Resonance Scattering Treatment with the Windowed Multipole Formalism
Name
Resonance Scattering Treatment with the Windowed Multipole Formalism.pdf
Description
Published version
Size
9.42 MB
Format
Adobe PDF
Checksum (MD5)
bb6f98eb11ba9ae5cd44dc488085ebc7
Author(s)
Ridley, Gavin
Forget, Benoit
Burke, Timothy
Date Issued
March 3, 2024
Journal
Nuclear Science and Engineering
Publisher
Taylor & Francis
Citation
Ridley, G., Forget, B., & Burke, T. (2024). Resonance Scattering Treatment with the Windowed Multipole Formalism. Nuclear Science and Engineering, 198(3), 702–726.
Version
Final published version
Abstract
A new method for directly sampling the resonance upscattering effect is presented. Alternatives have relied on inefficient rejection sampling techniques or large tabular storage of relative velocities. None of these approaches, which require pointwise energy data, are particularly well suited to the windowed multipole cross-section representation. The new method, called multipole analytic resonance scattering, overcomes these limitations by inverse transform sampling from the target relative velocity distribution where the cross section is expressed in the multipole formalism. The closed-form relative speed distribution contains a novel special function we deem the incomplete Faddeeva function, and we present the first results on its efficient numerical evaluation.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1080/00295639.2023.2204810
