基本自旋3/2粒子的康普顿散射
Compton scattering off elementary spin 3/2 particles
摘要：
我们计算康普顿散射的基本自旋3/2粒子在最近提出的框架描述的基本高自旋场的基础上的投影到本征子空间的Casimir算子的庞加莱群。我们也计算这个过程中，在传统的Rarita-Schwinger形式主义。这两种形式主义产生正确的汤姆逊极限，但角分布和总截面的预测不同超过这一点。我们指出，自旋s = 0，1/2，1的目标的康普顿散射的正向平均平方振幅与能量无关，并且具有公共值4e^4。因此，在粒子的静止坐标系中，康普顿散射在向前方向上的微分截面与能量无关，并且与经典的平方半径一致。我们表明，这些属性也满足自旋3/2的目标在庞加莱投影形式主义，但不是由Rarita-Schwinger自旋3/2粒子。
英文摘要：
We calculate Compton scattering off an elementary spin 3/2 particle in a recently proposed framework for the description of elementary high spin fields based on the projection onto eigen-subspaces of the Casimir operators of the Poincare group. We also calculate this process in the conventional Rarita-Schwinger formalism. Both formalisms yield the correct Thomson limit but the predictions for the angular distribution and total cross section differ beyond this point. We point out that the average squared amplitudes in the forward direction for Compton scattering off targets with spin s = 0, 1/2, 1 are energy-independent and have the common value 4e^4. As a consequence, in the rest frame of the particle the differential cross section for Compton scattering in the forward direction is energy independent and coincides with the classical squared radius. We show that these properties are also satisfied by a spin 3/2 target in the Poincare projector formalism but not by the Rarita-Schwinger spin 3/2 particle.
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