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Acta Physica Sinica

Quantum theory of neutron double-slit diffraction

Xiao-Jing Liu, Baijun Zhang, Haibo Li, Liu Bing, Chunli Zhang, Guo Yi-Qing, Bingxin Zhang, (1)吉林师范大学物理学院，四平 136000; (2)中国科学院高能物理研究所，北京 100049

Published Jan 1, 2010• 0 citations
Publisher

Abstract

By solving Schrdinger equation exactly, we obtain the neutron wave function in the slit. With the Kirchhoff’s law, we obtain the neutron diffraction function. Finally, we obtain the mathematical relation between the relative diffraction intensity of neutron double-slit diffraction and the diffraction position. The calculation result is in accordance with the experimental data.

DOI
10.7498/aps.59.4117

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By solving Schrdinger equation exactly, we obtain the neutron wave function in the slit. With the Kirchhoff’s law, we obtain the neutron diffraction function. Finally, we obtain the mathematical relation between the relative diffraction intensity of neutron double-slit diffraction and the diffraction position. The calculation result is in accordance with the experimental data.
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The phenomena of electron,neutron,atomic and molecular diffraction were researched by many experiments in recent year and these experiments were explained by various theory.In this paper,we study the double-slit diffraction of neutron with an approach of quantum mechanics at frist.We find some new results: When slit width a and slit distance d is the ratio of(a+d)/a=n(n=1,2,3,…),order n,2n,3n,… are missing in diffraction pattern;When the ratio of(a+d)/a≠n(n=1,2,3,…),there isn't missing order in diffraction pattern;The length of slit b only affects the diffraction intensity while the thickness c not only affects the intensity,but also changes the missing order in diffraction patterns.