New relation between mesons and baryons

D. Robson

doi:10.1103/PhysRevD.13.2004

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New relation between mesons and baryons

D. Robson

Department of Physics, The Florida State University, Tallahassee, Florida 32306

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Phys. Rev. D 13, 2004 – Published 1 April, 1976

DOI: https://doi.org/10.1103/PhysRevD.13.2004

Abstract

A new S $U_{12}$ classification scheme for mesons and baryons is used in conjunction with a simple quark model and results in a striking correlation between the masses of the diquark subsystems in baryons and the masses of several known mesons. The new classification provides a simple scheme which involves a basic 36 multiplet for the pseudoscalar and vector mesons and a 112 multiplet for the baryons and antibaryons. The 36 multiplet of S $U_{12}$ does not treat the $η^{'}$ as a singlet as in the conventional S $U_{6}$ scheme. The new scheme also has the advantages of providing a simple algebraic form of Zweig's rule for the decay of strange-quark-antiquark pairs. Absolute values of the magnetic moments of baryons are accurately reproduced and are found to be consistent with a model in which the effective quark masses are 338 MeV (nonstrange) and 465 MeV (strange).

References (14)

The Quark Model by J. J. J. Kokkedee (Benjamin, New York, 1969)
Omitted endnote
G. C. Wick, A. S. Wightman, and E. P. Wigner, Phys. Rev. 88, 101 (1952)
F. Gürsey and L. A. Radicati, Phys. Rev. Lett. 13, 173 (1964)
G. Zweig (unpublished)
R. Delbourgo, A. Salam, and J. Strathdee, Phys. Rev. 138, B420 (1965) M. A. B. Bég and A. Pais, Phys. Rev. Lett. 14, 267 (1965)
Lie Groups for Pedestrians, by H. J. Lipkin (North-Holland, Amsterdam, 1966)
P. Federman, H. R. Rubinstein, and I. Talmi, Phys. Lett. 22, 208 (1966)
M. Gell-Mann, Phys. Rev. 125, 1067 (1962) S. Okubo, Prog. Theor. Phys. 27, 949 (1962)
G. Morpurgo, Physics (N.Y.) 2, 95 (1965)
[7]
W. Thirring, in Quantum Electrodynamics, proceedings of the IV Schladming conference on Nuclear Physics, edited by P. Urban (Springer, Berlin, 1965) [Acta Phys. Austriaca Suppl. 2, 205 (1965)]
I. S. Shapiro, Usp. Fiz. Nauk 109, 431 (1973) [Sov. Phys.—Usp. 16, 173 (1973)]
D. Robson, in Proceedings of the Fourth International Conference on $N \bar{N}$ Interactions, Syracuse, 1975, edited by T. Kalogeropoulos and K. C. Wali [Syracuse University report, 1975 (unpublished)], Vol. 2, p. VIII-137

[c1] The Quark Model by J. J. J. Kokkedee (Benjamin, New York, 1969)

[c2] Omitted endnote

[c3] G. C. Wick, A. S. Wightman, and E. P. Wigner, Phys. Rev. 88, 101 (1952)

[c4] F. Gürsey and L. A. Radicati, Phys. Rev. Lett. 13, 173 (1964)

[c5] G. Zweig (unpublished)

[c6] R. Delbourgo, A. Salam, and J. Strathdee, Phys. Rev. 138, B420 (1965) M. A. B. Bég and A. Pais, Phys. Rev. Lett. 14, 267 (1965)

[c7] Lie Groups for Pedestrians, by H. J. Lipkin (North-Holland, Amsterdam, 1966)

[c8] P. Federman, H. R. Rubinstein, and I. Talmi, Phys. Lett. 22, 208 (1966)

[c9] M. Gell-Mann, Phys. Rev. 125, 1067 (1962) S. Okubo, Prog. Theor. Phys. 27, 949 (1962)

[c10] G. Morpurgo, Physics (N.Y.) 2, 95 (1965)

[c11] [7]

[c12] W. Thirring, in Quantum Electrodynamics, proceedings of the IV Schladming conference on Nuclear Physics, edited by P. Urban (Springer, Berlin, 1965) [Acta Phys. Austriaca Suppl. 2, 205 (1965)]

[c13] I. S. Shapiro, Usp. Fiz. Nauk 109, 431 (1973) [Sov. Phys.—Usp. 16, 173 (1973)]

[c14] D. Robson, in Proceedings of the Fourth International Conference on $N \bar{N}$ Interactions, Syracuse, 1975, edited by T. Kalogeropoulos and K. C. Wali [Syracuse University report, 1975 (unpublished)], Vol. 2, p. VIII-137

Physical Review D

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New relation between mesons and baryons

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