CP violation in chargino decays in the MSSM
In the minimal supersymmetric standard model (MSSM) with complex parameters, supersymmetric loop effects can lead to $\mathrm{CP}$ violation. We calculate the rate asymmetries of decays of charginos into the lightest neutralino and a W boson on the basis of the most important loop contributions in the third generation squark sector. It turns out that the $\mathrm{CP}$ violating asymmetries can be a few percent in typical regions of the parameter space of the MSSM. These processes would provide very promising channels for probing $\mathrm{CP}$ violation in the MSSM at future high-energy colliders.

title: An Unification Model of Fermion Flavor and Baryon asymmetry and Dark Matter with The TeV Scale $U(1)_{B-L}$
abstract: This paper has been withdrawn by the author. I suggest a new particle model to solve simultaneously the problems of fermion masses and flavor mixings, and baryon asymmetry and dark matter. The model extends the standard model by adding a local $U(1)_{B-L}$ gauge symmetry at the TeV scale, in addition, the fermion flavor structures are characterized by the original $S_{3}$ and residual $S_{2R}$ flavor family symmetries. The model can excellently fit all the current experimental data by the fewer parameters. The new results and predictions are promising to be test in future experiments.

title: Probing the Stau-Stau-Higgs Couplings in the MSSM at NLC
abstract: In the minimal supersymmetric standard model (MSSM) with CP violating phases, this paper discusses the production of the lightest neutral Higgs boson in association with tau sleptons at future high-energy linear colliders. In parameter space of the constrained MSSM, the production cross section of can be very substantial at high energies. This process would provide a production mechanism for probing couplings of neutral Higgs bosons to tau sleptons as well as some soft supersymmetric breaking parameters at next linear colliders.

title: Magnetic moment of the pentaquark Theta+(1540) with QCD sum rules
abstract: In this paper, we study the magnetic moment of the pentaquark state Θ+(1540) with the QCD sum rules approach in the external electromagnetic field. The numerical results indicate that the magnetic moment of the pentaquark state Θ+(1540) is about .

title: Graded Lie Algebra Generating of Parastatistical Algebraic Structure
abstract: A new kind of graded Lie algebra (we call it $Z_{2,2}$ graded Lie algebra) is introduced as a framework for formulating parasupersymmetric theories. By choosing suitable bose subspace of the $Z_{2,2}$ graded Lie algebra and using relevant generalized Jacobi identities, we generate the whole algebraic structure of parastatistics.

title: Fermion Masses and Flavor Mixings from Family Symmetry SU(3)
abstract: We suggest a new particle model based on the symmetry group $SU(3)_{C}\otimes SU(2)_{L}\otimes SU(2)_{L'}\otimes SU(2)_{R}\otimes U(1)_{B-L}\otimes SU(3)_{F}\otimes U(1)_{N}$. The family symmetry and the high-energy left-handed and right-handed isospin subgroups are respectively broken by some flavon and Higgs fields one after another. At the low-energy scale the super-heavy fermions are all integrated out, the model finally leads to an effective theory with the standard model symmetry group. After the electroweak breaking all the fermion mass matrices are elegantly characterized only by six parameters. The model can perfectly fit and explain all the current experimental data about the fermion masses and flavor mixings, in particular, it finely predicts the first generation quark masses and the values of $\theta^{l}_{13}, \langle m_{\beta\beta}\rangle, J_{CP}^{l}$ in neutrino physics. The results are all promising to be tested in future experiments.

title: Drinfeld twists and algebraic Bethe ansatz of the supersymmetric t-J model
abstract: We construct the Drinfeld twists (factorizing F-matrices) for the supersymmetric t-J model. Working in the basis provided by the F-matrix (i.e. the so-called F-basis), we obtain completely symmetric representations of the monodromy matrix and the pseudo-particle creation operators of the model. These enable us to resolve the hierarchy of the nested Bethe vectors for the gl(2|1) invariant t-J model.

title: Fusion for the Function Difference Representation of Zn Sklyanin Algebra
abstract: We study the fusion of function difference representation (FR) and cyclic representation (CR) of Zn Sklyanin algebra (SA). Using this fusion procedure with certain functions, we derive some finite-dimensional representations of SA. We obtain a conjugate FR and a new FR of SA. We also give automorphisms and an antiautomorphism of Zn SA.

title: Eigenvalues of Ruijsenaars–Schneider models associated with An−1 root system in Bethe ansatz formalism
abstract: Ruijsenaars–Schneider models associated with An−1 root system with a discrete coupling constant are studied. The eigenvalues of the Hamiltonian are given in terms of the Bethe ansatz formulas. Taking the “nonrelativistic” limit, we obtain the spectrum of the corresponding Calogero–Moser systems in the third formulas of Felder et al.

title: The nondynamical r-matrix structure of the elliptic Ruijsenaars-Schneider model with N=2
abstract: We demonstrate that in a certain gauge the elliptic Ruijsenaars-Shneider model with N=2 admits a nondynamical r-matrix structure and the corresponding classical r-matrix is the same as that of its non-relativistic counterpart (Calogero-Moser model) in the same gauge.The relation between our (classical)Lax operator and the Lax operator given by Ruijsenaars is also obtained.

title: Determinant Representations of Correlation Functions for the Supersymmetric t-J Model
abstract: Working in the F-basis provided by the factorizing F-matrix, the scalar products of Bethe states for the supersymmetric t-J model are represented by determinants. By means of these results, we obtain determinant representations of correlation functions for the model.