FIZIKA B 18 (2009) 4, 195206
QUANTUM THEORY OF NEUTRON MULTIPLESLIT DIFFRACTION
XIANGYAO WU^{a}, BAIJUN ZHANG^{a}, XIAOJING LIU^{a},
CHUNLI ZHANG^{a}, BING LIU^{a},
YIQING GUO^{b}, YIHENG WU^{a}, YAN WANG^{a} and
QINGCAI WANG^{a}
^{a}Institute of Physics, Jilin Normal University,
Siping 136000, China
^{b}Institute of High Energy Physics, PO Box 918(3),Chinese Academy of
Sciences,
Beijing 100049, China
Received27 August 2008; Accepted 7
October 2009
Online 29 October 2009
We study neutron multipleslit diffraction with a quantum mechanical
approach. For the doubleslit diffraction, we obtain the following results: (1)
when the ratio (d+a)/a=n (n=1, 2, 3, ¼), orders n,
2n, 3n, ¼
are missing in the diffraction pattern. (2) When the ratio of (d+a)/a
¹ n (n=1, 2, 3,
¼), there isn't any missing order in the diffraction
pattern. For diffraction on N (N ³ 3) slits, we obtain the following results: (1) There are N2
secondary maxima and N1 minima between the two
principle maxima. (2) As the slit number N increases, the diffraction intensity
increases and the peak widths become narrower. (3) As the slit width increases,
the diffraction intensity increases and the pattern width becomes narrower. (4)
When the twoslit distance d increases, the number of principle maxima increases
and the pattern becomes narrower. (5) We find a new quantum effect that the slit
thickness c has a large effect to the multipleslit diffraction pattern. We
think all predictions in this work can be tested by neutron multipleslit
diffraction experiments.
PACS numbers: 03.75.Dg, 61.12.Bt
UDC 52656, 539.125
Keywords: matterwave, neutron multipleslit diffraction
