Deformations of the standard model: SUq(3) flavor symmetry

24th International Conference on Integrable Systems and Quantum symmetries

Gresnigt, Niels G.^1

Department of Mathematical Sciences, Xi'An Jiaotong-Liverpool University, 111 Ren'ai Road, Suzhou SIP, Jiangsu

215123, China^1

关键词: Deformation parameter;    Explicit formula;    Flavor symmetry;    Quantum groups;    The standard model;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012017/pdf
DOI  :  10.1088/1742-6596/804/1/012017

来源: IOP

【 摘 要 】

The quantum group SUq(3) = Uq(su(3)) is taken as a baryon flavor symmetry and exceptionally accurate octet and decuplet baryons mass relations are obtained by accounting for the electromagnetic contribution to baryon masses (to zeroth order). The resulting charge specific q-deformed octet and decuplet baryon mass sum formulas are accurate to 0.02% and 0.08% respectively; a factor of 20 reduction in error compared to the standard Gell-Mann-Okubo mass formulas. An explicit formula for the Cabibbo angle, taken to be , in terms of the deformation parameter q and spin parity JPof the baryons is obtained.