Coupling Coefficients of Quasispin Group SO(5)t

A recurrent method for coupling coefficient calculations of five-dimensional quasispin group SO(5)_t is proposed. The explicit coupling coefficients such a .     

Derivation of O(3) Electrodynamics from the Irreducible Representations of the Einstein Group

By considering the irreducible representations of the Einstein group (the Lie group of general relativity), Sachs [1] has shown that the electromagnetic field tensor can be developed in terms of a metric q , which is a set of four quaternion-valued components of four-vector. Using this method, it is shown that the electromagnetic field vanishes [1] in flat spacetime, and that electromagnetism in general is a non-Abelian field theory. In this paper the non-Abelian component of the field tensor is developed to show the presence of the B ⁽³⁾ field of the O(3) electrodynamics, and the basic structure of O(3) electrodynamics is shown to be a sub-structure of general relativity as developed by Sachs. The extensive empirical evidence for both theories is summarized.     

Irreducible Representations of the Poincaré Group Including Inversions

We classify completely all irreducible representations of the Poincaré Group (including inversions) corresponding to positive or zero mass systems, using a generalized version of the method of VARADARAJAN [9] which seems to be more convenient for practical computation than the method of PARTHASARATHY [5]. The case of zero mass — infinite helicity systems which was not considered previously in the literature is treated in a complete fashion.     

Irreducible Representations of Quantum sl(3) Enveloping Algebra

By referring to the construction method of finding representations of classical U(n) group, we developed a parallel method with which one can construct irreducible representations of quantum sl(3) enveloping algebra explicitly.     

Irreducible Representations of the Quantum Group Uq(m + n) in Uq(m)⊕ Uq(n) Basis

Irreducible represen tations of U_q(m + n) in U_q(m) ⊕ U_q(n) basis are discussed. The noncanonical basis of U_q(m + n) are expanded in terms of its canonical basis. The expansion coefficients or subduction coefficients of U_q (m + n)↓ U_q(m) ⊕ U_q(n) are derived from the subduction coefficients of Hecke algebras.     

SPL(2，1)超代数的不可分解表示和不可约表示

利用ＳＰＬ（２,１）的非齐次玻色 费米实现,研究了ＳＰＬ（２,１）在Ｈｅｉｓｅｎｂｅｒｇ Ｗｅｙｌ超代数的广义包络代数的子空间和商空间上的不可分解表示和不可约表示,并给出了它的全部有限维不可约表示 关键词：     

One-Parameter Indecomposable and Irreducible Representations of gl(2 | 1) Superalgebra

Using inhomogeneous boson–fermion realization, one-parameter indecomposable and irreducible representations of the gl(2 | 1) superalgebra are studied on subspace and quotient spaces of the universal enveloping algebra of Heisenberg–weyl superalgebra. All the finite-dimensional irreducible representations of one-parameter of the gl(2 | 1) superalgebra are naturally obtained as special cases. The parameter has relation to the Hubbard interaction parameter U in the Hubbard model for correlated electrons.     

Irreducible Representation of the Quantum Group Eq(2)

A basis for an irreducible representation of the quantum algebraE _q (2) is given,consisting of eigenfunctions of the q-differential representationof the Casimiroperator of the quantum algebra E _q (2).     

Irreducible Representations of Quantum Lie Superalgebra SLq(2/1)

In this paper,some generators of SL_q(2/1),satisfying the Serre-like relations,can be considered as 1/2 rank tensor-like operators.The reduced matrix elements of them can be calculated by a set of recurrent formula.Thus th irreducible representations of SL_q(2/1) may be completely determined.     

Differential Representations of SO(4) Dynamical Group

In this paper we present systematic differential representations for the dynamical group SO(4). These representations include the left and the right differential representations and the left and the right adjoint differential representations in both the group parameter space and its coset spaces. They are the generalization of the differential representations of the SO(3) rotation group in the Euler angles. These representations may find their applications in the study of the physical systems with SO(4) dynamical symmetry.     

Configuration dependent L = 0 shapes in 32S(t,p)34S

In the ³²S(t,p)³⁴S reaction at 10 MeV, qualitative differences appear in the 0⁺ → 0⁺ angular distributions even at forward angles. Qualitatively similar differences result from simple distorted-wave calculations, using pure microscopic configurations.     

Branching fraction and CP asymmetries of B0-->K0(S)K0(S)K0(S)

We present measurements of the branching fraction and time-dependent CP-violating asymmetries in B0-->K0(S)K0(S)K0(S) decays based on 227 x 10(6) Upsilon4S-->BB decays collected with the BABAR detector at the PEP-II asymmetric-energy B factory at SLAC. We obtain a branching fraction of (6.9(+0.9)(-0.8)+/-0.6) x 10(-6), and CP asymmetries C=-0.34(+0.28)(-0.25)+/-0.05 and S=-0.71(+0.38)(-0.32)+/-0.04, where the first uncertainties are statistical and the second systematic.     

Algebraic Expressions for Some SO(N) Racah Coefficients for the Two-Rowed Irreducible Representations

In this paper the algebraic expressions for SO(N) Racah coefficients involving the coupling of three irreducible representations (irreps)(10),(m_l m₂ 0) and (10) are given using the building-up process.     

On Characters and Superdimensions of Some Infinite-Dimensional Irreducible Representations of osp(m|n)

Physics of Atomic Nuclei - Chiral spinors and self dual tensors of the Lie superalgebra osp(m|n) are infinite-dimensional representations belonging to the class of representations with Dynkin...     

Universal Covering Group of U(n) and Projective Representations

Using fiber bundle theory, we construct the universal covering group of U(n),U(n), and show that U(n) is isomorphic to the semidirect product SU(n) ∝.We give a bijection between the set of projective representations of U(n) and theset of equivalence classes of certain unitary representations of SU(n) ∝.Applying Bargmann's theorem, we give explicit expressions for the liftings ofprojective representations of U(n) to unitary representations of SU(n) ∝. Forcompleteness, we discuss the topological and group theoretic relations betweenU(n), SU(n), U(t), and Z _n .     

Indecomposable Representations of the Quantum Group SU(2)q1

The infinite-dimensional indecomposable representations are constructed by using the purely algebraic method and the matrix elements for these representations are obtained in an explicit form. Each familiar finite-dimensional irreducible representation ia induced on a quotient space.     

Measurement of time-dependent CP-violating parameters in B(0)-->K_(S)(0)K_(S)(0) decays

We report a measurement of the CP-violating parameters in B;{0}-->K_{S}{0}K_{S}{0} decays based on a data sample of 657x10{6} BB[over ] pairs collected at the Upsilon(4S) resonance with the Belle detector at the KEKB asymmetric-energy e;{+}e{-} collider. In this Letter, one neutral B meson is fully reconstructed in the B;{0}-->K_{S}{0}K_{S}{0} decay mode, and the flavor of the accompanying B meson is identified by its decay products. The CP-violating parameters are measured from the asymmetry in the distributions of the proper-time interval between the two B decays: S_K_{S}{0}K_{S}{0}}=-0.38_{-0.77}{+0.69}(stat)+/-0.09(syst) and A_{K_{S}{0}K_{S}{0}}=-0.38+/-0.38(stat)+/-0.05(syst).     

Rate coefficients measurement for the energy-pooling collisions Cs(5D) + Cs(5D) → Cs(6S) + Cs(nl = 9D, 11S, 7F)

We report experimental rate coefficients for the energy-pooling collisions Cs(5D) + Cs(5D) → Cs(6S) + Cs(nl = 9D, 11S, 7F). In the experiment the Cs(5D) state was populated via photodissociation of Cs₂ molecules using an argon-ion laser at wavelength 488.0 nm. We also consider the competing process 6P_1/2 + 7S → 6S + (nl = 9D, 11S, 7F) that might also populate 9D, 11S and 7F. An intermodulation technique was used to select the fluorescence contributions due only to the process 6P_1/2 + 7S → 6S + (nl = 9D, 11S, 7F). The excited atom (nl_J) density and spatial distribution were mapped by monitoring the absorption of a counterpropagating probe laser beam tuned to various transitions. The measured excited atom densities are combined with measured fluorescence ratios to yield rate coefficients for the energy-pooling collisions Cs(5D) + Cs(5D) → Cs(6S) + Cs(nl = 9D, 11S, 7F). The rate coefficients for nl = 9D, 11S, 7F are (4.1 ± 2.0) × 10⁻¹⁰ cm³ s⁻¹, (1.6 ± 0.8) × 10⁻¹⁰ cm³ s⁻¹ and (3.6 ± 1.8) × 10⁻¹⁰ cm³ s⁻¹, respectively. The contributions to the rate coefficients from other energy transfer processes are also discussed.     

强子对撞机上中性top-pion介子产生过程pp(pp)→Π0tΠ0t,bΠ0t的研究

在TC2模型框架下研究了强子对撞机Tevatron和LHC上中性top-pion介子Π0t的产生过程pp(pp)→Π0tΠ0t和pp(pp)→bΠ0t. 研究结果表明, 在Tevatron上, 这两个过程的产生截面都很小, 通过这两个过程我们无法探测到中性top-pion介子. 在LHC上, 产生截面会大大增加, 但通过Π0tΠ0t的产生仍无法探测到中性top-pion介子. bΠ0t在LHC上的产生截面能达到几百个fb甚至pb的量级, LHC每年能产生10⁴—10⁵个bΠ0t事例. 另外, 味改变耦合Π0t tc的存在, 使得实验能通过背景非常干净的衰变道Π0t→tc来探测Π0t. 因此, 通过bΠ0t这一产生机制, 未来的LHC实验应能获得足够多的可鉴别的Π0t事例. 我们的研究结果, 可为LHC上寻找中性top-pions介子检验TC2模型提供有价值的理论指导.