  Investigation of decay and scattering processes of particles in a vortex
state offers a novel and promising approach for probing particle structure. Our
study reveals distinct properties of vortex neutron decay, which deviate from
those of classical plane-wave neutron decay. We present the energy-angle
distributions of the final-state electron and antineutrino in unpolarized
vortex neutrons, as well as angle distributions integrated over their energies.
Notably, we provide theoretical calculations of the decay behavior of neutrons
with varying vortex cone angles and initial energies. We propose that
identifying the vortex state of the initial neutron can be achieved by
analyzing the angular and energy distributions of the final-state particles,
introducing new degrees of freedom for studying weak interactions and neutron
decay kinematics that have been previously overlooked in particle physics. This
timely investigation takes advantage of recent advancements in vortex neutron
preparation and analysis, opening up new avenues for exploring the fundamental
properties of matter.
