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On the Significant Enhancement of the Stern-Gerlach Effect for Neutron,
Diffracting in a Crystal at Bragg Angles Close to the Right One
V.V. Fedorov, V.V. Voronin, S.Yu. Semenikhin
AbstractA significant enhancement of any external force acting on a neutron during diffraction at Bragg angles close to pi/2 is discussed for the case of Laue diffraction and detailed description of the effect is given. Such enhancement is due, on the one hand, to the smallness of the Darwin width compared to the Bragg angle, which leads to the well-known diffraction gain of about 105, and, on the other hand, to a significant slowing down of the neutron in the
crystal at diffraction angles close to the right one, which can give an additional factor about 102 or more. Also discussed are the Kato trajectories for a diffracting neutron in a crystal and their "curvature" under the action of an external force. A simple derivation of Kato equations, describing these trajectories is given. As an example of such force we have considered the action on the neutron of a small gradient of the magnetic field. Taking into account the Bormann anomalous absorption effect, it is shown that the Stern–Gerlach effect will be
clearly manifested for diffracting neutrons even in a weak magnetic field gradient. The effect amplification factor for a neutron in a crystal (at Bragg angle of 82°) can reach a value of 107 compared to a neutron in a "free" space (when the crystal is removed from the setup) in the same field gradient. Experimental results are demonstrated, they are in a good agreement with the theory Proceedings of ISINN-29, JINR, E3-2023-58, Dubna, 2023, p.103-114
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