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An Exact Solution of The Neutron Slowing Down Equation

Abstract

The slowing down equation for an infinite homogeneous monoatomic medium is solved exactly. The cross sections depend on neutron energy. The solution is given in analytical form within each of the lethargy intervals. This analytical form is the sum of probabilities which are given by the Green functions. The calculated collision density is compared with the one obtained by Bednarz and also with an approximate Wigner formula for the case of a resonance not wider than one collision interval. For the special case of hydrogen, the present solution reduces to Bethe's solution. (author)
Authors:
Stefanovic, D [1] 
  1. Boris Kidric Vinca Institute of Nuclear Sciences, Vinca, Belgrade (Yugoslavia)
Publication Date:
Jul 01, 1970
Product Type:
Miscellaneous
Report Number:
INIS-RS-1477
Resource Relation:
Other Information: 5 refs
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; ANALYTIC FUNCTIONS; CROSS SECTIONS; ENERGY DEPENDENCE; GREEN FUNCTION; NEUTRON SLOWING-DOWN THEORY; WIGNER SCATTERING
OSTI ID:
21100459
Country of Origin:
Serbia
Language:
English
Other Identifying Numbers:
TRN: RS08RB284110554
Availability:
Available from INIS in electronic form; Also available from the Institute of nuclear sciences Vinca
Submitting Site:
INIS
Size:
v. 41 5 pages
Announcement Date:
Dec 08, 2008

Citation Formats

Stefanovic, D. An Exact Solution of The Neutron Slowing Down Equation. Serbia: N. p., 1970. Web.
Stefanovic, D. An Exact Solution of The Neutron Slowing Down Equation. Serbia.
Stefanovic, D. 1970. "An Exact Solution of The Neutron Slowing Down Equation." Serbia.
@misc{etde_21100459,
title = {An Exact Solution of The Neutron Slowing Down Equation}
author = {Stefanovic, D}
abstractNote = {The slowing down equation for an infinite homogeneous monoatomic medium is solved exactly. The cross sections depend on neutron energy. The solution is given in analytical form within each of the lethargy intervals. This analytical form is the sum of probabilities which are given by the Green functions. The calculated collision density is compared with the one obtained by Bednarz and also with an approximate Wigner formula for the case of a resonance not wider than one collision interval. For the special case of hydrogen, the present solution reduces to Bethe's solution. (author)}
place = {Serbia}
year = {1970}
month = {Jul}
}