Geodesic
On the coefficient of absorption of ultracold neutrons in a~medium bounded by a~rough surface
Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 3, pp. 425-430

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Absorption of ultra-cold neutrons by the trap walls is considered with, taking into account the non-smooth character of the boundary vacuum – medium. It the framework of the point scatterer-model, imitating a separate non-smooth piece of the surface, it is shown that the deviation of the boundary surface from an ideal form leads to decreasing of the absorption coefficient $W$ of the ultra-cold neutrons. The correction $\Delta W/W_{\scriptsize{ ideal}}$ in practically interesting cases is of the order of several percents. 
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     author = {A. V. Stepanov},
     title = {On the coefficient of absorption of ultracold neutrons in a~medium bounded by a~rough surface},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
     year = {1975},
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A. V. Stepanov. On the coefficient of absorption of ultracold neutrons in a~medium bounded by a~rough surface. Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 3, pp. 425-430. http://geodesic.mathdoc.fr/item/TMF_1975_22_3_a15/