Quark Masses and Mixings with Hierarchical Friedberg-Lee Symmetry Takeshi Araki ∗ and C. Q. Geng † Department of Physics, National Tsing Hua University, Hsinchu, Taiwan 300 We consider the Friedberg-Lee symmetry for the quark sector and show that the symmetry closely relates to both quark masses and mixing angles. We also extend our scheme to the fourth generation quark model and find the relation | V$_{tb}$ ′ | ≃ | V$_{t}$ ′ $_{b}$|  ≃ m$_{b}$/m$_{b}$ ′ < λ 2 with λ ≃ 0 . 22 for m$_{b}$ = 4 . 2 GeV and m$_{b}$ ′ > 199 GeV. PACS numbers: 11.30.Hv, 12.15.Hh, 14.65.Jk Abstract arXiv:1001.3759v2 [hep-ph] 2 May 2010 ∗ araki@phys.nthu.edu.tw † geng@phys.nthu.edu.tw 1