Skip to main content
SpringerLink
Log in

Unitarity bounds for 4-fermion contact interactions

  • Part II. Invited Papers Dedicated To Asim Orhan Barut
  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

In this paper we consider the effect of unitarity bounds sb⩾s≡(E1+E2) 2cms for the recently proposed types of nonderivative 4-fermion contact interactions. To this purpose we decompose the helicity amplitudes at c.m.s. into partial waves. The bounds are defined to hold for all reaction channels due to the same type of contact interaction. We find sb=τ4π/κ. Here κ is the coupling constant. The factor τ depends on the type of coupling and on the different cases to identify the fermions. It ranges from 1/3 to 4.

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. K. Ringhofer and H. Salecker,Found. Phys. 10, 185 (1980); presented in part at the 1975 Stanford symposium on lepton and photon interactions at high energies, Stanford University, Stanford, California. See also the lecture of R. Hofstadter.

    Google Scholar 

  2. H. Salecker,Z. Phys. 160, 385 (1960); A. O. Barut,The Theory of the Scattering Matrix (Macmillan, New York, 1967).

    Google Scholar 

  3. T. Anders and W. Jachmann,J. Math. Phys. 24, 2847 (1983);28, 221 (1987).

    Google Scholar 

  4. S. A. Baran and A. O. Barut,Fortschr. Phys. 20, 497 (1972); A. O. Barut and T. Nagylaki,Lett. Nuovo Cimento 3, 161 (1970).

    Google Scholar 

  5. E. J. Eichten, K. D. Lane, and M. E. Peskin,Phys. Rev. Lett. 50, 811 (1983).

    Google Scholar 

  6. R. E. Marshak, Riazuddin, and C. P. Ryan,Theory of Weak Interactions in Particle Physics (Wiley-Interscience, New York, 1969).

    Google Scholar 

  7. A. D. Martin and T. D. Spearman,Elementary Particle Theory (North-Holland, Amsterdam, 1970).

    Google Scholar 

  8. M. Jacob and G. C. Wick,Ann. Phys. (N.Y.)7, 404 (1959).

    Google Scholar 

  9. Particle Data Group, M. Aguilar-Benitezet al., “Review of particle properties,”Phys. Lett. B 204, 1 (1988).

    Google Scholar 

  10. A. Lindner,Drehimpulse in der Quantenmechanik (Teubner, Stuttgart, 1984).

    Google Scholar 

  11. AMY Collab., S. Kimet al., Phys. Lett. B 223, 476 (1989).

    Google Scholar 

  12. D. Treilleet al., inProceedings, ECFA Workshop on LEP 200 (Aachen, 1986), A. Böhm and W. Hoogland eds., CERN report 87-08, Vol. 2, p. 414. F. Schrempp, DESY 89-047.

Download references

Author information

Authors and Affiliations

  1. Sektion Physik der Universität München, Theresienstrasse 37, D-8000, Munich 2, Germany

    T. B. Anders, R. von Mellenthin, B. Pfeil & H. Salecker

Authors
  1. T. B. Anders
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. von Mellenthin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. Pfeil
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. H. Salecker
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anders, T.B., von Mellenthin, R., Pfeil, B. et al. Unitarity bounds for 4-fermion contact interactions. Found Phys 23, 399–410 (1993). https://doi.org/10.1007/BF01883720

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01883720

Keywords

Search

Navigation