J/ψ强子衰变过程的矩分析

本文给出了过程e⁺+e^－→J/ψ→V+X,V→P₁P₂或P₁P₂P₃和X→pp的角分布螺旋度形式,并在此基础上进行了矩分析,得到了若干关系式,有助于确定玻色共振态X的自旋J_x以及过程J/ψ→V+X的螺旋度振幅之比.     

过程e+e－→J/ψ→V+X(JPC), X→3P的矩分析

用推广的矩分析方法对过程e⁺e^－→J/ψ→V+X(J^PC), X(J^PC)→3P进行了研究,着重讨论了多态耦合的共振峰复杂结构,并由此得到了一些矩的关系式.利用这些关系式,可以通过对实验数据的分析来确定宽共振峰的耦合模式,进而确定它们的质量,宽度,自旋等重要性质.     

J/ψ强子衰变过程的角分布螺旋度形式

本文给出了e⁺e^－→J/ψ→V+X,V→P₁P₂和e⁺e^－→J/ψ→V+X,X→P₄P₅过程的角分布螺旋度形式.为e⁺e^－实验数据分析提供了理论公式.     

ι-E疑难和推广的矩分析

本文引进过程e⁺e^－→J/ψ→γB,B→P₁P₂P₃的矩的光子角分布来讨论ι-E疑难,得到了判断J/ψ→γKKπ过程中产生的共振峰是否包含E(1⁺⁺)分量的一个有效判据.     

对过程e+e－→J/ψ→γ+X(JPC),X→BB(重子,反重子)的角分布和共振态X的自旋–宇称分析

用螺旋度角分布方法对过程e⁺e^－→J/ψ→γ+X(J^PC),X(J^PC)→BB(重子,反重子)进行了分析,得到了X具有不同自旋─—宇称时角分布及投影角分布的形式,从而可以通过对实验数据的分析来确定共振态X的自旋性质.     

确定ξ(2230)自旋的一种新方法

本文得到了过程e⁺e^－→J/ψ→γB(J^η)、B(J^η)→P_{1P2的矩的光子角分布,提供了确定ξ(2230)自旋的新途径.}     

用推广的矩分析方法确定J/ψ→X十f0(980)中玻色共振态X的自旋─宇称

用推广的矩分析方法讨论了过程J/ψ→X+f₀(980),X→K⁺K^－,f₀(980)→π⁺π^－.利用得到的矩表达式,可以确定玻色共振态X的自旋-宇称.     

e++e－→J/ψ→V+X,X→3P过程的角分布螺旋度形式

本文给出了过程e⁺+e^－→J/ψ→V+X,X→P₁+P₂+P₃(V和P_i分别代表矢量介子和赝标介子)的角分布螺旋度形式,为确定上述过程中间态X的自旋和宇称提供了理论公式.     

J/ψ三级二体强衰变过程的自旋-宇称分析

本文给出了级联衰变过程e⁺+e^－→J/ψ→V+X,X→P₁+Y,Y→P₂+P₃(V代表矢量介子,P_i代表赝标介子)的角分布螺旋度形式,为通过J/ψ三级二体强衰变过程对中间态X粒子进行自旋-宇称分析提供理论公式.     

中性top-pion的产生和衰变

研究了顶色辅助的人工色(TC2?)理论预言的中性top-pion π0t的产生和衰变.结果表明:在高能正负电子对撞(LC)实验中,通过e⁺e^－→γπ0t和e⁺e^－→Z π0t过程可以产生大量的π0t粒子,通过e⁺e^－→γπ0t→γtc和e⁺e^－→π0tZ→tcZ过程可以探测中性top-pion π0t?的可能物理迹象.     

Statistical properties of chaos in Chebyshev maps

Statistical properties of fully developed chaotic maps in the form of Chebyshev polynomials are calculated exactly. We derive analytic expressions for characteristic functions, moments, and moment functions and mention a number of other properties. We also determine higher-order moment functions, which are important for a characterization of the non-gaussian processes exhibited by many maps.     

Derivation of three-body collision-induced light-scattering spectrum moments for argon,krypton, xenon

The expressions for the zeroth and second moments of the three-body component of the collision-induced light-scattering spectrum are derived within the pair-potential and pair-polarizability approximations.

Computer calculation of the three-dimensional integrals which appear in the moment expressions is performed for Lennard-Jones and Barker potentials of argon, krypton and xenon within the dipole-induced-dipole approximation for the pair-polarizability.

The comparison of the results which are obtained with the two different potentials shows the very important role which is played by the choice of the potential in the determination of the values of the moments. An example of the applicability of the moment analysis of the three-body spectrum is also given for argon and the results compared with those of two-body.     

Algebraic expressions for vibration-rotation line intensities of near prolate asymmetric molecules: Application to SO2 molecule

A treatment of the intensities of vibration-rotation lines of near prolate asymmetric molecules is given, leading to explicit expressions relating the observed to the appropriate coefficients in the expansions of the potential energy and the dipole moment. The theoretical results are compared with experimental determinations of line intensities in the υ₁-band of sulfur dioxide.     

Propagation characteristics of TM Gaussian beam

The propagation characteristics of TM polarized Gaussian beam, which is the rigorous solution of an eigenfunction problem for a confocal resonator, have been investigated using the nonparaxial vectorial moment theory of light beam propagation. The analytical expressions of the beam propagation factors are given by means of Fourier transform. Both the transversal second-order moment beam widths follow a simple hyperbolic variational law. For nonparaxial case, however, beam has different propagating features in the two transversal directions. As to paraxial case, its propagation approximately reduces to that of scalar Gaussian beam TEM₀₀ mode.     

Determining the Spin-Parity of the Boson Resonance X in the Process J/ψ→X+f0 (980) by Using the Generalized Moment Analysis Method

The processes J/ψ→X+f₀ (980), X→K⁺ K^－,f₀ (980)→π⁺+π^－ are discussed using the generalized moment analysis method. It is suggested that in terms of the obtained moment expressions the spin-parity of the boson resonance X can be determined by further measurements.     

Sum rules for nuclear collective excitations

Characterizations of the response function and of integral properties of the strength function via a moment expansion are discussed. Sum rule expressions for the moments in the RPA are derived. The validity of these sum rules for both density independent and density dependent interactions is proved. For forces of the Skyrme type, analytic expressions for the plus three energy weighted sum rules are given for isoscalar monopole and quadrupole operators. From these, a close relationship between the monopole and quadrupole energies is shown and their dependence on incompressibility and effective mass is studied. The inverse energy weighted sum rule is computed numerically for the monopole operator, and an upper bound for the width of the monopole resonance is given. Finally the reliability of moments given by the RPA with effective interactions is discussed using simple soluble models for the hamiltonian, and also by comparison with experimental data.     

Moments of intensity distribution of super-Gauss beam in turbulent atmosphere

Moment of intensity distribution is one of the most important parameters in studying the propagation of a beam in turbulent atmosphere. With the help of Wigner transform and the expansion of mutual coherence function (MCF) of turbulence, a relation between the moment of intensity distribution and the moment of power spectrum of refractive index fluctuations is found. The study shows that the jth-order moment of beam intensity distribution is only affected by the moment of power spectrum of refractive index fluctuations which order is not larger than j. Meanwhile, the expressions for the moment of beam intensity distribution, in which order is not larger than the fourth order are given. As a special case, the moments of the super-Gaussian beam (SGB) in turbulence are studied. The evolution of the kurtosis parameters of SGB under different condition is investigated in detail.     

光斑矩参量阵列测试法的测量不确定度

为计算和评估光斑矩参量阵列测试法的测量不确定度,以光斑矩参量积分表达式为出发点,推导了零阶近似下光斑矩参量的离散表达式,初步分析了光强分布数据中单元位置及探测光功率的测量不确定度。在此基础上,根据不确定度传递律,推导了阵列测试法下光斑矩参量测量不确定度的一般表达式。进一步得到了数种常用简化条件下的矩参量不确定度表达式,并进行了相应的分析。由此建立了光斑矩参量计算及其不确定度评定的一套完整方法。利用简化公式,对自行研制的激光光斑分析仪和通用的CCD面阵探测器的光斑矩参量测量不确定度进行了分析,给出了计算表达式。     

Angular Dependence of Lateral and Levitation Forces in Asymmetric Small Magnet/Superconducting Systems

The dipole-dipole interaction model is used to calculate the angular dependence of lateral and levitation forces on a small permanent magnet and a cylindrical superconductor in the Meissner state lying laterally off the symmetric axis of the cylinder. Under the assumption that the lateral displacement of the magnet is small compared with the physical dimensions of the system, we obtain analytical expressions for the lateral and levitation forces as functions of geometrical parameters of the superconductor as well as the height, the lateral displacement and the orientation of magnetic moment of the magnet. The effect of thickness and radius of the superconductor on the levitation force is similar to that for a symmetric magnet/superconducting cylinder system, but within the range of lateral displacement. The splitting in the levitation force increases with the increasing angle of orientation of the magnetic moment of the magnet. For a given lateral displacement of the magnet, the lateral force vanishes when the magnetic moment is perpendicular to the surface of the superconductor and has a maximum value when the moment is parallel to the surface. For a given orientation of the magnetic moment, the lateral force has a linear relationship with the lateral displacement. The stability of the magnet above the superconducting cylinder is discussed in detail.     

Pressure broadening theory of assymmetric-top molecules using the methods of irreducible tensor operators

Contributions to the second-order collision efficiency function used in Anderson and Murphy-Boggs pressure-broadening theories due to dipole-dipole, dipole-quadrupole, quadrupole-dipole, and quadrupole-quadrupole interactions are derived by the method of irreducible spherical tensor operators for molecules of arbitrary symmetry. Results are given explicitly in terms of dipole and quadrupole line strengths. General expressions for dipole line strength in the asymmetric rotor basis, as well as quadrupole moment line strength for the special case of molecules with two independent quadrupole moment components, are derived.