Isospin breaking in octet baryon mass splittings
High Energy Physics - Lattice
2013-05-30 v2 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1206.3156,
title = {Isospin breaking in octet baryon mass splittings},
author = {R. Horsley and J. Najjar and Y. Nakamura and D. Pleiter and P. E. L. Rakow and G. Schierholz and J. M. Zanotti},
journal= {arXiv preprint arXiv:1206.3156},
year = {2013}
}
Comments
31 pages, 8 figures, published version