Skip to main content
SpringerLink
Log in

Models of particle states

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Two different types of particle state models are discussed. In the first type, particles are considered to be dynamically bound systems of a small set of physical constituents. In the second type, particle states are constructed from tensor products of “symmetry constituents,” i.e., states that are the basis elements of finite irreducible representations of an internal algebra. These states need not represent physical particles. We present three models of the first type. For the second type, we discuss in detail the main thrust of this paper, a new version of the quark-lepton model based on the algebrasu(4)flaourXsu(6)flavour. The quark color-triplet and a lepton color-singlet are united by a single irreducible representation of su(4)colour. Thesu(6)colour algebra is an extension of the originalsu(3)flavor. All observed ground-state hadron multiplets are in full accord with the predictions of this model. The numbers of hadron ground states it predicts are 36 spin-0 mesons, 36 spin-1 mesons, 70 spin-1/2 baryons, and 56 spin-3/2 baryons.

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

  • Barut, A. O. (1972). InProceedings XVth International Conference on High Energy Physics, Kiev, p. 454.

  • Barut, A. O. (1980a). InGroups, Systems and Many-Body Physics, P. Karmeret al., eds., Vieweg, p. 285.

  • Barut, A. O. (1980b).Surveys in High Energy Physics,1(2), 113.

    Google Scholar 

  • Barut, A. O. (1983). InQuantum Theory and Structure of Space-Time, Vol. 5, L. Castell, ed.

  • Basri, S. A., and Barut, A. O. (1983).International Journal of Theoretical Physics,22(8), 691.

    Google Scholar 

  • Fritzsch, H. (1993). CERN preprint TH-7079.

  • Gell-Mann, M., and Ne'eman, Y. (1964).The Eight-Fold Way, Benjamin, New York.

    Google Scholar 

  • Georgi, H., and Glashow, S. L. (1974).Physical Review Letters,32, 438.

    Google Scholar 

  • Glashow, S. L. (1961).Nuclear Physics,22, 579.

    Google Scholar 

  • Gourdin, M. (1967).Unitary Symmetries, North-Holland, Amsterdam, pp. 8–9, 144–145.

    Google Scholar 

  • Halzen, F., and Martin, A. D. (1984).Quarks and Leptons, Wiley, New York, Section 2.11.

    Google Scholar 

  • Keaton, G. L. (1994). University of California at Berkeley preprint LBL-35103.

  • Raczka, R. (1993). SISSA preprint SISNS-2 and references therein.

  • Review of Particle Properties (1992).Physical Review D,45(11).

  • Salam, A. (1968).Elementary Particle Theory, N. Svartholm, ed., p. 367.

  • Weinberg, S. (1967).Physical Review Letters,19, 1264.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Colorado State University, 80523, Fort Collins, Colorado

    Saul A. Basri

  2. 500 Manhattan Dr., B4, 80303, Boulder, Colorado

    Saul A. Basri

  3. Department of Physics, University of Colorado, 80309, Boulder, Colorado

    Asim O. Barut

Authors
  1. Saul A. Basri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Asim O. Barut
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Professor Barut passed away suddenly on December 5, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Basri, S.A., Barut, A.O. Models of particle states. Int J Theor Phys 34, 493–521 (1995). https://doi.org/10.1007/BF00674949

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00674949

Keywords

Search

Navigation