Abstract
Using the linear mass spectrum of anSU (4) meson hexadecuplet, we derive the Gell-Mann-Okubo mass formula for the charmed mesons, in good agreement with experiment. The possible generalization of this method to a higher symmetry group is briefly discussed.
Similar content being viewed by others
References
E. V. Shuryak,The QCD Vacuum, Hadrons and the Superdense Matter (World Scientific, Singapore, 1988).
C. R. Alcock, G. M. Fuller, and G. J. Mathews,Astrophys. J. 320 (1987) 439. H. Bebie, P. Gerber, J. L. Goity, and H. Leutwyler,Nucl. Phys. B 378 (1992) 95.
S. Z. Belenky and L. D. Landau,Sov. Phys. Uspekhi 56 (1955) 309;Nuovo Cimento Suppl. 3 (1956) 15.
R. Hagedorn,Nuovo Cimento 35 (1965) 216;Nuovo Cimento Suppl. 6 (1968) 169, 311.
S. Frautschi,Phys. Rev. D 3 (1971) 2821.
S. Fubini and G. Veneziano,Nuovo Cimento A 64 (1969) 811.
G. N. Fowler and R. M. Weiner,Phys. Lett. B 89 (1980) 394.
L. Burakovsky, L. P. Horwitz, and W. C. Schieve, “Hadronic resonance spectrum: power vs. exponential law. Experimental evidence,” to be published.
L. P. Horwitz and C. Piron,Helv. Phys. Acta 46 (1973) 316. L. P. Horwitz, W. C. Schieve, and C. Piron,Ann. Phys. (N. Y.) 137 (1981) 306. L. P. Horwitz, S. Shashoua, and W. C. Schieve,Physica A 161 (1989) 300. L. Burakovsky, “Manifestly Covariant Relativistic Statistical Mechancis as a Framework for Description of Realistic Physical Systems,” Ph.D. thesis (Tel-Aviv University, 1995), unpublished. L. Burakovsky, L. P. Horwitz, and W. C. Schieve, “Mass-proper time uncertainty relation in a manifestly covariant relativistic statistical mechanics, to be published.
L. Burakovsky, L. P. Horwitz, and W. C. Schieve,Phys. Rev. D. 54 (1996) 4029.
H. A. Haber and H. E. Weldon,Phys. Rev. D 25 (1982) 502.
S. Okubo,Prog. Theor. Phys. 27 (1962) 949,28 (1962) 24. M. Gell-Mann and Y. Ne’eman,The Eightfold Way (Benjamin, New York, 1964).
O. V. Zhirov and E. V. Shuryak,Sov. J. Nucl. Phys. 21 (1975) 443.
L. Burakovsky and L. P. Horwitz,Nucl. Phys. A 609 (1996) 585.
D. H. Perkins,Introduction to High Energy Physics, 3rd edn. (Addison-Wesley, Reading, 1987), Sec. 5.6.
M. Gell-Mann, R. J. Oakes, and B. Renner,Phys. Rev. 175 (1968) 2195.
L. A. P. Balázs,Phys. Lett. B 120 (1983) 426.
L. Burakovsky and L. P. Horwitz,Found. Phys. Lett. 9 (1996) 561.
L. A. P. Balázs and B. Nicolescu,Phys. Rev. D 28 (1983) 2818.
Particle Data Group,Phys. Rev. D 50 (1994) 1600.
Particle Data Group,Phys. Rev. D 50 (1994) 1195.
G. Jungman,Phys. Rev. D 46 (1992) 4004;47 (1993) 346.
K. R. Dienes and J.-R. Cudell,Phys. Rev. Lett. 72 (1994) 187.
Author information
Authors and Affiliations
Corresponding authors
Additional information
On sabbatical leave from School of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel. Also at Department of Physics, Bar-Ilan University, Ramat-Gan, Israel.
Rights and permissions
About this article
Cite this article
Burakovsky, L., Horwitz, L.P. Gell-Mann-Okubo mass formula forSU (4) meson hexadecuplet. Found Phys Lett 10, 131–141 (1997). https://doi.org/10.1007/BF02764235
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02764235