https://doi.org/10.1140/epja/s10050-023-01195-1
Regular Article - Theoretical Physics
Coupled reaction channel analysis of one- and two-nucleon transfer in 
Si+
Zr
1
Nuclear Physics Group, Inter-University Accelerator Centre, Aruna Asaf Ali Marg, 110067, New Delhi, India
2
School of Physics and Materials Science, Thapar Institute of Engineering and Technology, 147004, Patiala, India
3
Life Science Division, Diamond Light Source Ltd., Diamond House, Harwell Science and Innovation Campus, Didcot, OX11 0DE, Oxfordshire, UK
Received:
23
June
2023
Accepted:
6
November
2023
Published online:
21
November
2023
Coupled reaction channel approach has been quite successful in describing the mechanism of multi-nucleon transfer in heavy ion-induced reactions. However, considerable ambiguities exist in the choice of potential parameters and the states of participating nuclides that should be coupled for a given reaction channel. Here we report simultaneous analysis of both angular distributions and excitation functions for one- and two-nucleon transfer in the systems 
Si+
Zr within the coupled reaction channel formalism. Spectroscopic amplitudes are obtained from the literature and large-scale shell model calculations. The uncertainties in the cross sections, introduced by the choice of effective interactions in shell model, are also investigated. While one-nucleon transfer in the system Si+
Zr have been well reproduced by inclusion of the ground and the first excited states of projectile-likes in the exit channel, more states of the same are to be coupled for the system Si+
Zr. Observed bell-shaped angular distribution of one-proton stripping channel in Si+Zr is found to be caused by a large contribution of direct transfer from the ground and the first excited states of projectile-likes. In contrast, a flat angular distribution of one-proton stripping channel in Si+Zr appears to have been caused by a large number of indirect transitions. For two-nucleon transfer, both one-step and two-step processes have been considered. Reasonable reproduction of measured cross sections has been achieved by application of the extreme cluster model for the transfer of a pair of nucleons. No arbitrary scaling of the theoretical results has been necessary and only a minor variation of the binding radius has been allowed in our calculations. More such studies are warranted for mitigating the ambiguities in coupled reaction channel description of multi-nucleon transfer.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epja/s10050-023-01195-1.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
