Abstract:
In recent years, research on vortex state particles has emerged as a new direction in the field of particle physics, garnering significant attention from the academic community. Vortex state particles possess intrinsic orbital angular momentum (OAM), which allows for the possibility that various high-energy processes involving these particles may exhibit behavior that is fundamentally different from that of traditional "plane wave" particles. This characteristic contributes to a deeper understanding of the structure of composite particles and the fundamental nature of interactions. In this paper, we calculate the energy-angle distribution of the decay products (leptons) from vortex state \pi^- mesons and compare the results with those from the decay of plane wave state \pi^- mesons. The analysis shows that there are significant differences between the two cases. Compared to the plane wave state, the decay products of the vortex state \pi^- mesons exhibit a broader range of energy and angular distributions. This finding provides important experimental and theoretical insights into the role of vortex state particles in high-energy processes.