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Configurational information entropy analysis of fragment mass cross distributions to determine the neutron skin thickness of projectile nuclei

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Abstract

Configurational information entropy (CIE) analysis has been shown to be applicable for determining the neutron skin thickness (\(\delta _\text {np}\)) of neutron-rich nuclei from fragment production in projectile fragmentation reactions. The BNN + FRACS machine learning model was adopted to predict the fragment mass cross-sections (\(\sigma _A\)) of the projectile fragmentation reactions induced by calcium isotopes from \(^{36}\)Ca to \(^{56}\)Ca on a \(^9\)Be target at 140 MeV/u. The fast Fourier transform was adopted to decompose the possible information compositions in \(\sigma _A\) distributions and determine the quantity of CIE (\(S_A[f]\)). It was found that the range of fragments significantly influences the quantity of \(S_A[f]\), which results in different trends of \(S_A[f] \sim \delta _\text {np}\) correlation. The linear \(S_A[f] \sim \delta _\text {np}\) correlation in a previous study [Nucl. Sci. Tech. 33, 6 (2022)] could be reproduced using fragments with relatively large mass fragments, which verifies that \(S_A[f]\) determined from fragment \(\sigma _A\) is sensitive to the neutron skin thickness of neutron-rich isotopes.

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Acknowledgements

We thank Prof. Chun-Wang Ma for his suggestion to study this topic.

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Authors and Affiliations

  1. College of Physics, Henan Normal University, Xinxiang, 453007, China

    Hui-Ling Wei, Xun Zhu & Chen Yuan

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  1. Hui-Ling Wei
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  2. Xun Zhu
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  3. Chen Yuan
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Contributions

All authors contributed to the study conception and design. Material preparation, data collection, and analysis were performed by Xun Zhu, Chen Yuan, and Hui-Ling Wei. The first draft of the manuscript was written by Hui-Ling Wei and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Hui-Ling Wei.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 11975091) and the Program for Innovative Research Team (in Science and Technology) in the University of Henan Province, China (No. 21IRTSTHN011).

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Wei, HL., Zhu, X. & Yuan, C. Configurational information entropy analysis of fragment mass cross distributions to determine the neutron skin thickness of projectile nuclei. NUCL SCI TECH 33, 111 (2022). https://doi.org/10.1007/s41365-022-01096-w

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