Nuclear Science and Engineering / Volume 42 / Number 3 / December 1970 / Pages 257-259
Technical Paper / dx.doi.org/10.13182/NSE70-A21214
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The equivalence relation for the calculation of resonance capture employs a modified rod radius to account for inaccuracies in the Wigner rational approximation of the probability of escape from the rod. In this paper we extend older work to derive a correction to the mean chord length which depends on the peak resonance cross section, the potential scattering, and the rod radius. Such a formula represents a useful compromise between use of the less accurate but computationally convenient equivalence relation and accurate but computationally complex methods. By fitting the radius modifier over a wide range of values, the following representation is found: