超子衰变产物的角分布

假设了一定的相互作用哈密顿量,计算了自旋为1/2。而服从狄拉克波动方程的粒子衰变产物的角分布,计算了自旋为3/2而服从赖列泰—许温格波动方程的粒子的衰变产物的角分布。讨论了宇称守恒相互作用和宇称不守恒相互作用强度之间的比例和不对称系数α的关系。指出利用费曼—盖尔曼的普适费米相互作用推导得的Λ超子衰变产物的角分布不对称因子和实验数值一致。指出假使在重正化以后矢量耦合和赝矢量耦合常数不再相等,那末不对称因子的数值可能有相当大的改变。因此准确测定α的数值有助于费曼—盖尔曼普适费米相互作用的重正化效应的研究。服从赖列泰—许温格波动方程,自旋为3/2的粒子衰变产物和实验上得到的的Λ超子衰变产物的角分布不可能符合。这和李政道和杨振宁的一般结论一致。

ANGTJLAR DISTRIBUTION OF THE DECAY PRODUCTS OF HYPERONS

By assuming various forms of interaction Hamiltonian the angular distribution of the decay products of spin 1/2 particle obeying the Dirac equation and that of spin 3/2 particle obeying Rarita-Schwinger equation are calculated. The ratio of the strength of parity conserving and the parity non- conserving interaction on the one hand and the asymmetry parameter α on the other hand is discussed. It is pointed out, that if the vector and pseudo-vector coupling in the universal Fermi weak interaction proposed by Feynman and Gell-Mann are exactly equal to each other, then this theory gives an asymmetry parameter α of Λ particle decay, which is consistent with the experimental result. If the ratio of the square of these two coupling constants is 1:1.55 as suggested by β-decay experiments, then the asymmetry parameter derived from this theory is -0.97, which is already on the margin of the experimental data. The angular distribution of the decay products of spin 3/2 particle obeying the Rarita-Schwinger wave equation cannot be made agree with the experimental result of the ∧ particle decay, a conclusion, which was first pointed out by Lee and Yang by using general arguments.