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Cluster transfer reactions with the combined R-matrix and Lagrange-mesh methods

A tribute to Mahir Hussein

  • Regular Article – Theoretical Physics
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Abstract

We have recently applied the R-matrix method to transfer reactions in the distorted wave Born approximation (DWBA) framework. In our approach the wave function in the internal region is expanded in terms of Lagrange basis, which provides a fast and efficient way to compute the matrix elements. This paper is a short review of our work on transfer reactions. I discuss applications of our approach by considering the \(^{16}\)O(d, n)\(^{17}\)F and \(^{12}\)C(\(^7\)Li, t)\(^{16}\)O reactions, which are specific examples of neutron and \(\alpha \) transfer, respectively. In particular, I discuss the role of the remnant terms, post-prior form equivalence, peripherality of the reaction and sensitivity of the transfer cross sections to the bound state wave functions. Effects of the remnant terms and of the supersymmetric bound state potentials on the extracted spectroscopic factors are also discussed.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a purely theoretical paper and results of all calculations are displayed in the figures and tables. It also contains some results published elsewhere.]

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Acknowledgements

This work has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No 801505. Author also thanks Pierre Descouvemont for fruitful comments and discussions.

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

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Communicated by Nicolas Alamanos

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Shubhchintak Cluster transfer reactions with the combined R-matrix and Lagrange-mesh methods. Eur. Phys. J. A 57, 32 (2021). https://doi.org/10.1140/epja/s10050-021-00344-8

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