; Xing, Zhi-zhong] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [Li, Xin] Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China
We write out the generic Dirac neutrino mass operator which possesses the Friedberg-Lee symmetry and find that its corresponding neutrino mass matrix is asymmetric. Following a simple way to break the Friedberg-Lee symmetry, we calculate the neutrino mass eigenvalues and show that the resultant neutrino mixing pattern is nearly tri-bimaximal. Imposing the Hermitian condition on the neutrino mass matrix, we also show that the simplified ansatz is consistent with current experimental data and favors the normal neutrino mass hierarchy.