Anomaly, Charge Quantization and Family

We first review the three known chiral anomalies in four dimensions and then use the anomaly free conditions to study the uniqueness of quark and lepton representations and charge quantizations in the standard model. We also extend our results to theory with an arbitrary number of color. Finally, we discuss the family problem.Comment: 7 pages, LaTex file, Proceedings of the International Workshop on Nonperturbative Methods and Lattice QCD, Guangzhou, Chin

Constraints on the Timeon Model

The timeon model recently proposed by Friedberg and Lee has a potential problem of flavor changing neutral currents (FCNCs) if the mass of the timeon is small. In order to avoid, we introduce a small dimensionless parameter to suppress FCNCs. Even in this case, we find that the timeon mass must be larger than 151 GeV to satisfy all the constraints from processes involving FCNCs in the quark sectors. We also extend the timeon model to the lepton sector and examine the leptonic processes.Comment: 10 pages, 1 figure, published version in PR

Study of Bˉ→Λpˉ ρ(ϕ)\bar B\to \Lambda\bar p\,\rho(\phi) and Bˉ→ΛΛˉKˉ∗\bar B\to \Lambda\bar \Lambda \bar K^{*}

We examine the three-body baryonic $\bar B\to {\bf B\bar B'}V$ decays with $V$ vector mesons in the standard model. We can simultaneously explain the recent experimental data on the decays of $B^-\to \Lambda\bar p \,\rho^0$ and $\bar B\to \Lambda\bar \Lambda \bar K^{*}$ based on the QCD counting rules and SU(3) flavor symmetry. We also predict that the decay branching ratios of $\bar B^0\to \Lambda\bar p \,\rho^+$ and $B^-\to \Lambda\bar p \,\phi$ are 3.0 and $1.5\times 10^{-6}$, respectively, which are promising to be observed by BELLE and BABAR at the $B$ factories.Comment: 10 pages, no figur