- Title
- Approximating the nuclear binding energy using analytic continued fractions
- Creator
- Moscato, Pablo; Grebogi, Rafael
- Relation
- ARC.DP200102364 http://purl.org/au-research/grants/arc/DP200102364
- Relation
- Scientific Reports Vol. 14, no. 11559
- Publisher Link
- http://dx.doi.org/10.1038/s41598-024-61389-5
- Publisher
- Nature Publishing Group
- Resource Type
- journal article
- Date
- 2024
- Description
- Understanding nuclear behaviour is fundamental in nuclear physics. This paper introduces a data-driven approach, Continued Fraction Regression (cf-r), to analyze nuclear binding energy (B(A, Z)). Using a tailored loss function and analytic continued fractions, our method accurately approximates stable and experimentally confirmed unstable nuclides. We identify the best model for nuclides with A ≥ 200 , achieving precise predictions with residuals smaller than 0.15 MeV. Our model's extrapolation capabilities are demonstrated as it converges with upper and lower bounds at the nuclear mass limit, reinforcing its accuracy and robustness. The results offer valuable insights into the current limitations of state-of-the-art data-driven approaches in approximating the nuclear binding energy. This work provides an illustration on the use of analytical continued fraction regression for a wide range of other possible applications.
- Subject
- data-driven; Continued Fraction Regression (cf-r); analyze nuclear binding energy (B(A, Z)); predictions
- Identifier
- http://hdl.handle.net/1959.13/1504455
- Identifier
- uon:55522
- Identifier
- ISSN:2045-2322
- Rights
- © Crown 2024. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
- Language
- eng
- Full Text
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