Skip to main content
SpringerLink
Log in

Useful radial equations for the dirac two-body problem

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

Summary

New second-order radial equations are derived from the two-body Dirac equation (called also the Breit equation). They are convenient for numerical calculations and may be also useful for a general discussion of the order of energy levels in quarkonia.

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. Cf.e.g.,K. Królikowski:Acta Phys. Pol. B,20, 119 (1989).

    Google Scholar 

  2. For a monograph cf.A. Rubinowicz:Sommerfeldsche Polynommethode (Springer, Berlin-Heidelberg-New York, and Polnischer Verlag der Wissenschaften, Warszawa, 1972).

    Book  Google Scholar 

  3. B. Baumgartner, H. Grosse andA. Martin:Phys. Lett. B,146, 363 (1984);A. Martin andJ. Stubbe: CERN preprint TH. 5843/90 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  4. H. Grosse, A. Martin andJ. Stubbe: CERN preprint TH. 5914/90 (1990).

  5. Cf.e.g.,H. A. Bethe andE. E. Salpeter: inEncyclopedia of Physics, Vol.35 (Springer, Berlin-Göttingen-Heidelberg, 1957).

    Google Scholar 

  6. E. E. Salpeter:Phys. Rev.,87, 328 (1952); cf. alsoW. Królikowski andJ. Rzewuski:Nuovo Cimento,4, 974 (1956);G. Feldman, F. Fulton andJ. Townsend:Phys. Rev. A,8, 1149 (1973);W. Królikowski:Acta Phys. Austr.,51, 127 (1979);Phys. Rev. D,29, 2414 (1984).

    Article  ADS  Google Scholar 

  7. W. Królikowski:Acta Phys. Pol. B,15, 131 (1984) and references therein.

    Google Scholar 

  8. For other methods of eliminating the angular variables from the Breit relativistic equation cf.W. Królikowski andJ. Rzewuski:Nuovo Cimento A,4, 974 (1956);H. Joos, P. Leal Ferreira andA. H. Zimmerman:Nuovo Cimento,4, 57 (1957);P. Leal Ferreira andA. H. Zimmerman:Ann. Acad. Bras. Cienc. (Brasil),30, 281 (1958).

    Google Scholar 

  9. Cf.,e.g.,C. Itzykson andJ.-B. Zuber:Quantum Field Theory (McGraw-Hill, New York, Toronto, 1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Theoretical Physics, Warsaw University, Warsaw, Poland

    W. Królikowski

Authors
  1. W. Królikowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author of this paper has agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Królikowski, W. Useful radial equations for the dirac two-body problem. Nuov Cim A 105, 655–662 (1992). https://doi.org/10.1007/BF02730771

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02730771

PACS

PACS

PACS

Search

Navigation