Skip to main content
SpringerLink
Log in

Mass formula for two-dimensional flavor non-singlet mesons

  • theoretical physics
  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

We analytically and numerically investigate the 't Hooft equations, the lowest order mesonic light-front Tamm-Dancoff equations for SU(NC) and U(NC) gauge theories, generalized to flavor non-singlet mesons. We find that the wave function can be well approximated by new basis functions and obtain an analytic and an empirical formula for the mass of the lightest bound state. Its value is consistent with the precedent results.

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. R.J. Perry, A. Harindranath, K.G. Wilson, Phys. Rev. Lett. 65, 2959 (1990)

    Article  Google Scholar 

  2. S.J. Brodsky, H-C. Pauli, S. Pinsky, Phys. Rep. 301, 299 (1998)

    Article  MathSciNet  Google Scholar 

  3. M. Burkardt, Adv. Nucl. Phys. 23, 1 (1996)

    Google Scholar 

  4. I. Tamm, J. Phys. (Moskow) 9, 449 (1945)

    Google Scholar 

  5. Y. Ma, J.R. Hiller, J. Comp. Phys. 82, 229 (1986)

    MATH  Google Scholar 

  6. Y. Mo, R.J. Perry, J. Comp. Phys. 108, 159 (1993)

    Article  MATH  Google Scholar 

  7. K. Harada, T. Sugihara, M. Taniguchi, M. Yahiro, Phys. Rev. D 49, 4226 (1994)

    Article  Google Scholar 

  8. T. Sugihara, M. Matsuzaki, M. Yahiro, Phys. Rev. D 50, 5274 (1994)

    Article  Google Scholar 

  9. O. Abe, G.J. Aubrecht II, K. Tanaka, Phys. Rev. D 56, 2242 (1997)

    Article  Google Scholar 

  10. O. Abe, Phys. Rev. D 60, 105040 (1999)

    Article  Google Scholar 

  11. S. Coleman, R. Jackiw, L. Susskind, Ann. Phys. (N.Y.) 93, 267 (1975)

    Google Scholar 

  12. J. Schwinger, Phys. Rev. 128, 2425 (1962)

    Article  MATH  Google Scholar 

  13. H. Bergknoff, Nucl. Phys. B 122, 215 (1977)

    Article  Google Scholar 

  14. G. 't Hooft, Nucl. Phys. B 75, 461 (1974)

    Article  Google Scholar 

  15. T. Banks, J. Kogut, L. Susskind, Phys. Rev. D 13, 1043 (1976)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratory of Physics, Asahikawa Campus, Hokkaido University of Education, 9 Hokumoncho, 070-8621, Asahikawa, Japan

    O. Abe & N. Watanabe

Authors
  1. O. Abe
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. Watanabe
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to O. Abe.

Additional information

Received: 28 April 2003, Published online: 12 September 2003

O. Abe: Corresponding author.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abe, O., Watanabe, N. Mass formula for two-dimensional flavor non-singlet mesons. Eur. Phys. J. C 30, 513–516 (2003). https://doi.org/10.1140/epjc/s2003-01307-1

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2003-01307-1

Keywords

Search

Navigation