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Recoil contributions in neutron beta decay and their corrections to the correlation coefficients

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Hui-Yun Cao, Hai-Qing Zhou

Nuclear Theory · Submitted 9 Feb 2023

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The results show that the careful treatment of the expansion on m_n^-1 and the inclusion of the general coupling forms are necessary when aiming to reach the precision 10^-5

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arXiv ID2302.04647 (version 1)
Pith ID6N2FF34R, Pith's permanent record of this paper and its review
CitationHai-Qing Zhou, Hui-Yun Cao. "Recoil contributions in neutron beta decay and their corrections to the correlation coefficients." arXiv:2302.04647 (2023). https://pith.science/paper/6N2FF34R
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,316 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.46 · human participants 0.01 · controlled comparison 0.21 · randomized assignment 0.01 · states quantitative result 0.61 · compares with prior results 0.92 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this work, the recoil corrections to the correlation coefficients in the neutron beta decay with polarized neutron and electron are evaluated to order O(m_n^-2) in the Born approximation. Different from the usual calculations applied in the literatures where the phase space factor and the amplitude are expanded independently, we directly expand the full differential scattering cross section and then integrate the solid angles of the neutrino. Furthermore, the most general coupling forms in Wpn are kept in the calculation and the analytic expressions for the angular correlation coefficients are given. The numerical comparisons between the results by the different treatments of the phase space factor and the different choices of the coupling parameters are also presented. The results show that the careful treatment of the expansion on m_n^-1 and the inclusion of the general coupling forms are necessary when aiming to reach the precision 10^-5

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this work, the recoil corrections to the correlation coefficients in the neutron beta decay with polarized neutron and electron are evaluated to order O(m_n^-2) in the Born approximation. contribution 0.99 0.94 0.09 asserted 0.99
s1 Different from the usual calculations applied in the literatures where the phase space factor and the amplitude are expanded independently, we directly expand the full differential scattering cross section and then integrate the solid angles of the neutrino. method 0.91 0.84 0.05 asserted 0.98
s2 Furthermore, the most general coupling forms in Wpn are kept in the calculation and the analytic expressions for the angular correlation coefficients are given. contribution 0.60 0.94 0.06 asserted 0.99
s3 The numerical comparisons between the results by the different treatments of the phase space factor and the different choices of the coupling parameters are also presented. contribution 0.60 0.90 0.05 asserted 0.98
s4 The results show that the careful treatment of the expansion on m_n^-1 and the inclusion of the general coupling forms are necessary when aiming to reach the precision 10^-5 interpretation 0.82 0.91 0.86 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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  • references and citing sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this work, the recoil corrections to the correlation coefficients in the neutron beta decay with polarized neutron and electron are evaluated to order O(m_n^-2) in the Born approximation. Different from the usual calculations applied in the literatures where the phase space factor and the amplitude are expanded independently, we directly expand the full differential scattering cross section and then integrate the solid angles of the neutrino. Furthermore, the most general coupling forms in Wpn are kept in the calculation and the analytic expressions for the angular correlation coefficients are given. The numerical comparisons between the results by the different treatments of the phase space factor and the different choices of the coupling parameters are also presented. The results show that the careful treatment of the expansion on m_n^-1 and the inclusion of the general coupling forms are necessary when aiming to reach the precision 10^-5

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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