核子与氘核散射中的极化

利用转动、反射及时间反演的不变性,求得核子与氘核散射中极化的一般公式,并且把所得的结果通过散射相移表示出来。     

COMPUTATION OF THE RELAXATION OSCILLATION PERIOD IN LOTKA‐VOLTERRA SYSTEMS

ABSTRACT. This work surveys techniques of Grasman and Veling [1973], Vasil'eva and Belyanin [1988] and Shih [1996] for computing the relaxation oscillation period of singularly perturbed Lotka‐Volterra systems. Grasman and Veling [1973] used an implicit function theorem to derive an asymptotic formula for the period; Vasil'eva and Belyanin [1988] employed a method of matched asymptotic expansions to obtain an approximation to the period; Shih [1996] obtained two (exact) integral representations for the period in terms of two inverse functions W(–k, x) of xexp(x). These results are compared numerically and asymptotically. In particular, the integral representation of the period in Shih [1996] is computed numerically using a Gauss‐Tschebyscheff integration rule of the first kind, and is further investigated asymptotically by virtue of the asymptotics of W(–k, x), Laplace's method, and a method of consequent representation. Computational results indicate that the Gauss‐Tschebyscheff approximation of the period in Shih [1996] is uniformly accurate for a wide range of the singular parameter (? in the paper).     

A STUDY OF ULTRA-HIGH ENERGY γ-RAYS BY EMULSION CHAMBERS

Ultra-high energy γ-rays have been observed by emulsion chambers exposed at Yunnan Station （3200m, 700g/cm² atmospheric depth）. The integral spectrum, the vertical intensity and the attenuation length in air of the gamma rays in the energy region 2 TeV to 30 TeV are presented. The results of gamma ray families with total observed energies ranging from 5 TeV to 70 TeV are discussed.     

K+介子的三体轻子衰变

本文利用色散关系方法,假设普适V-A弱相互作用和奇异矢量流不守恒,从而对形状因子f₀,f₁的色散关系进行一次减去,计算了K_μ3⁺、K_e3⁺衰变中的π⁰能谱,K_μ3⁺衰变中的μ⁺能谱和μ⁺的纵向极化。计算中只考虑了K₁^*(m_*=888MeV)中间态对色散积分的贡献。参数σ取为+2.1的结果和实验在误差范围内相符合。放弃奇异矢量流部分守恒假设与实验符合的程度比保持这一假设要好一些。     

聚苯乙烯-聚甲基丙烯酸甲酯-甲苯体系的光散射性质

本文研究了不同组成聚苯乙烯、聚甲基丙烯酸甲酯混合物甲苯溶液和聚苯乙烯在不同浓度的聚甲基丙烯酸甲酯-甲苯体系中的光散射。试样聚苯乙烯是经过二次重复分级的级分;聚甲基丙烯酸甲酯是经过三次重复分级的级分。由于聚甲基丙烯酸甲酯的折光指数和甲苯相同,聚甲基丙烯酸甲酯分子对溶液的散射光强没有贡献。从90°,45°和135°三个角度的散射光强测定计算得到聚苯乙烯级分的重均分子量和均方末端距,在所有情况下都相同,而曲綫斜率,受聚甲基丙烯酸分子的存在而降低。实验结果表明溶液中聚甲基丙烯酸甲酯的存在,对聚苯乙烯的〈M〉_w和〈h~2〉~(1/2)_z没有影响。     

ON TOPOLOGICAL LINEAR CONTRACTIONS ON NORMED SPACES AND APPLICATION

51.IntroductionandPreliminariesThroughoutthispaper(X,11'if)denotesanormedspaceandN(11'II)denotesthecollectionofallnormsonXwhichareequivalentto11'11.Foreach11'if'6N(II'II)andeachr>0,letX.(ll'II')~{xEX:Ilxll'5r}andX?(ll'if')~{xEX.Ilxll'相似文献   

CALCULATION OF WALL-BOUNDED COMPLEX FLOWS AND FREE SHEAR FLOWS

Various wall-bounded flows with complex geometries and free shear flows have been studied with a newly developed realizable Reynolds stress algebraic equation model. The model development is based on the invariant theory in continuum mechanics. This theory enables us to formulate a general constitutive relation for the Reynolds stresses. Pope (J. Fluid Mech., 72 , 331–340 (1975)) was the first to introduce this kind of constitutive relation to turbulence modelling. In our study, realizability is imposed on the truncated constitutive relation to determine the coefficients so that, unlike the standard k–ϵ eddy viscosity model, the present model will not produce negative normal stresses in any situations of rapid distortion. The calculations based on the present model have shown encouraging success in modelling complex turbulent flows.