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zeroth-order
相关语句
  零阶
    The Zeroth-order Bessel Function and Nondiffraction Beams
    无衍射光束与零阶贝塞尔函数
短句来源
    When higher-order correction terms are added to the zeroth-order static solution, the interpretation of the data is improved.
    当在零阶静态解上加以高阶解后,情况得以改善。
短句来源
    Applying them to the study of the electron dynamics in the intense laser pul se field, we found that as long as ω 0t 0>20, the zeroth-order approxima tion (long pulse approximation) is adequate for describing the interaction.
    另外对电子在超短高斯脉冲一阶修正场中的动力学特性研究发现 :对于ω0 t0 >2 0的情况 ,零阶修正场可以正确地描述电子被光场加速的特性 ;
短句来源
  “zeroth-order”译为未确定词的双语例句
    Experiment Research of Zeroth-order Diffraction Efficiency of 80 mm×80 mm Color-separation Grating
    80 mm×80 mm衍射光栅零级衍射效率实验研究
短句来源
    In Lax's study, he found that the paraxial result is the zeroth-order solution of Maxwell's equations when the fields are expanded in the powers of an expansion parameter f, which is the ration of the beam waist and the so-called diffraction length.
    Lax从麦克斯韦方程组出发,将电场分量展开为小参量f=1/kω_0的无穷幂级数的形式(k为光波数,ω_0为光束束腰宽度)。
短句来源
    The zeroth-order nuclear potential is taken tobe Woods-Saxon potential. The non-spherical symmetric part V_1 of the nuclear potential induced by the vibration of the target nucleus is considered as a perturbation.
    考虑了核力势和库仑势,零级近似核力势取为Woods-Saxon势,由靶核振动引起的核力势的非球对称部分V_1作为微扰。
短句来源
    In this article some Feynman rules in the method of collectivc bag-quark current are given, and, by use of these rules, the zeroth-order transition matrix elements of various photon-hadron processes are obtained.
    本文给出了整体口袋-夸克流方法的一些费曼法则,并利用这些法则得到了一系列光子-强子过程的零级跃迁矩阵元。
短句来源
    It has been found that the characteristic equations can be expressed as rapidly converging infinite series of functions of the mode refractive index. Rather accurate results can be obtained by only taking the zeroth-order approximation.
    精确的模式色散方程是收敛很快的模式折射率的无穷函数项级数,仅取零级近似便能得到相当精确的结果。
短句来源
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  zeroth-order
In the theory of superfluidity and superconductivity, a jump of the free energy was discovered theoretically and was naturally called a zeroth-order phase transition.
      
The only term with unambiguous coefficient is the zeroth-order Nambu-Goto term.
      
The configurations of extra holographically reconstructed images of the diffuse screen (conjugate image, halo, and zeroth-order spot) are analyzed.
      
Analysis of the images projected shows that the luminance of the zeroth-order spot, while relatively low, should be diminished in one way or another.
      
The Breit equation as a zeroth-order approximation for calculation of the bound-state energy
      
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Two additional postulates of the eightfold way are suggested on the basis of the analysis of experiments: (1) The nonlinear contribution of the isospin T and the hyper-charge Y to the mass-splitting is independent of the spin-parity of multiplets; (2) In all cases where the octet-singlet mixing takes place, nine particles are grouped into a reducible nine-dimensional representation and are represented by a 3X3 matrix. The trace of this matrix appears neither in the zeroth order term of the mass relation nor...

Two additional postulates of the eightfold way are suggested on the basis of the analysis of experiments: (1) The nonlinear contribution of the isospin T and the hyper-charge Y to the mass-splitting is independent of the spin-parity of multiplets; (2) In all cases where the octet-singlet mixing takes place, nine particles are grouped into a reducible nine-dimensional representation and are represented by a 3X3 matrix. The trace of this matrix appears neither in the zeroth order term of the mass relation nor in the production and decay interactions of particles. On the basis of these postulates, the classification of the strongly interacting particles, especially the classification of the scalar mesons and the baryon resonances with higher spins, is further discussed. Some predictions are obtained and compared with experiments. The predictions of scalar mesons are discussed in detail and are compatible with experiments. Finally, the results and the implications of the classification are discussed.

本文从分析实验出发,对SU_3羣八重态理论提出了两个补充假定:(1)同位旋T和超荷Y对质量分裂的非线性贡献与多重态的自旋宇称无关;(2)对所有一维表示与八维表示相混的情形,九个粒子构成一个可约的九维表示,用有迹的3×3矩阵代表。该矩阵的阵迹在质量公式零级项和粒子产生及衰变相互作用中都不出现。在这两假定基础上,进一步讨论了强相互作用粒子的分类,特别是标量介子和具有较高自旋超子共振态的分类,得到了某些预言,并和实验作了比较。较详细地讨论了对标量介子的预言,所得结果与实验符合。最后对分类的结果进行了讨论。

The quadrupole-octupole two-phonon excitations in inelastic scattering (α, α') at energies of 31 and 43 MeV are studied with DWBA method. Both- nuclear potential and Coulomb potential are considerd. The zeroth-order nuclear potential is taken tobe Woods-Saxon potential. The non-spherical symmetric part V_1 of the nuclear potential induced by the vibration of the target nucleus is considered as a perturbation. In this calculation we onlykeep second-order term of the collective variable α_(λv) of nuclear...

The quadrupole-octupole two-phonon excitations in inelastic scattering (α, α') at energies of 31 and 43 MeV are studied with DWBA method. Both- nuclear potential and Coulomb potential are considerd. The zeroth-order nuclear potential is taken tobe Woods-Saxon potential. The non-spherical symmetric part V_1 of the nuclear potential induced by the vibration of the target nucleus is considered as a perturbation. In this calculation we onlykeep second-order term of the collective variable α_(λv) of nuclear surface for V_1 and first-order of V_1 for the total initial wave function ψ_i~((+)) In distorted wave Green function, the absorptive channels as intermediate states are neglected. Furthermore, in the two-phonon excitation mechanism, it is assumed that the contribution of direct two-phonon excitation is important and the contribution of multiple two-phonon excitation is of less importance. The agreement between the theoretical and experimental angular distributions is reasonably well. It follows front this agreement that the 3.72 and 4.19 MeV levels in ~(64)Zn may be quadrupole-octupole two-phonon exciation levels abd the J~π of these levels may be 3~- and 5~- respectively.

本文用DWBA方法对两种入射能量E_α=31和43 MeV的~(64)Zn(α,α′)~(64)Zn~*非弹性散射中可能的四极-八极双声子激发进行了研究。考虑了核力势和库仑势,零级近似核力势取为Woods-Saxon势,由靶核振动引起的核力势的非球对称部分V_1作为微扰。在计算中,V_1取到核表面集体坐标α_(λν)的二级项,总初态波函数Ψ_i~(+)取到V_1的一级项,在扭曲波格林函数中略去了作为中间态的吸收道。此外在双声子激发机制中,假设直接双声子激发的贡献是主要的,相继双声子激发的贡献是次要的。所得的理论角分布与实验符合得相当好。由这种符合可推知~(64)Zn的3.72和4.19 MeV能级是四极-八极双声子激发能级,其角动量和宇称分别为3~-和5~-。

The (56,0~+), (70,1~-) and (56,2~+) baryon mass Spectra are calculated in a diquark-quark model. The zeroth order potential between a diquark and a quarks is Coulombic at short distances and linearly confininq at large distances. Spliting between various states are calculated by using the Breit-Fermi potential due to One gluon exehange (OGE) and the Thomas term generated by the scalar confining interaction. The results show that when appropriate values for parameteres in the model are chsen, the observed spin-orbit...

The (56,0~+), (70,1~-) and (56,2~+) baryon mass Spectra are calculated in a diquark-quark model. The zeroth order potential between a diquark and a quarks is Coulombic at short distances and linearly confininq at large distances. Spliting between various states are calculated by using the Breit-Fermi potential due to One gluon exehange (OGE) and the Thomas term generated by the scalar confining interaction. The results show that when appropriate values for parameteres in the model are chsen, the observed spin-orbit forces can be properly supressed for the P and D wave states and good agreement between the model and the data can be obtained.

本文用双夸克——夸克模型计算了(56,0~+),(70,1~-)和(56,2~+)重子质量。双夸克与夸克之间零级位势取短程库仑势与长程线性禁闭势之和。态的分裂由单胶子交换得到的Breit-Fermi势和标量禁闭势相应的托马斯项共同引起。结果表明,适当选取参数,可以使P波态和D波态的自旋轨道力的贡献都得到适度的压低,从而导致理论值与实验值较好的符合。

 
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