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.
Similar content being viewed by others
References
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 Lett.,8, 214 (1964);G. Zweig: CERN preprints TH 401, 412 (1964) (unpublished);J. J. J. Kokkedee:The Quark Model (New York, 1969).
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.
T. Gudehus: DESY-Bericht 68/1 (1968) (unpublished);C. H. Llewellyn Smith:Ann. of Phys.,53, 521 (1969).
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.
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).
G. C. Wick:Phys. Rev.,96, 1124 (1954).
C. Schwartz:Phys. Rev.,137, 717 (1965);C. Schwartz andC. Zemach:Phys. Rev.,141, 1454 (1966).
M. Böhm, H. Joos andM. Krammer:Nuovo Cimento,7 A, 21 (1972).
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.
M. K. Sundaresan andP. J. S. Watson:Ann. of Phys.,59, 375 (1970).
M. Gourdin:Nuovo Cimento,7, 338 (1958);M. Gourdin andJ. Tran Thanh Van:Nuovo Cimento,14, 1051 (1959).
A. Erdelyi, Editor:Higher Transcendental Functions, Vol.1, 2 (New York, 1953).
M. Böhm, H. Joos andM. Krammer: DESY-preprint 72/11 (1972).
Particle Data Group:Phys. Lett.,39 B, 1 (1972).
Author information
Authors and Affiliations
Additional information
To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.
Traduzione a cura della Redazione.
Переведено редакцией.
Rights and permissions
About this article
Cite this article
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
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02784098