The quark mass and quark mixing matrices with non-hermitian basis under SN symmetry are considered and compared to those with hermitian basis.
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Yu, H. L. (1993). Heavy Quark and Chiral Symmetry in Heavy Baryons. Chinese Journal of Physics, 31(1), 167-185. https://www.airitilibrary.com/Article/Detail?DocID=05779073-199302-201212280004-201212280004-167-185
Tsai, C. T. C., & Lee, T. Y. (1976). Particles as Metastable States of a Quark-Antiquark System. Chinese Journal of Physics, 14(1), 50-52. https://www.airitilibrary.com/Article/Detail?DocID=05779073-197604-201305020004-201305020004-50-52