Study of the Log-third-difference method for the computation of even-odd staggering in fission yields

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Hauptverfasser: Viñas, Belén Montenegro, Caamaño, Manuel
Format: Preprint
Veröffentlicht: 2024
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author Viñas, Belén Montenegro
Caamaño, Manuel
author_facet Viñas, Belén Montenegro
Caamaño, Manuel
contents 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. In regions with a smooth behaviour, the direct application of the Log-third-difference method remains the best option.
format Preprint
id arxiv_https___arxiv_org_abs_2408_07173
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Study of the Log-third-difference method for the computation of even-odd staggering in fission yields
Viñas, Belén Montenegro
Caamaño, Manuel
Nuclear Theory
Nuclear Experiment
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. In regions with a smooth behaviour, the direct application of the Log-third-difference method remains the best option.
title Study of the Log-third-difference method for the computation of even-odd staggering in fission yields
topic Nuclear Theory
Nuclear Experiment
url https://arxiv.org/abs/2408.07173