Regular Article – Theoretical Physics
Cluster transfer reactions with the combined R-matrix and Lagrange-mesh methods
A tribute to Mahir Hussein
Physique Nucléaire Théorique et Physique Mathématique, C. P. 229, Université Libre de Bruxelles (ULB), B 1050, Brussels, Belgium
Accepted: 30 December 2020
Published online: 18 January 2021
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 O(d, n)F and C(Li, t)O reactions, which are specific examples of neutron and 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021