SU(3)中的弱电统一模型

本文借助于SU（3）群生成元四种不同的实现,建立了一个以SU（3）规范群为基础的弱电统一模型,得到W^&;#177;粒子和Z粒子的质量以及它们与轻子的相互作用都与Weinberg-Salam模型的结果相同,并且给出sin²θ_w=1/4。这个模型要求有一个新的守恒量子数——弱奇异数存在,还存在四个重矢量粒子V^&;#177;和U^±±和一些重费米子以及标量粒子。它们都带有不为零的弱奇异数,都和轻子不直接耦合。它们的存在不影响低能范围内轻子的弱电作用,并且只能在高能下成对产生。它们中最轻的粒子将是稳定粒子。本文还讨论了弱奇异数守恒破坏的可能性及其后果。     

SU(mn) SU(m)×SU(n)单粒子母分系数

本文利用置换群CG系数计算了五个粒子以内的所有SU(mn) SU(m)×SU(n)单粒子母分系数.     

SU(4)⊙SU(2)⊙SU(1)统一模型

本文提出一种SU(4)⊙SU(2)⊙SU(1)统一模型. 在此模型中, 层子和轻子放于同一个多重态中, 所以它们有耦合, 但这种耦合不会导致质子衰变, 只对高能散射有效应. 此模型预言了有两种中性中间玻色子, 还算得了sin²θ_w=0.25, 并可使中微子有合理的质量.     

Yukawa couplings in SU(3)×SU(2)×U(1)Y orbifold models

We analyze the Yukawa couplings of the first SU(3)×SU(2)×U(1)_Y orbifold models recently obtained. In these models the rank is naturally lowered due to the presence of a Fayet-Iliopoulos term associated with an “anomalous” U(1) in the four-dimensional theory. It is shown that the phenomenological viability of the models selects a favoured class of vacua. In particular, for the specific examples considered, some twisted fields with one moded oscillator acting, must acquire non-vanishing VEVs. However other possibilities may exist. We also find that all the baryon and lepton violating operators can be, in general, avoided in a completely natural way.     

β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE

The β function behavior for SU(3)×SU(3) chiral model on 2-demensional random triangle lattice has been studied with Monte Carlo renormalization group method.The behavior is similar to that of the 4-dimensional SU(3) gauge theory,but it has a smoother transition from weak to strong coupling regions.There is no nonperturbative peak structure.The asymptotic scaling starts beyond β=5.8.     

SU(mn)SU(m)×SU(n)单粒子母分系数

本文利用置换群CG系数计算了五个粒子以内的所有SU(mn)SU(m)×SU(n)单粒子母分系数。     

SU(3)_C×SU(2)_I×U(1)_Y复合轻子理论

假定HiggsYukawa耦合是宇称不守恒的唯一来源，通过取三代并引进超对称性，从而建立了一个SU（3）C×SU（2）I×U（1）Y复合轻子理论。     

Spontaneous SU(2) symmetry violation in the SU(2) L × SU(2) R × SU(4) electroweak model

A new approach to electroweak (EW) composite scalars is developed starting from the fundamental gauge interaction on high scale. The latter is assumed to have the group structure SU(2) _L × SU(2) _R × SU(4), where SU(4) is the Pati-Salam color-lepton group. The topological EW vacuum filled by instantons is explicitly constructed and the resulting equations for fermion masses exhibit spontaneous SU(2) flavor symmetry violation with possibility of very large mass ratios.     

Elliott SU(3)模型的连续变量表示

本文运用生成坐标方法给出了Elliott SU(3)模型的连续变量表示, 并据此对其作出几何解释. 指出Elliott SU(3)动力学群集体运动态的荷载子空间由β,γ振动和转动态生成. 以SU(3)模型为例, 分析了原子核集体运动的运动学和动力学方面, 并指出集体运动的类型或模式由动力学群的代数结构决定, 而集体运动的动力学特征(能谱和惯性参量)则由哈密顿量的具体形式决定.     

SU(3)夸克模型中的Ω束缚态

从夸克 -反夸克通过介子场耦合的模型出发研究了 (ΩN) LST是否存在束缚态的问题 .计算表明当考虑了s u(s d)湮没为K 介子的机制后 ,(Ω N)0 2 1 2 是有可能形成结合能较大的束缚态     

二维随机三角点阵上SU(3)×SU(3)手征模型β函数的研究

用蒙特卡洛重正化群方法讨论了二维随机三角点阵上SU(3)×SU(3)手征模型的β函数行为,得出它的行为与四维SU(3)规范理论模型的β函数相似,但强、弱耦合区的过渡更为平滑,不存在尖锐的小峰,标度区从β=5.8开始.     

二维随机三角点阵上SU(3)×SU(3)手征模型β函数的研究

用蒙特卡洛重正化群方法讨论了二维随机三角点阵上SU(3)×SU(3)手征模型的β函数行为,得出它的行为与四维SU(3)规范理论模型的β函数相似,但强、弱耦合区的过渡更为平滑,不存在尖锐的小峰,标度区从β=5.8开始.     

On superstring-inspired SU(3) × SU(2) × (U(1))2 models with SO(10) unification

Alternative compactification of the heterotic superstring can give rise to a residual four-dimensional SO(10) gauge symmetry for the observable sector. We consider a model with gauge group SU(3) × SU(2) × (U(1))², resulting from the Hosotani breaking of SO(10), study its further gauge symmetry breaking and calculate the particle spectrum. We find that all breakings can occur close to the weak scale; the top mass lies preferentially between 40 and 60 GeV, the second Z boson mass is O(200–400) GeV. The sparticle spectrum is quite heavy, apart possibly from a light chargino, whose mass can be as light as O(30) GeV.     

关于三重子系统的SU(3)对称性

本文提出了³He和³H等三重子填充SU(3)群35维不可约表示的可能性.计算了三重子三十五重态的波函数及分支比,给出了多重态内部各三重子态的质量之间的关系,并预言了可能存在的三重子系统.     

IBM4中的强耦合SU(3)极限

将IBM推广应用于轻核时收IBM4.本文讨论了其中的下述群链.U(36)U₆(sd)×U₆(ST) SU₃(sd)×SU₃(S)×SU₃(T) SU₃(sdS)×SU₃(T)× O₃(J)× O₃(T)的约化、典型能说与E2跃迁,并用它对sd壳的核基态进行了分类.     

SU(3)夸克模型中的ΩN束缚态

从夸克–反夸克通过介子场耦合的模型出发研究了(ΩN)LST是否存在束缚态的问题.计算表明当考虑了su(sd)湮没为K介子的机制后,(ΩN)0212是有可能形成结合能较大的束缚态.     

SU(4)×SU(4)禁闭弱作用复合模型

本文对超色群为半单群的亚夸克模型结构作了讨论, 具体构造了一个SU(4)×SU(4)禁闭弱作用复合模型, 模型中给出了三代轻质量的复合粒子.     

Charm changing weak decays 1/2+ → 3/2+ + 0−/γ in SU(4) and SU(8) w

Weak decay modes (1/2⁺ → 3/2⁺ + 0⁻/γ) of charmed baryons are studied. Relations among the various decay amplitudes are derived in isospin, SU(3), SU(4) and SU(8) _w symmetries. Sextet dominance in SU(3) forbidsB(3) →D(10) +P(3*) decays. 20″ dominance in SU(4) specifies all the decays in terms of Θ⁻ decays. Weak decays of Θ* ₃ ⁺⁺ and Θ⁻ are also discussed. SU(8) _w symmetry predictsα , which is consistent with the experimental value.