Geodesic
Elimination of divergences in the problem of scattering of a beam of particles by a medium
Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 339-347 Cet article a éte moissonné depuis la source Math-Net.Ru

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Scattering of the beam of particles (neutrons) by a medium is considered. After the averaging according to the statistical mechanics rules, the cross-section of the process is represented in the form of the series including many-particle distribution functions. The series describes the scattering processes of arbitrary multiplicity. Disconnected parts of the distribution functions give rise to divergences. A method of the re-summation of the original series is proposed, which removes all the divergences completely. 
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     title = {Elimination of divergences in the problem of scattering of a~beam of particles by a~medium},
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V. L. Kuz'min. Elimination of divergences in the problem of scattering of a beam of particles by a medium. Teoretičeskaâ i matematičeskaâ fizika, Tome 31 (1977) no. 3, pp. 339-347. http://geodesic.mathdoc.fr/item/TMF_1977_31_3_a6/

[1] L. van Hove, Phys. Rev., 95 (1954), 249 | DOI | MR | Zbl

[2] V. I. Tatarskii, M. E. Gertsenshtein, ZhETF, 44 (1963), 676 | MR | Zbl

[3] D. Bedeaux, P. Mazur, Physica, 67 (1973), 23 | DOI

[4] D. W. Oxtoby, W. M. Gelbart, J. Chem. Phys., 60 (1974), 3359 | DOI

[5] Yu. N. Gnedin, A. Z. Dolginov, ZhETF, 45 (1963), 1136

[6] Yu. N. Gnedin, A. Z. Dolginov, ZhETF, 48 (1965), 548 | MR

[7] Yu. N. Gnedin, A. Z. Dolginov, A. I. Tsygan, ZhETF, 54 (1968), 491

[8] V. L. Kuzmin, Opt. i spektr., 40 (1976), 552

[9] V. L. Kuzmin, Opt. i spektr., 39 (1975), 546