Skip to main content
SpringerLink
Log in

Bound-state conditions from theND −1 equations

Условия для связанных состояний изND −1 уравнений

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

Summary

I derive conditions on the input to the matrixND −1 equations for there to be a bound state with given mass and couplings. Forn dynamically coupled channels there aren+1 conditions,n of which are essentially algebraie.

Riassunto

Si ricavano le condizioni sulle entrate alle equazioniND −1 matriciali affinchè ci sia uno stato di massa legato e accoppiamenti dati. Pern canali dinamicamente accoppiati vi sonon+1 condizioni, delle qualin sono essenzialmente algebriche.

Резюме

Выводятся условия на вводимое в матричные уравненияND −1, для того чтобы существовало связанное состояние с данной массой связываемых частиц. Дляn динамически связанных каналов существуетn+1 условие,n из которых являются существенно алгебраическими.

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

Access this article

Log in via an institution

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. G. C. Chew andS. Mandelstam:Phys. Rev.,119, 467 (1960).

    Article  ADS  MathSciNet  Google Scholar 

  2. F. Zachariasen:Phys. Rev. Lett.,7, 112, 268 (1961).

    Article  ADS  Google Scholar 

  3. G. F. Chew:Phys. Rev. Lett.,9, 233 (1962).

    Article  ADS  Google Scholar 

  4. L. D. Bjorken:Phys. Rev. Lett.,4, 473 (1961).

    Article  ADS  Google Scholar 

  5. R. Blankenbecler:Phys. Rev.,122, 983 (1961).

    Article  ADS  MathSciNet  Google Scholar 

  6. C. Schmid:Phys. Rev. Lett.,20, 628 (1968).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. K. J. Le Couteur:Proc. Roy. Soc., A256, 115 (1960);R. C. Newton:Journ. Math. Phys.,2, 188 (1961).

    Article  ADS  Google Scholar 

  9. M. Benayoun andPh. Leruste:Nuovo Cimento,65 A, 99 (1970).

    Article  ADS  Google Scholar 

  10. M. Kato:Ann. of Phys.,31, 130 (1965).

    Article  ADS  Google Scholar 

  11. D. Atkinson:Journ. Math. Phys.,8, 2281 (1967).

    Article  ADS  Google Scholar 

  12. For a bootstrap scheme resulting from imposing unitarity on the Regge representation see:S. Mandelstam:Phys. Rev.,166, 1539 (1968).

    Article  ADS  Google Scholar 

  13. J. S. Ball:Phys. Rev.,137, B 1573 (1965).

    Article  ADS  MathSciNet  Google Scholar 

  14. H. Pagels:Phys. Rev.,140, B 1599 (1965).

    Article  ADS  Google Scholar 

  15. H. G. Rosdolsky: Ph. D. Thesis. University of Michigan, August 1968 (unpublished).

  16. J. S. Ball andM. Parkinson:Phys. Rev.,162, 1509 (1967).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Science, University of Oregon, Eugene, Oreg.

    H. G. Rosdolsky

Authors
  1. H. G. Rosdolsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

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

Traduzione a cura della Redazione.

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rosdolsky, H.G. Bound-state conditions from theND −1 equations. Nuovo Cimento A (1965-1970) 65, 491–510 (1970). https://doi.org/10.1007/BF02824913

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02824913

Keywords

Search

Navigation