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partial waves
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  分波
     The results show that the vibrational excitation(0→5,1→5) cross sections are converged using 18 vibrational states and 12 partial waves.
     研究表明在振动密耦合计算中使用18个振动波函数和12个分波数目,可以得到收敛的0→5,1→5等高激发散射的积分和微分截面.
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     In this part, method of partial waves and phase-shift analysis are brought into the theory.
     Chung理论,建立了相对协变的螺旋振幅分析方法,把分波法和相移分析纳入理论,进行统一表述。
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     According to the solution for plane wave and the solution for spherical wave of the Helmhotz equation, a direct calculation of the plane wave's expansion equation in partial waves under the condition the central-field and elastic scattering, and the its significance in Physics are introduced herein.
     由亥姆霍兹方程的平面波解和球面波解,直接证明了平面波在中心力场弹性散射条件下的分波展开式,并阐明了其物理意义。
     According to the solution for plane wave and the solution for spherical wave of the Helmhotz equation,a direct calculation of the plane wave′s expansion equation in partial waves under the condition the central-field and elastic scattering ,and the its significance in Physics are introduced herein.
     由亥姆霍兹方程的平面波解和球面波解 ,直接证明了平面波在中心力场弹性散射条件下的分波展开式 ,并阐明了其物理意义
短句来源
     The π,ρ and ω-meson exchange GCM potentials of central force and NN scattering phase shifts for all scattering partial waves are given.
     给出了赝标π介子和矢量 ρ和ω介子的GCM中心力的交换势和NN散射 14个分波的相移 .
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  “partial waves”译为未确定词的双语例句
     It is shown that, for the infinitely deep bore hole with single uniform rock layer outside it, the so-called "head wave" with maximum phase velocity v_(zm)=c_(2) exists only for characteristic frequencies as shown in formula (18), and partial waves with phase velocity v_(z) > c2 and c2 > vz > b2 are forbidden.
     分析表明,对于井外只有单一均匀岩层且无限深的井,仅对如(18)式所示的特征频率成分才存在具有轴向传播最大相速度v_(zm)=c_2的所谓“首波”;
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     The independent atomic model (IAM) together with partial waves and the additivity rule have been used to study the electron molecule scattering at intermediate and high energies. But IAM neglects the multiple scattering and assumes that the consistent atoms in molecule were free and the interactions were not important.
     独立原于模型IAM(Independent Atomic Model)和可加性规则AR(Additivity Rule)是一个很好的适用于电子与分子中高能正碰撞的有效方法。
短句来源
     In the High-energy region,we calculate the electron and Helium in e lestic scattering section under PWBA,obtaining the transition matrix where an ar bitray complex wave fan-ction(1s-2s)including the contribution from all partial waves
     在高能入射电子的情况下 ,利用玻恩近似计算了氦子的激发 ( 1 S— 2 S)截面 ,得到了跃迁矩阵元的解析表达式。
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     The genetic correlation of all partial waves with duration of estrus was negative which supported that the progesterone suppresses the estrus.
     各谐波与发情持续期均为负遗传相关,肯定了孕酮对发情症状的抑制作用。
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     The genetic correlation of 3rd, 5th partial waves were stronger than others, but selection for 5th partial wave would make high responses than the 3rd wave, because the genetic correlation of 3rd partial wave with litter size and litter size alive was positive.
     但以3级和5级谐波相关强度最大,选择反应最强。 由于3级谐波与产仔数及产活仔数为正遗传相关,故应加大对5级谐波的选择强度。
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  相似匹配句对
     On the Partial Vibrant State of All the Reflectve Waves
     关于全反射波偏振态的讨论
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     Solitary waves of a nonlinear partial differential equation
     一个非线性偏微分方程的孤立波
短句来源
     POWER WAVES
     (威力波)横空问世
短句来源
     PARTIAL DIPLOMYELIA
     部分的二重脊髓
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     Radio Waves
     无线电波
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Starting from the dispersion relation we have discussed low energies π-N scattering amplitude with isospin positive part. It is shown that for P_1/2~(+)-wave, the results evaluating from CGLN formula are essentially in agreement with experiments. But for S-wave, when comparing with experiments, even the sign of CGLN results is wrong. Further they are increasing as energy very rapidly that exceeds the limit allowed by the unitary condition. From analysis it is shown that one cannot solve this problem...

Starting from the dispersion relation we have discussed low energies π-N scattering amplitude with isospin positive part. It is shown that for P_1/2~(+)-wave, the results evaluating from CGLN formula are essentially in agreement with experiments. But for S-wave, when comparing with experiments, even the sign of CGLN results is wrong. Further they are increasing as energy very rapidly that exceeds the limit allowed by the unitary condition. From analysis it is shown that one cannot solve this problem and at the same time keep the agreeing of the calculated P_1/2~(+)wave results with the experiments by introducting a π-π S-wave interaction. But alternatively if we attacked from the π-N S-partial wave dispersion relation with one subtraction, then the results agree with the experiments fairly well. So it is likely that the π-π S-wave interaction plays an unimportant role in it.

用色散关系讨论了低能π-N散射振幅T~(+)的部分、指出对P_(1/2)波的散射,用CGLN公式计算的结果基本上即已符合实验,对于S波散射,用CGLN得的与实验值的符号都相反,且随q迅速增加而超过么正条件所允许的极限,经过分析指明不可能引入π-πS波作用来解决这个问题,而同时还能保持使P_(1/2)波与实验相符,但从“减去”(subtraction)一次的S波色散关系出发,则由此修改后的CGLN公式计算的结果就基本上与实验相符,而π-π作用看来对它们只起着细致的调节作用。

In this paper, a covariant partial wave analysis of interactions of two particles with low spin value is discussod. Covariant angular momentum operators and relativistic invariant angular quantum numbers are introduced. Using the commutation relations of the covaxiant orbital angular momentum operators and the fou-rdimensional relative momentum operators, the representatives of the covariant orbital angular momenta in the four-dimersional relative momentum representation are uniquely determined, and their...

In this paper, a covariant partial wave analysis of interactions of two particles with low spin value is discussod. Covariant angular momentum operators and relativistic invariant angular quantum numbers are introduced. Using the commutation relations of the covaxiant orbital angular momentum operators and the fou-rdimensional relative momentum operators, the representatives of the covariant orbital angular momenta in the four-dimersional relative momentum representation are uniquely determined, and their eigenfunctions are obtained. In the case of particlcles with 1/2 spin and photons, rising the Dirac's equations and the Maxwell's equations, spin operators are defined as the constitutions of the covariant total angular momentum operators. Covariant partial wave analyses for scattering of two particles with O, 1/2 spin, and photoproduction of pious on nucleons are obtained, invariant amplitudes are expressed in terms of relativistic invariant quantities. Usual angular quantum numbers and cosines of scattering angles in the center-of-mass system are replaced by the relativistic invariant angular quantun numbers and scalar products of initial and final four-dimensional relative momenta, respectively. Modulus of total four-momentun take roles as energies in the center-of-mass system in the old noncovariant partial wave analysis. Our results can remove the difficulty that the formalism of angular momontum is not suitable when seeka relativistic invariance in the study of a scattering process through the partial wave expansion.

本文討論低自旋情况下的两粒子相互作用的协变的分波分析問題。引入了协变的角动量算符和相对論不变的角量子数,利用协变的軌道角动量算符与四維相对动量算符的对易关系,唯一地定出了协变的軌道角动量算符在四維相对动量表象中的表示式和它的本征函数。在自旋1/2的粒子和光子的情况下,利用狄拉克方程和麦克斯威方程,定义了作为协变的总角动量組成部分的自旋算符,并求出了它們与协变的軌道角动量算符的耦合。对自旋0,1/2的粒子的散射和光致产生过程,作出了协变的分波分析,用四維不变量表出了不变振幅。通常的角量子数和质心系中散射角的余弦,現今換成了相对論不变的角量子数和始、末态中的四維相对动量(单位四維矢量)的标量积。非协变分波分析中质心系中的能量的作用,由四維总动量的模来代替。我們的結果消除了在利用分波分析研究散射过程时的角动量公式体系不便保持相对論不变形式的困难。

The partial wave analysis for the reaction x+N→π+π+N has been made, i. e., the general expressions for angular operators, which characterise the dependence of scattering marries on spin and directions of momenta have been given, in the case of any value of angular momenta. For the given energy and directions of momenta, it is showed that, by what observables one can reconstructs the scattering matrics uniguely. The ambiguity in phase shift analysis, which remains the differeutial cross section ivariant...

The partial wave analysis for the reaction x+N→π+π+N has been made, i. e., the general expressions for angular operators, which characterise the dependence of scattering marries on spin and directions of momenta have been given, in the case of any value of angular momenta. For the given energy and directions of momenta, it is showed that, by what observables one can reconstructs the scattering matrics uniguely. The ambiguity in phase shift analysis, which remains the differeutial cross section ivariant and satisfies the other physical conditions has been further discussed. Starting from the general conditions which should be satisfied by phase sbift, the correspedent Minami transformations have been obtained. It is also pointed out that, by what polarizations, the ambiguity can be eliminated. All the results in this paper can he extend to the preduction of other bosoms.

本文給出了反应π+N→π+π+N的分波分析,即在角动量为任意值的情形下,求出了决定散射矩陣对于动量方向与自旋之依賴关系的角算符的普遍表达式。对于給定的能量与动量方向,指出了何种观測量可以唯一地决定散射矩陣。进一步討論了保持微分截面不变与滿足其他物理要求的相移的不定性。从对散射矩陣的普遍要求出发,求出了相应的南氏变換。并指出測量何种极化可以消除相移的不定性。本文的所有結果同样适用于其他玻色子的产生过程。

 
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