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SU 3 meson mass formulae in a relativistic scalar quark model

Массовые формуляSU 3-мезонов в релятивистской скалярной кварковой модели

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Il Nuovo Cimento A (1965-1970)

Summary

Quadratic meson mass formulae are derived in the framework of a relativistic scalar quark model. For all excitations, the same mass difference between the isodoublet and isotriplet states and an ideal mixing of the isosinglets is predicted.

Riassunto

Si deducono formule di massa quadratiche per i mesoni nel quadro di un modello a quark scalare relativistico. Per tutte le eccitazioni si prevede la stessa differenza di massa fra stati di isodoppietto e stati di isotripletto e una miscela ideale degli isosingoletti.

Резюме

В рамках релятивистской скалярной кварковой модели выводятся массовые формулы для квадратичных мезонов. Для всех воздуждений предсказываются одинаковая разность масс между изодулетными и изотриплетными состояниями и идеальное смешивание изосинглетов.

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References

  1. M. Gell-Mann:Phys. Lett.,8, 214 (1964);G. Zweig: CERN preprints TH 401, 412 (1964) (unpublished);J. J. J. Kokkedee:The Quark Model (New York, 1969).

    Article  ADS  Google Scholar 

  2. G. Morpurgo:Lectures on the quark model, inTheory and Phenomenology in Particle Physics, 1968 International School of Physics «E. Majorana», Erice, edited byA. Zichichi (New York and London, 1969), p. 86.

  3. T. Gudehus: DESY-Bericht 68/1 (1968) (unpublished);C. H. Llewellyn Smith:Ann. of Phys.,53, 521 (1969).

  4. F. Gürsey, T. D. Lee andM. Nauenberg:Phys. Rev.,135, B 467 (1964);R. H. Dalitz:Quark models for the elementary particles, inPhysique des Hautes Energies, Les Houches Lectures, 1965, edited byC. de Witt andM. Jacob (New York, London Paris, 1966), p. 251.

    Article  MathSciNet  ADS  Google Scholar 

  5. H. A. Bethe andE. E. Salpeter:Phys. Rev.,84, 1232 (1951). An extensive review of the theory of the BS equation with a rather complete list of references is given byNakanishi: N. Nakanishi:Progr. Theor. Phys., Suppl.,43, 1 (1969).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. G. C. Wick:Phys. Rev.,96, 1124 (1954).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. C. Schwartz:Phys. Rev.,137, 717 (1965);C. Schwartz andC. Zemach:Phys. Rev.,141, 1454 (1966).

    Article  ADS  Google Scholar 

  8. M. Böhm, H. Joos andM. Krammer:Nuovo Cimento,7 A, 21 (1972).

    Article  ADS  Google Scholar 

  9. R. H. Dalitz:Symmetries and the strong interactions, inProceedings of the XIII International Conference on High-Energy Physics (Berkeley, 1966), p. 215;R. H. Dalitz:Mesonic resonance states, inMeson Spectroscopy, edited byC. Baltay andA. H. Rosenfeld (New York, 1968), p. 497.

  10. M. K. Sundaresan andP. J. S. Watson:Ann. of Phys.,59, 375 (1970).

    Article  MathSciNet  ADS  Google Scholar 

  11. M. Gourdin:Nuovo Cimento,7, 338 (1958);M. Gourdin andJ. Tran Thanh Van:Nuovo Cimento,14, 1051 (1959).

    Article  MATH  Google Scholar 

  12. A. Erdelyi, Editor:Higher Transcendental Functions, Vol.1, 2 (New York, 1953).

  13. M. Böhm, H. Joos andM. Krammer: DESY-preprint 72/11 (1972).

  14. Particle Data Group:Phys. Lett.,39 B, 1 (1972).

    Google Scholar 

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Becher, P., Böhm, M. SU 3 meson mass formulae in a relativistic scalar quark model. Nuov Cim A 13, 708–714 (1973). https://doi.org/10.1007/BF02784098

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  • DOI: https://doi.org/10.1007/BF02784098

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