WAVE FUNCTIONS WITHOUT SU6 SYMMETRY IN THE STRATON MODEL AND THEIR APPLICATIONS

On the basis of the straton model^[1],using the general groundstate wave functionsof mesons and baryons given in ref.[2],we have constructed under some specific as-sumptions the meson and baryon wave functions without SU₆ symmetry.We applythese wave functions to explain the mesonic and baryonic properties of the electroma-gnetic and weak interactions;many results obtained are in agreement with the experi-ments.By using the 1/2⁺-baryon wave functions without SU₆ symmetry,we obtain ananomalous magnetic moment for the proton.There is no need to introduce an ano-malous magnetic moment for the straton in the effective Hamiltonian of electromag-netic interaction between stratons.Similarly,the magnetic moment of the neutroncan also be explained.     

SU3羣不可约表示直乘的分解

本文利用SU₃羣无穷小算子的对易关系,求出了SU₃羣的所有不可约U表示,并导出了SU₃羣的约化系数满足的方程。作为例子,我们计算了SU₃羣的(01)×(10),(11)×(10),(11)×(11),(30)×(11)的约化系数。     

THE ANALYTIC RESULTS FOR U1 AND SU2 AVERAGE PLAQUETTE TO THE THIRD ORDER APPROXIMATION IN THE CUMULANT EXPANSION

In the lattice gauge theory, by using cumulant expansion, we calculate the average plaquette for U₁ and SU₂ group up to the third order approximation in 4 and 5 dimensions analytically. Our results are consistent with MC data. We also discuss the application of cumulant expansion techneque in lattice theory.     

ON THE GAUGE VACUUM EFFECTS IN SU2 GAUGE THEORY

It is shown that there exist connections in some of the present gauge theories andthe theory which can provide a mass to the gauge particle without the usual sponta-neous symmetry breaking.     

ORTHOGONAL UNITS OF SYMMETRY GROUP S4

There are 24 elemente of four-particle symmetry group S₄. By use of SubstitutionalAnalysis can obtain the unitary representation of this group. Then, have the orthogonalunits.     

空间羣不可约表示对称冪及反对称冪的简约

本文将作者们对空间羣不可约表示直接乘积的简约所发展的方法推广到空间羣不可约表示对称幂及反对称幂的简约,列出了对六角密积与纤维锌矿结构对称化平方的计算结果;利用这些结果,对组态不隐定性作了初步讨论。     

IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)

Using the definition of irreducible tensor operators of the Lie group SU(n), we ive a method of calculating the irreducible representations of the graded Lie algebra U(m/n). We also give some simple examples of irreducible representations of U(3/2) and SU(m/n).     

TRACELESS OPERATORS AND SO6 WAVE FUNCTIONS OF sd BOSONS

Traceless operators of sd bosons are introduced and used to construct the SU₆SO₆SO₅SO₃ wave functions of sd bosons according to the method of T.S.Yang     

THE TWO-BODY SPIN-ORBIT COUPLING INTERACTION AND THE ENERGY SPECTRA OF f7/2 SHELL NUCLEI

In this paper we use the central and two-body spin-orbit coupling forces as theresidual interaction to calculate the energy spectra of f_7/2 shell nuclei,with the valuesof the exchanged parameters suitably regulated.The harmonic oscillator wave functionis employed as the radial wave function.The consistency between the calculated energylevels of the nuclei and the experimental data is rather satisfactory.The results showthat the effects of two-body spin-orbit coupling term in the residual interaction cannot be neglected.     

THE U1 GAUGE FIELD IN A SUN GAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES

Let F be a SU_N gauge field on the space-time manifold M₄, b_λ（x） （λ=0,1, 2, 3） the gauge potentials, the field strengths and Q（x） a Higgs field. All quantities b, f_λμ and Q（x） are SU_N'-valued, i.e. they are represented by N×N anti-hermitian traceless matrices.Let M₄' be the set of x such that Q（x）≠0 and define on M₄', where The following results are obtained:Theorem 1. The 1st set of Maxwell equations F_λμ,v+F_μv,λ+F_vλ,μ=0 are satisfied for arbitrary b_λ if and only if with Here s is an integer, 1≤s≤N-1.Suppose the conditions in theorem 1 are satisfied.Theorem 2. If s is a space-like two-dimensional surface, the value of dual charges contained in s defined by is equal to lq', where l is an integer and Theorem 3. The value of dual charges contained in S is equal to the integral which is independent of the gauge potentials.Theorem 4. The least positive value q' of dual charge can be attained by some Higgs fields.Remarks（a） When N=2, the results obtained are consistent with those of t Hooft, Arafune and Hou etc.（b） For N=3, we give an answer to the question of quantized values of dual charges which was discussed by Marciano and Pagels.（c） The Higgs field ø（x） is a mapping from M'₄ into the AⅢ type symmetric space SU_N/S(U_s X U_N-s) and the integral is an extension of Kronecker index for N=2.     

线性分子对称群的不可约表示和f轨道的对称性

研究了Ｃ∞ｖ和Ｄ∞ｈ群的不可约表示，并志出了在Ｃ∞ｖ，Ｄ－∞ｈ，Ｃ２ｖ和Ｃ３ｖ群中ｆ轨道所属的对称性。     

β-LaNi5·H6的结构和氢占有率

关于β-LaNi₅·H_x(x～6)的空间群来自中子衍射有三种不同说法:P31m,P321和P6/mmm。本文综合质子NMR二次矩和组态熵等方面对上述争议作了分析。综合分析包括:明确刚性排斥相关半径r_c概念;核算P31m,P321和P6/mmm在不同r_c设置下的相关系数表;基于中子衍射提供的氢占有率提出可能的统计考虑;适当修改前人关于组态熵计算公式,对比计算值与组态熵实验分析值;根据相同的统计考虑程序计算NMR二次矩并与 关键词：     

Bi12GeO20晶体的位错蚀斑与对称群

用化学浸蚀法系统的研究了Bi₁₂GeO₂₀晶体{100},{100},{111}等晶面独特浸蚀斑规律并用对称群理论进行分析.理论预示的蚀斑形态与实验结果符合很好.显示位错蚀斑是由{112}晶面组成,即晶体的惯态面为{112}.     

SU4群与基本粒子的对称性

从李羣的一般理论,具体地讨论了SU₄的数学处理,给出了羣的代数结构、不可约表示维数的公式、三个基本表示的明显形式及表示直积分解的主要结果。根据SU₄对称,下列基本粒子的对称模型被构成:(1)Bacry和Van Hove模型,(2)Schwinger模型,(3)正反粒子对称的坂田模型,(4)正反粒子对称的八度法模型。在这些模型中,一些与实验一致的新的结果被得到。     

α—LiIO3准一维离子电导空间电荷沉积线的直观显示

为了研究α-LiIO₃在直流电场作用下,离子输运与其光学、电学性质的关系,我们设计并完成了电荷沉积线的静电染色显示和针状电极作用下电荷沉积线的生长与分布情况的光学观测实验。直接显示出间隙Li⁺和Li空位都存在各自的沉积线,证实了我们以前报道的光栅亮线是带电荷的实体;整个生长层为富集Li⁺区;直观地证实了α-LiIO₃离子管道输运与电荷沉积是完全一致的和α-LiIO₃的准一维电导特性。 关键词：     

SU(3) LEPTON MODEL AND THE DYNAMICAL GENERATION OF LEPTON MASS DIFFERENCES

A SU (3) lepton model is discussed in which the left- and right-handed leptons are on equal footing and sin²θ_w=1/4 is obtained. Dynamical symmetry breaking is investigated to see if lepton mass difference can be generated in this way so as to reduce the number of Higgs scalars and Yukawa coupling constants. Calculating the effective potential up to two-loop graphs gives the results that composite Goldstone bosons can exist only when the remained Yukawa coupling constant lies within a certain range. The corresponding heavy lepton mass obtained is about 130 GeV.     

B2羣和基本粒子强相互作用

计算了B₂羣不可约表示的直接乘积4×4,4×5,4×10和5×5分解中的约化系数。给出了它在基本粒子强相互作用对称性方面的应用的若干例子:推导了散射截面关系和低维数表示的质量关系,讨论了共振态的填充和衰变情况以及R反演不变性等。     

THE ROTATION ALIGNMENT EFFECTS OF g9/2 PROTON PAIR AND NEUTRON PAIR IN 68Ge

Using the HFB cranking model, the RAL effect of g_9/2 proton pair and neutron pair for three forking phenomenon in ⁶⁸Ge is studied. Calculations show that two backbending of three forking in ⁶⁸Ge are mainly caused by rotation alignment of g_9/2 proton pair and neutron pair.     

大尺寸LnBa2Cu3O7-δ单晶的生长及其超导电性

本文报道大尺寸LnBa₂Cu₃O_7-δ(Ln=Y,Eu,Gd,Dy,Ho,Er,Tm,Yb,Lu)单晶生长及其超导电性,并讨论了(001)自然晶面的X射线多级衍射、劳厄相、旋进相等单晶鉴定法。 关键词：     

ZnWO4晶体中W原子的配位数

本文依据X射线结构数据和Raman光谱测量,分析了闪烁体ZnWO₄单晶中W原子的配位情况。得出在属黑钨矿结构的ZnWO₄中,认为W的配位数Z为6较4要合适些,即把发光中心看作是WO₆原子基团比WO₄^-2离子更合适些。同时得到四条ZnWO₄晶体的Raman新谱线。 关键词：