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Description
Quasi-plane-wave beams of elementary particles are the simplest to produce and control. Therefore, calculating decay width and scattering cross-sections for particles with defined momenta remains a relevant and important task.
More complex types of beams can be constructed, such as twisted or vortex beams. In such beams the projection of the momentum onto the beam's propagation direction is well-defined and is typically the dominant component; they are monochromatic. A distinctive feature of these beams is a presence of a non-zero component of the system's orbital angular momentum projection onto the propagation direction. This leads to an azimuthal phase dependence in the plane transverse to the beam's propagation direction. Examples of such beams include Bessel and Laguerre-Gauss beams.
The width of muon weak decay has been calculated in Born approximation for different polarisation beam states of vortex muon and neutron. The analysis of the final electron energy distribution function and electron angular distribution function has been carried out.
