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Resonances in the R-Matrix Method

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Abstract

The R-matrix method is widely used in scattering calculations. We present a simple extension that provides the energy and width of resonances by computing eigenvalues of a complex symmetric matrix. We briefly present the method and show some typical applications in two- and three-body systems. In particular, we discuss in more detail the \(^6\)He and \(^6\)Be three-body nuclei (\(\alpha +n+n\) and \(\alpha +p+p\), respectively). We show that large bases are necessary to reach convergence of the bound-state or resonance properties.

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Acknowledgements

This work was supported by the Fonds de la Recherche Scientifique - FNRS under Grant Numbers 4.45.10.08 and J.0065.22. It benefited from computational resources made available on the Tier-1 supercomputer of the Fédération Wallonie-Bruxelles, infrastructure funded by the Walloon Region under the grant agreement No. 1117545.

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  1. Physique Nucléaire Théorique et Physique Mathématique, C.P. 229, Université libre de Bruxelles (ULB), 1050, Brussels, Belgium

    Pierre Descouvemont

  2. Physique Quantique, C.P. 165/82, Université libre de Bruxelles (ULB), 1050, Brussels, Belgium

    Jérémy Dohet-Eraly

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  1. Pierre Descouvemont
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Descouvemont, P., Dohet-Eraly, J. Resonances in the R-Matrix Method. Few-Body Syst 65, 9 (2024). https://doi.org/10.1007/s00601-023-01876-z

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