https://doi.org/10.1140/epja/s10050-024-01450-z
Special Article – New Tools and Techniques
Study of the log-third-difference method for the computation of even-odd staggering in fission yields
1
Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain
2
IGFAE, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain
Received:
14
August
2024
Accepted:
9
November
2024
Published online:
1
December
2024
The even-odd staggering in fission fragments yield distributions is an important observable to address the role of intrinsic excitations in the fission process. However, its computation as a function of the fragment split is an ill-posed problem that is usually solved through certain assumptions. Arguably, the most widely used method for its computation is the log-third-difference method, which assumes an underlying local Gaussian distribution. Experimental data of the even-odd effect show sharp features and peaks that are a challenge for the log-third difference method (or any method for that matter). This paper presents a detailed study of the performance of the log-third-difference method and describes three strategies for improving the precision and accuracy around these sharp features. The best results are obtained with an iterative application of the method and with the use of a multi-Gaussian fit. A hybrid process combining both corrections is also described and applied to real data. In regions with a smooth behaviour, the direct application of the log-third-difference method remains the best option.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024
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.