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A semi-microscopic approach to transfer reactions

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Abstract

We develop a semi-microscopic model to describe transfer reactions. For the sake of simplicity, we focus on nucleon-transfer reactions, but the theory can be generalized to other transfer processes. The model makes use of overlap integrals computed in the microscopic Resonating Group Method (RGM). This technique is based on an effective nucleon-nucleon interaction and on the cluster approximation. It avoids the choice of a nucleon-core potential for the residual nucleus, and does not require any fit of spectroscopic factors. The model is therefore free of parameter. For the entrance channel, we use the Continuum Discretized Coupled Channel (CDCC) method where the breakup of the projectile is simulated by approximations of the continuum. This technique is well known for elastic scattering and for breakup reactions. It is well adapted to weakly bound nuclei such as the deuteron. The model is applied to the \(^{14}\mathrm{C}(d,p)^{15}C\) and \(^{6}\mathrm{He}(d,n)^{7}Li\) reactions with RGM wave functions of \(^{15}\)C and of \(^7\)Li. The \(^{15}\)C nucleus is described by \(^{14}\mathrm{C}(0^+,2^+)+n\) configurations whereas \(^7\)Li contains the \(\alpha +t\), \(^{6}\mathrm{He}(0^+)+p\) and \(^{6}\mathrm{Li}(1^+,0^+)+n\) configurations. The spectroscopic factors are in fair agreement with the literature. We show that the model provides an excellent description of the transfer cross sections considering that no parameter is adjusted.

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Data Availibility Statement

This manuscript has associated data in a data repository. [Authors’ comment: All the data shown in the paper are available from the corresponding author, upon request.]

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Acknowledgements

I am grateful to A. Moro, A. Mukhamedzhanov and D.Y. Pang for useful discussions on the \(^{14}\mathrm{C}(d,p)^{15}C\) reaction. This work was supported by the Fonds de la Recherche Scientifique—FNRS under Grant Numbers 4.45.10.08 and J.0049.19. 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, Université Libre de Bruxelles (ULB), C.P. 229, 1050, Brussels, Belgium

    P. Descouvemont

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  1. P. Descouvemont
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Correspondence to P. Descouvemont.

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Communicated by Nicolas Alamanos.

Directeur de Recherches FNRS.

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Descouvemont, P. A semi-microscopic approach to transfer reactions. Eur. Phys. J. A 58, 193 (2022). https://doi.org/10.1140/epja/s10050-022-00840-5

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