Shadow poles in the alternative parametrization of R-matrix theory

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ID: 272697
2021
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Abstract
As a trilogy, this first paper along with the authors' two companion articles introduces alternate approaches to standard $R$-matrix parametrization of nuclear cross sections. The authors present first evidence of so-called shadow poles in $R$-matrix theory for ${}^{134}$Xe. The number and location of shadow poles depends upon how one continues the $R$-matrix operators to complex wave numbers. The authors also establish a new pole parametrization of $R$-matrix cross sections, called the $w\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}d\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}w\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}d$ $m\phantom{\rule{0}{0ex}}u\phantom{\rule{0}{0ex}}l\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}p\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}l\phantom{\rule{0}{0ex}}e$ $p\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}m\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}z\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o\phantom{\rule{0}{0ex}}n$, which can be Doppler-broadened analytically. This averaging of cross sections over the thermal motion of target atoms is crucial as it ensures the stability of many nuclear reactors; yet, computing it is a major bottleneck. Doppler-broadened windowed multipole cross sections and their uncertainty can be stored and computed with breakthrough performance.
Reference Key
ducru2021physicalshadow Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Pablo Ducru;Benoit Forget;Vladimir Sobes;Gerald Hale;Mark Paris;
Journal physical review c
Year 2021
DOI
doi:10.1103/PhysRevC.103.064608
URL
Keywords

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