ABSTRACT
Some q deformed Clebsch Gordan coefficients corresponding to the https://www.w3.org/1998/Math/MathML"> { 3 } × { 21 } https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq2761.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> reduction of the https://www.w3.org/1998/Math/MathML"> S U q ( 3 ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq2762.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> quantum algebra are computed. From these results and using the quantum Clebsch Gordan coefficients for the https://www.w3.org/1998/Math/MathML"> { 21 } × { 21 } https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq2763.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> reduction, the mass expressions of the octet and decuplet baryons are determined by following the same procedure as in the https://www.w3.org/1998/Math/MathML"> SU ( 3 ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq2764.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> formalism. Finally, by using the experimental particle masses of the octet and decuplet baryons, the q parameter is adjusted for the predicted mass expressions and physically interpreted.
