静止自旋为1/2的非Dirac粒子的电磁性质
Electromagnetic properties of non-Dirac particles with rest spin 1/2
摘要：
我们解决了一些问题的电磁形状因子的非狄拉克粒子与其余自旋1/2的解析描述。我们找到了矩阵反对称张量算子的一般结构。本文给出了真Lorentz群有限变换矩阵元的两个递推关系式，并给出了一类矩阵元的显式表达式。在双重对称场论中，我们讨论了粒子波矢分量的无穷连分式形式。我们表明，对于$Q^{2} \leq 0.5$（GeV/c）$^{2}$，其中$Q^{2}$是转移动量的平方，电磁形状因子，减少为$Q^{2}$增加，并接近实验观察到的质子可以得到没有明确引入内部粒子结构。
英文摘要：
We resolve a number of questions related to an analytic description of electromagnetic form factors of non-Dirac particles with the rest spin 1/2. We find the general structure of a matrix antisymmetric tensor operator. We obtain two recurrence relations for matrix elements of finite transformations of the proper Lorentz group and explicit formulas for a certain set of such elements. Within the theory of fields with double symmetry, we discuss writing the components of wave vectors of particles in the form of infinite continued fractions. We show that for $Q^{2} \leq 0.5$ (GeV/c)$^{2}$, where $Q^{2}$ is the transferred momentum squared, electromagnetic form factors that decrease as $Q^{2}$ increases and are close to those experimentally observed in the proton can be obtained without explicitly introducing an internal particle structure.
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