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
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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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