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Coupled reaction channel analysis of one- and two-nucleon transfer in \(^{\textbf{28}}\)Si+\(^{\textbf{90,94}}\)Zr

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Abstract

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 \(^{28}\)Si+\(^{90,94}\)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 \(^{28}\)Si+\(^{94}\)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 \(^{28}\)Si+\(^{90}\)Zr. Observed bell-shaped angular distribution of one-proton stripping channel in \(^{28}\)Si+\(^{94}\)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 \(^{28}\)Si+\(^{90}\)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.

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Acknowledgements

One of the authors (C.K.) acknowledges financial support from the Council of Scientific and Industrial Research (CSIR), New Delhi, via Grant No. CSIR/09/760(0038)/2019-EMR-I. The authors acknowledge beneficial discussions with Dr. Noritaka Shimizu and Ishtiaq Ahmed on large-scale shell model calculations.

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  1. Nuclear Physics Group, Inter-University Accelerator Centre, Aruna Asaf Ali Marg, New Delhi, 110067, India

    Chandra Kumar,  Gonika,  Yashraj, Rohan Biswas & S. Nath

  2. School of Physics and Materials Science, Thapar Institute of Engineering and Technology, Patiala, 147004, India

    Sunil Kalkal

  3. Life Science Division, Diamond Light Source Ltd., Diamond House, Harwell Science and Innovation Campus, Didcot, Oxfordshire, OX11 0DE, UK

    Rohan Biswas

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  1. Chandra Kumar
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Communicated by Arnau Rios Huguet.

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Kumar, C., Gonika, Yashraj et al. Coupled reaction channel analysis of one- and two-nucleon transfer in \(^{\textbf{28}}\)Si+\(^{\textbf{90,94}}\)Zr. Eur. Phys. J. A 59, 277 (2023). https://doi.org/10.1140/epja/s10050-023-01195-1

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