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1.
Considering the one-gluon exchange interaction and phenomenological quark confinement potential, an improved light-cone effective Hamiltonian for mesons and the corresponding radial mass eigen equations in angular momentum representation is obtained. Solving the J = 0 eigen equations numerically and using a set of adjustable parameters, the obtained solutions for ground states and radial excited states can simultaneously describe both pseudoscalar and scalar flavour-off-diagonal mesons. Some radial excited states are also predicted and wait for experimental test. More results for the vector and axial vector mesons are expected.  相似文献   

2.
根据从 QCD生成泛函所建立的夸克和反夸克的传播子、四点格林函数及其它类型的格林函数所满足的运动方程 ,推导出了夸克 -反夸克束缚态的 Bethe- Salpeter方程中相互作用核的明显且封闭的表示式 ,给出了这个表示式的未重整化和重整化了的形式 .这个表示式不仅易于进行微扰计算 ,而且适于进行非微扰的计算 ,特别是它提供了求解夸克禁闭问题一个恰当的理论出发点.The interaction kernel in the Bethe-Salpeter equation for quark-antiquark bound states is derived from the Bethe-Salpeter equations satisfied by the quark-antiquark four-point Green s function. The latter equations are established based on the equations of motion obeyed by the quark and antiquark propagators, the four-point Green s function and some other kinds of Green s functions which follow directly from the QCD generating function. The Bethe-Salpeter kernel derived is an exact...  相似文献   

3.
The relativistic multichannel theory has been extended to calculate both the eigen quantum defects μα, transformation matrix Uiα, and the eigen dipole matrix elements Dα of krypton. The Rydberg and autoionization spectra of krypton across the first ionization threshold are calculated within the framework of multichannel quantum defect theory. Our calculated spectra are in agreement with the absolute measurement data.  相似文献   

4.
The solutions of the Schrodinger equation with quantum mechanical gravitational potential plus harmonic oscillator potential have been presented using the parametric Nikiforov-Uvarov method. The bound state energy eigen values and the corresponding un-normalized eigen functions are obtained in terms of Laguerre polynomials. Also a special case of the potential has been considered and its energy eigen values are obtained.  相似文献   

5.
考虑非微扰量子色动力学物理真空夸克凝聚效应,计算了碳核与碳核在质心系能量分别为630和200GeV时碰撞Drell—Yan过程的K因子,以及加入核遮蔽因子后非微扰效应对K因子的影响,并把计算结果与没有考虑夸克凝聚非微扰效应的K值进行了对比。结果表明,非微扰效应和核遮蔽效应对K因子影响很小。Considering quark condensate contributions from the QCD vacuum, the non-perturbative effect on the K-factor is investigated for the C-C collision Drell-Yan process with and without nuclear shadowing respectively, at the center-of-mass energy √s= 630 and 200 GeV. Comparison of the results indicates that both the non-perturbative effect and the nuclear shadowing effect pose a weak influence on the K-factor.  相似文献   

6.
The effective light-cone Harniltonian is extended to include the SU(3) flavor mixing interaction besides the confining potential. Solving the coupled J = 0 mass eigen equations for the up, down, and strange quark components numerically, the masses of π^0 and η, their radial wave functions, and rms radii are obtained in agreement with the experimental data.  相似文献   

7.
The spatially-dependent mass Dirac equation is solved exactly for attractive scalar and repulsive vector Coulomb potentials,including a tensor interaction under the spin and pseudospin symmetric limits.Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ.Some numerical results are also given,and the effect of tensor interaction on the bound states is presented.It is shown that tensor interaction removes the degeneracy between two states in the spin doublets.We also investigate the effects of the spatially-dependent mass on the bound states under spin symmetric limit conditions in the absence of tensor interaction.  相似文献   

8.
Here an asymptotic study to the N-dimensional radial Schrdinger equation for the quark-antiquark interaction potential employing asymptotic iteration method via an ansatz to the wavefunction is carried out. The complete energy spectra of the consigned system is obtained by computing and adding energy eigenvalues for ground state, for large " r" and for small " r". From this analysis, the mass spectra of heavy quarkonia is derived in three dimensions. Our analytical and numerical results are in good correspondence with other experimental and theoretical studies.  相似文献   

9.
We present an efficient approach to study the spectra and eigenstates for the model describing six multiphotonprocesses in the presence of bosonic modes without using the assumption of the Bethe ansatz. The exact analyticalresults of all the eigenstates and eigenvalues are in terms of a parameter A for a class of models describing thesix-mode multiphoton processes. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.  相似文献   

10.
Based on the flux tube model, the effects of the confining potentials of different configurations, namely the △-type and the Y-type, on the spectra of baryons are studied on SUSF(6) basis. The baryon spectra are obtained in a unified manner. Our result shows that by employing either the △-mode or the Y-mode confining potential, one can achieve reasonable baryon spectra. The △-mode may be mostly effective for the short- and medium-distances, while the Y-mode may offer more contributions to the spectra for long-distances. Although the binding energies in baryon spectra may deviate by a few to several tens MeV for different modes, it is hard to determine either one to be dominant by simply evaluating the baryon spectra. One may need to invoke the baryon decay process to make further judgement.  相似文献   

11.
求解各类截面波导的本征方程,一直是导波光学研究的焦点问题。提出用内切圆和外接圆截面波导逼近正多边形截面波导的方法,把正多边形截面分为三个部分:内切圆以内,外接圆以外,以及介于它们之间的第三部分。根据各边界处电磁场切向分量相等的条件,得到了正多边形截面波导的传播方程和TE0n各模式的截止条件,在所给定的截面条件下,得出可以容纳的TE波模式数为22个。  相似文献   

12.
By transforming a 1D second‐order linear oscillator into a 2D first‐order polar motion differential equation, it can be shown that the finite smoothness (i.e., the presence of jump in finite order derivatives) of the applied Newtonian forcing constitutes the sufficient and necessary condition for instantaneous excitation of free eigen‐mode. This condition can be met by forcing functions originated from turbulent and multiphase fluid motions. Sub‐macroscopic transition time associated with astatic elastic deformation limits the physical smoothness of the applied forcing for the Earth's polar motion. Eigen‐modes can also be excited by an infinitely smooth forcing that has a finite domain of non‐zero values. The eigen‐period serves as a macroscopic timescale to characterize the inertia of a linear oscillator. If a zero mean irregular forcing of finite smoothness exhibits a high degree of randomness and the timescale is much shorter than the eigen‐period, then for negligible damping the eigen‐waveform will increase in proportion to the squareroot of time, while the waveform distortion is statistically a constant. As a result, the pattern of distinctive eigen‐oscillation will dominate the forced solution for longer enough duration.  相似文献   

13.
An original cells for testing parameters of magnetodielectric materials are proposed. A rigorous electodynamic models for microwave signal transmission through such cell containing a sample being tested have been constructed. It has been found that maximum transmission coefficients are observed at frequencies of eigen and quasi-eigen modes depending on selected regime of the cell. Numerous experiments prove that the test cell in quasi-eigen mode regime is essentially more sensitive than in eigen one.  相似文献   

14.
坐标算符本征矢的表示与不对称投影算符的积分   总被引:2,自引:0,他引:2       下载免费PDF全文
李体俊 《物理学报》2008,57(7):3969-3972
借助于粒子数算符的本征态和坐标算符函数的本征方程,把坐标算符的本征矢〈f(x)|表示为一个算符对坐标本征矢〈x|的作用.由此,把不对称的坐标投影算符转换为对称的坐标投影算符,再利用坐标本征矢的完备性,给出不对称坐标投影算符的积分. 关键词: 本征矢 算符的积分 本征方程 完备性  相似文献   

15.
The present study investigates the peristaltic flow of couple stress fluid in a non-uniform rectangular duct with compliant walls.Mathematical modeling is based upon the laws of mass and linear momentum.Analytic solutions are carried out by the eigen function expansion method under long-wavelength and low-Reynolds number approximations.The features of the flow characteristics are analyzed by plotting the graphs of various values of physical parameters of interest.Trapping bolus scheme is also presented through streamlines.  相似文献   

16.
微加工薄膜变形镜本征模分析   总被引:2,自引:0,他引:2       下载免费PDF全文
 介绍了变形镜本征模的构造过程及其特点,分析了从荷兰OKO公司购买的37单元微加工薄膜变形镜的本征模,并用前65阶Zernike多项式分析微加工薄膜变形镜的37阶本征模的特性。搭建了以微加工薄膜变形镜作为波前校正器、变形镜本征模为波前复原控制算法以及高分辨率Shack-Hartmann波前传感器为波前探测器的自适应光学实验系统。实验结果表明:变形镜本征模可以实现模式筛选,也可作为自适应光学系统的波前复原算法。  相似文献   

17.
将小波变换用于处理人体行走时产生的加速度信号.利用离散小波变换的多尺度、多分辨率特性对原始加速度信号进行尺度分解,在对小波基以及分解尺度进行合理选取后准确地从加速度信号中提取出隐藏的步态节律.与利用阈值法直接对原始加速度信号提取峰值的算法比较后发现:利用小波分解得到与步态节律相关的特征尺度后再进行峰值检测能显著地提高信号峰值的检出率;即使当原始信号存在较严重的噪声干扰时,该方法也能保证所提取出的步态序列的准确性.这对于步态序列的后续分析具有至关重要的意义.研究表明,离散小波变换是一种有效的提取步态节律的方 关键词: 小波变换 步态序列 峰值检测 特征尺度  相似文献   

18.
用特征矩阵法计算光子晶体的带隙结构   总被引:123,自引:0,他引:123       下载免费PDF全文
王辉  李永平 《物理学报》2001,50(11):2172-2178
讨论了利用特征矩阵计算一维光子晶体的光子带隙结构的方法.利用此方法计算了不同介电常量、不同几何结构以及掺杂的晶体结构的带隙特征,并推广至介质介电常量ε随入射光波频率ω变化的情况. 关键词: 光子带隙 特征矩阵 缺陷态  相似文献   

19.
研究了利用小波分析从浮游植物吸收光谱中提取赤潮藻类特征光谱信息的技术。其中应用了13组单种培养的赤潮藻类的吸收光谱,这些吸收光谱对应的藻类属于4个门,6个属和7个种。首先,对13组吸收光谱数据进行了5级一维小波分析。低频的第5级分量对应于对藻类检测无用且量值较大的背景信息,高频分量的第1-2级为随机噪声,其他高频分量(第3级到第5级)则是对藻类检测有用的信息(或称为特征光谱)。另外,为了检验小波分析在提取特征光谱中的性能,文章利用聚类统计分析方法对提取的13组特征信息进行了聚类。聚类结果显示,13组吸收光谱被正确地进行了分类,这验证了小波分析在提取藻类特征光谱中的有效性。  相似文献   

20.
加权支持向量机回归算法,几乎都是以样本输入空间中的一个重要特征量的函数来确定权值,造成了在高维特征空间中作回归可能存在较大误差。针对这一问题,提出利用高维特征空间中的欧基里德距离来确定权值的方法,构造了一种改进的加权支持向量机回归算法,并将其应用到电子器件高功率微波易损性评估中。仿真结果表明:该方法具有比模糊神经网络法、标准支持向量机回归算法和一般的加权支持向量机回归算法更高的预测精度。由于增加了权值的计算过程,相对于标准支持向量机回归和模糊神经网络方法,该方法的效率较低,但与一般的加权支持向量机回归算法相当。  相似文献   

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