Partial wave analysis of decays with arbitrary spins

In this paper, we propose a method to construct the decay amplitudes in the orbital ($L$) and spin ($S$) coupling scheme for particles with arbitrary spins. For the $1\to 2$ decay with only massive particles involved, the angular dependence is completely encoded in the angular momentum part, and the spins of daughter particles are coupled in the rest frame of the mother particle, which contributes only a constant factor. For the sequential decay, the total amplitude is constructed by the two $1\to2$ amplitudes evaluated in the rest frame of their own mother particles, and then they are transformed to the common frame, usually chosen as the laboratory frame, by certain Lorentz transformations. In this way, it is easy to add the amplitudes of possible different decay chains coherently. If massless particles show up in the final states, the polarizations are expressed in helicity basis and the amplitudes are modified correspondingly.Comment: 12 pages, 0 figure

Research on the infiltration of environmental protection consciousness in the teaching of chemistry teachers' specialty

As a chemistry teacher, this paper studies the recycling of experimental drugs and the treatment of three wastes in the middle school chemical demonstration experiment from the perspective of environmental protection. The concept of experimental environment-friendly was emphasized, and the concept of environmentally friendly chemistry and green chemistry education was established, and this concept into the future chemistry teaching of middle school was put. In this way, it achieves the training goal of chemists and environmental education functions, and also achieves the penetration of environmental protection awareness in middle school chemistry teaching. Keywords Environmental protection awareness; chemistry teacher major; environmentally sound chemical education; three waste treatment DOI: 10.7176/JEP/10-6-1