论文标题
旋转粒子的电磁多极结构:亚伯断层扫描案例
Electromagnetic multipole structure of a spin-one particle: Abel tomography case
论文作者
论文摘要
我们研究了三维(3D)和二维〜(2D)旋转粒子的电荷分布,从多产膨胀方面。由于2D和3D空间之间的几何差异,将3D电分布投射到Breit框架中的2D一,从而使四极分布对单极一体的影响产生了影响。因此,2D电荷分布变为自旋依赖性。这种效果应从洛伦兹提升引起的相对论效应中解决。我们首先根据角度依赖的ABEL转换在BREIT框架中提供2D和3D分布之间的连接。然后,我们提供微分方程,使我们能够将BREIT框架中的2D分布映射到无限动量框架中的2D分布。
We investigate the three-dimensional~(3D) and two-dimensional~(2D) charge distributions of a spin-one particle in terms of the multipole expansion. On account of the geometrical difference between 2D and 3D spaces, projecting the 3D electric distribution to the 2D one in the Breit frame brings about the influence of the quadrupole distribution upon the monopole one. Thus, the 2D charge distribution becomes spin-dependent. This effect should be sorted out from the relativistic effects arising from the Lorentz boost. We first provide the connections between the 2D and 3D distributions in the Breit frame in terms of the angle-dependent Abel transformation. We then provide the differential equations that enable us to map 2D distributions in the Breit frame to those in the infinite momentum frame.