Neutron spin interference visibility in tunneling transmission through magnetic resonators

Numerical simulations on the spin interferometry in transmission through magnetic resonators of very cold neutrons are performed with three different approaches of the conventional plane wave theory, the Schrödinger wave-packet model with a Gaussian packet structure, and of the recently proposed de Broglie wave-packet solution. Experiments are also carried out with a very cold neutron spin interferometer at a high flux reactor. The experimental results in tunneling resonance transmission agree better with the calculated results of the de Broglie wave-packet solution.