# 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 

## Abstract 

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 

