The R-matrix theory

By P. Descouvemont, Daniel Baye. 2010

325 citations recorded by the source corpus.

The different facets of the R-matrix method are presented pedagogically in a general framework. Two variants have been developed over the years: (i) The ‘calculable’ R-matrix method is a calculational tool to derive scattering properties from the Schrödinger equation in a large variety of physical problems. It was developed rather independently in atomic and nuclear physics with too little mutual influence. (ii) The ‘phenomenological’ R-matrix method is a technique to parametrize various types of cross sections. It was mainly (or uniquely) used in nuclear physics. Both directions are explained by starting from the simple problem of scattering by a potential. They are illustrated by simple examples in nuclear and atomic physics. In addition to elastic scattering, the R-matrix formalism is applied to inelastic and radiative-capture reactions. We also present more recent and more ambitious applications of the theory in nuclear physics.

Subfields: Condensed Matter Physics, Geochemistry and Petrology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/dff186ccdc0ffe5c722d6c73df152a77617e2e09

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

Microscopic clustering in light nuclei (2017, background): “More than 20 years after the 3α OCM, GCM, and RGM studies mentioned, the Hoyle state was reconsidered in a new light by Tohsaki et al. (2001).”
Solar fusion cross sections II: the pp chain and CNO cycles (2010, methodology): “However, a reanalysis based on an R-matrix calculation by Angulo and Descouvemont (2001) indicated that the strength of the ground state transition in Schröder et al. (1987), Sgs1 14(0)=1.55 keV b, had been significantly overestimated, and should be reduced to 0.08 keV b.”