Skip to main content
SpringerLink
Log in

Radial effects in the symmetric quark model

Радиальные эффекты в смметричной кварковой модели

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

Summary

Effects of the radial wave function are studied for the nonstrange baryons in the symmetric quark model. Rotational energy levels are calculated and are found to be in agreement with the energy levels in the observed baryonic mass spectra. Relativistic perturbative effects which vanish in the large-quark-mass limit are also calculated. The lower bound on the quark mass is found to be approximately 1.5 GeV.

Riassunto

Si studiano gli effetti della funzione d'onda radiale per barioni non strani nel modello. a quark simmetrico. Si calcolano i livelli d'energia rotazionali e si trova che essi concordano con i livelli d'energia negli spettri delle masse barioniche osservati. Si calcolano anche effetti perturbative relativistici che tendono a zero nel limite della grande massa dei quark. Si trova che il limite inferiore della massa dei quark è circa 1.5 GeV.

Резюме

В симметричной кварковой модели исследуются эффекты радиальной волновой функции для нестранных барионов. Вычисляются ротационные уровни энергии. Вычисленные уровни энергии хогошо согласуются с уровнями энергии в наблюденных спектрах барионных масс. Также оцениваются релятивистские пертурбационные эффекты, которые исчезают в пределе большой массы кварка. Найдена нижняя граница для мварка, которая приблизительно составляет 1.5 ГэВ.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. M. Gell-Mann:Phys. Lett.,8, 214 (1964);G. Zweig: CERN Report No. TH 401 and 412, unpublished (1964).

    Article  ADS  Google Scholar 

  2. O. W. Greenberg:Phys. Rev. Lett.,13, 598 (1964). For review articles, seeR. H. Dalitz: inProceedings of the International Conference on Symmetries and Quark Models, Wayne State University, Detroit, Mich., June 1969;O. W. Greenberg: inProceedings of the Lund International Conference on Elementary Particles, Lund, June 1969;S. Meshkov:Review of hadron spectroscopy, invited talk presented at theInternational Conference on Duality and Symmetry in Hadron Physics, Tel-Aviv, April 1971.

    Article  ADS  Google Scholar 

  3. G. F. Chew:Phys. Rev. Lett.,19, 1492 (1967);Y. S. Kim andK. V. Vasavada:Phys. Rev. D,5, 1002 (1972).

    Article  ADS  Google Scholar 

  4. P. A. M. Dirac:Rev. Mod. Phys.,21, 392 (1949).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. L. Susskind:Phys. Rev. Lett.,23, 545 (1969).

    Article  ADS  Google Scholar 

  6. C. H. L. Smith:Ann. of Phys.,53, 521 (1969);M. K. Sundarassen andP. J. S. Watson:Ann. of Phys.,59, 375 (1970);M. Böhm, H. Joos andM. Krammer:Nuovo Cimento,7 A, 21 (1972).

    Article  ADS  Google Scholar 

  7. Y. S. Kim andR. Zaoui:Phys. Rev. D,4, 1964 (1971);T. De andY. S. Kim: University of Maryland Technical Report No. 72-111 (1972).

    ADS  Google Scholar 

  8. Y. S. Kim andM. E. Noz:Nuovo Cimento,11 A, 513 (1972).

    Article  ADS  Google Scholar 

  9. T. Abdullah andF. E. Close:Phys. Rev. D,5, 2332 (1972); and the references contained therein.

    Article  ADS  Google Scholar 

  10. R. P. Feynman, M. Kislinger andF. Ravndal:Phys. Rev. D,3, 2706 (1971).

    Article  ADS  Google Scholar 

  11. G. N. Fleming:Phys. Rev.,137, B 188 (1965); see alsoH. C. Corben:Classical and Quantum Theories of Spinning Particles (San Francisco, 1968).

    Article  MathSciNet  ADS  Google Scholar 

  12. T. D. Newton andE. P. Wigner:Rev. Mod. Phys.,21, 400 (1949).

    Article  ADS  MATH  Google Scholar 

  13. A. Neveu andJ. H. Schwarz:Nucl. Phys.,31 B, 86 (1971).

    Article  ADS  Google Scholar 

  14. N. W. Bazley andD. W. Fox:Phys. Rev.,124, 483 (1971);S. I. Chan, D. Stelman andL. E. Thompson:Journ. Chem. Phys.,41, 2828 (1964). We thank Dr.A. Dragt for bringing these references to our attention.

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Author notes

  1. M. E. Noz

    Present address: Department of Physics, Indiana University of Pennsylvania, 15701, Indiana, Pa.

Authors and Affiliations

  1. Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Md.

    T. De, Y. S. Kim & M. E. Noz

Authors
  1. T. De
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Y. S. Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. E. Noz
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by the National Science Foundation under Grant No. NSF GP 8748.

From a dissertation to be submitted to the Graduate School, University of Maryland, byT. De in partial fulfillment of the requirement for the Ph. D. degree in Physics.

Traduzione a cura della Redazione.

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

De, T., Kim, Y.S. & Noz, M.E. Radial effects in the symmetric quark model. Nuov Cim A 13, 1089–1101 (1973). https://doi.org/10.1007/BF02804168

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02804168

Search

Navigation