Fisica Nucleare.

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Furlan, G., Paver, N. & Verzegnassi, C. Physical photo- and electroproduction at threshold by current-algebra sum rules. Nuovo Cimento A (1965-1970) 62, 519–554 (1969). https://doi.org/10.1007/BF02753009

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02753009

Keywords

Navigation