Summary
We calculate the magnetic moments of a baryon octet and predict those of a baryon decuplet, on the basis of the outward effective quark massq B1 =q 1+(B−77[J(J+1)−3/4]−(q 1+q 2+q 3)) in the staticSU(6) quark model. The flavourSU(3)F symmetry-breaking effects remove very well the insufficiency of the staticSU(6) model within the experimental and theoretical errors. It results in the value of −2.07 nuclear magneton (nm) for the Ω− magnetic moment without theSU(3)F symmetry-breaking effects, compared with recent precise experimental values (−2.024±0.056) nm. The result is also compared with those of the static constituent-quark model, together with those of other models.
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References
Particle Data Group (L. Montanet et al.),Phys. Rev. D,50 (1994) 1173. See also the references cited there in.
For recent calculations, see for example,Panda A. R., Roy K. C. andSahoo R. K.,Phys. Rev. D,49 (1994) 4659.
Miyamoto Y.,Prog. Theor. Phys.,35 (1966) 175;Minamikawa T., Miura K., Miyamoto Y., Arafune J. andIwasaki Y.,Suppl. Prog. Theor. Phys.,37–38 (1966) 56.
Franklin J.,Phys. Rev. D,29 (1984) 2648.
Wallace N. B.,et al.,Phys. Rev. Lett.,74 (1995) 3732.
For example,Schlumpf F.,Phys. Rev. D,48 (1993) 4478.
Chao K. T.,Phys. Rev. D,41 (1990) 920.
Sogami I. S. andOh’yamaguchi N.,Phys. Rev. Lett.,54 (1985) 2295. The OS relation described after is empirical and differs from the proposed formula by Chao [7], only on the meaning of the quantities appeared in the relation.
Miura K.,Prog. Theor. Phys.,79 (1988) 280.
See also,Miura K.,Nuovo Cimento A,108 (1995) 1281.
Morpurgo G.,Ann. Phys. (N.Y.),2 (1965) 95;Thirring W.,Acta Phys. Austriaca Suppl.,2 (1965) 205;Franklin J.,Phys. Rev.,172 (1968) 1807.
The analogous proposition has been done, for example, byGupta S. K. andKhadkikar S. B.,Phys. Rev.,36 (1987) 307, within the SCQ model.
Dashen R., Jenkins E. andManohar A. V.,Phys. Rev.,49 (1994) 4713;Luty M. A. andMarch-Russell J.,Phys. Rev.,51 (1995) 2332.
Gell-Mann M. andNe’eman Y.,The Eightfold Way (W. A. Benjamin, Inc., New York-Amsterdam) 1964;Okubo S.,Prog. Theor. Phys.,27 (1962) 949.
De Swart J. J.,Rev. Mod. Phys.,35 (1963) 916.
Cheng T. P. andPagels H.,Phys. Rev.,172 (1968) 1635.
Bohm A. andTeese R. B.,Phys. Rev. D,26 (1982) 1103.
Marshak R., Okubo S. andSudarshan E. C. G.,Phys. Rev. D,106 (1957) 599.
Itoh C., Minamikawa T., Miura K. andWatanabe T.,Prog. Theor. Phys.,61 (1979) 548;Miura K.,Prog. Theor. Phys.,63 (1980) 347.
The Dirac moments of these inward effective quark masses are dressed in gluons, as discussed byItoh C., a preprint submitted to theXIX International Conference on High Energy Physics, 23–31 August 1978, Tokyo.
Gürsey F. andRadicati L. A.,Phys. Rev. Lett.,13 (1964) 173;Pais A.,Phys. Rev. Lett.,13 (1964) 175.
Bosshard A. et al., Phys. Rev. D,44 (1991) 1962.
See also ref. [6] as regards the comparison with other several models.
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Miura, K. Magnetic moments of Ω− and other baryon decuplet. Nuov Cim A 109, 559–567 (1996). https://doi.org/10.1007/BF02731138
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DOI: https://doi.org/10.1007/BF02731138