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2012

Isospin breaking in octet baryon mass splittings

Horsley, R., Najjar, J., Nakamura, Y. et al.

Understand

Using an SU(3) flavour symmetry breaking expansion in the quark mass, we determine the QCD component of the nucleon, Sigma and Xi mass splittings of the baryon octet due to up-down (and strange) quark mass differences in terms of the kaon mass splitting.

Provided the average quark mass is kept constant, the expansion coefficients in our procedure can be determined from computationally cheaper simulations with mass degenerate sea quarks and partially quenched valence quarks.
Both the linear and quadratic terms in the SU(3) flavour symmetry breaking expansion are considered; it is found that the quadratic terms only change the result by a few percent, indicating that the expansion is highly convergent.

Built on

S. Coleman and S. L. Glashow, Phys. Rev. Lett. 6
1961
Earlier work this paper cites.
M. Gell-Mann, Phys. Rev. 125
1962
Earlier work this paper cites.
S. Okubo, Prog. Theor. Phys. 27
1962
Earlier work this paper cites.
R. Dashen, Phys. Rev. 183
1969
Earlier work this paper cites.
J. Gasser and H. Leutwyler, Phys. Rep. 87
1982
Earlier work this paper cites.
T-P. Cheng and L-F. Li, Gauge Theory of Elementary Particle Physics, Oxford University Press (1984)
1984
Earlier work this paper cites.
A. Duncan, E. Eichten, and H. Thacker, Phys. Rev. Lett. 76
1996
Earlier work this paper cites.
H. Leutwyler, Nucl. Phys. Proc. Suppl. 94
2001
Earlier work this paper cites.
R. G. Edwards and B. Joó, Nucl. Phys. Proc. Suppl. 140
2005
Earlier work this paper cites.