Abstract

The q-deformed Clebsch-Gordan coefficients corresponding to the {3}x{21} reduction of the SUq(3) quantum algebra are computed. From these results and using the quantum Clebsch-Gordan coefficients for the {21}x{21} reduction found by Z. Q. Ma, the q-deformed Gell-Mann-Okubo mass relations for octet and decuplet baryons are determined by generalizing the procedure used for the SU(3) algebra. We also determine the Coleman-Glashow relations for octet and decuplet baryons in the SUq(3) algebra. Finally, by using the experimental particle masses of the octet and decuplet baryons, two values of the q-parameter are found and adjusted for the predicted expressions of the masses (one for the Gell-Mann-Okubo mass relations and the other for the Coleman-Glashow relations) and a possible physical interpretation is given. (c) 2006 American Institute of Physics.