Skip to main content
Log in

A relativistic coupled-channel wave-equation with\(\mathcal{N}\) and Δ degrees of freedomand Δ degrees of freedom

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

Summary

A previously introduced two-body relativistic wave-equation is generalized to include the Δ degrees of freedom. The negative-energy states are consistently considered. Spurious spin-1/2 fields for the Δ-isobar are discarded by means of a suitable projection procedure. A specific π- and ρ-exchange model is constructed and a nonrelativistic reduction, up to orderc −2, is given for the π-exchange case.

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. H. J. Weber andH. Arenhövel:Phys. Rep.,36, 277 (1978) and the references quoted therein.

    Article  ADS  Google Scholar 

  2. R. Machleidt, K. Holinde andCh. Elster:Phys. Rep.,149, 1 (1987).

    Article  ADS  Google Scholar 

  3. B. ter Haar andR. Malfliet:Phys. Rep.,149, 207 (1987).

    Article  ADS  Google Scholar 

  4. E. E. van Faassen andJ. A. Tjon:Phys. Rev. D,28, 2354 (1983).

    Google Scholar 

  5. E. E. van Faassen andJ. A. Tjon:Phys. Rev. C,30, 285 (1984).

    Article  ADS  Google Scholar 

  6. M. De Sanctis andD. Prosperi:Nuovo Cimento A,105, 781 (1992).

    Article  ADS  Google Scholar 

  7. W. Rarita andJ. Schwinger:Phys. Rev.,60, 61 (1941).

    Article  ADS  MATH  Google Scholar 

  8. R. Roman:Introduction to Quantum Field Theory (John Wiley and Sons, New York, N.Y., 1969), Chapt. 5.2.

    MATH  Google Scholar 

  9. M. De Sanctis andD. Prosperi:Nuovo Cimento A,104, 921 (1991).

    Article  ADS  Google Scholar 

  10. V. B. Mandelzweig andS. J. Wallace:Phys. Lett. B,197, 469 (1987).

    Article  ADS  Google Scholar 

  11. J. Sucher:Phys. Rev. Lett.,55, 1033 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  12. L. D. Landau andE. M. Lifschitz:Meccanica quantistica relativistica, Vol.4 (Ed. Riuniti, Roma, 1979), par. 31.

    Google Scholar 

  13. A. R. Edmonds:Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, N.J., 1957), Chapt. 5.9.

    MATH  Google Scholar 

  14. G. E. Brown andW. Weise:Phys. Rep. C,22, 279 (1975).

    Article  ADS  Google Scholar 

  15. F. Gross, J. W. Van Orden andK. Holinde:Phys. Rev. C,41, 1909 (1990).

    Article  ADS  Google Scholar 

  16. M. De Sanctis, R. Mignani andD. Prosperi:Nuovo Cimento A,102, 1671 (1989).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

De Sanctis, M., Prosperi, D. A relativistic coupled-channel wave-equation with\(\mathcal{N}\) and Δ degrees of freedomand Δ degrees of freedom. Nuov Cim A 105, 1773–1784 (1992). https://doi.org/10.1007/BF02740927

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02740927

PACS

Navigation