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The Statistics of the Number of Neutron Collisions prior to Absorption

Sara A. Pozzi ; Imre Pázsit (Institutionen för teknisk fysik, Nukleär teknik)
Nuclear Science and Engineering (ISSN 0029-5639). Vol. 153 (2006), 1, p. 60 - 68.
[Artikel, refereegranskad vetenskaplig]

We propose a simple analytical model to describe the statistics of the number of collisions undergone by fast neutrons during slowing down until they are absorbed. We assume that the moderator is homogeneous and account for scattering and absorption, but do not consider thermalization. Although the problem cannot be solved in a compact form, a simple recurrent formula provides the solution in a very transparent way. The model can be readily evaluated numerically, and the results are in excellent agreement with the corresponding Monte Carlo simulations. Both the mean number and the variance of the number of collisions are calculated. The results are discussed and compared with the classical case of neutron slowing down to or past a given energy in a moderating medium without absorption.

Nyckelord: Neutron slowing down, collision number, scatering, absorption

Denna post skapades 2006-08-25. Senast ändrad 2014-09-02.
CPL Pubid: 21748


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Institutioner (Chalmers)

Institutionen för teknisk fysik, Nukleär teknik (2006-2015)


Övrig teknisk fysik

Chalmers infrastruktur