Extrapolating exclusive charmonium photoproduction to the forward regime using Gaussian process.

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Title: Extrapolating exclusive charmonium photoproduction to the forward regime using Gaussian process.
Authors: Wang, Xue1 (AUTHOR) xuewang@mail.sdu.edu.cn, Cao, Xu2,3 (AUTHOR) caoxu@impcas.ac.cn, Lu, Yu3 (AUTHOR) ylu@ucas.ac.cn, Xiong, Weizhi1 (AUTHOR) xiongw@sdu.edu.cn
Source: European Physical Journal C -- Particles & Fields. May2026, Vol. 86 Issue 5, p1-11. 11p.
Subjects: Gaussian processes, Differential cross sections, Particles (Nuclear physics), Momentum transfer
Abstract: Accessing the forward kinematic regime of exclusive vector meson photoproduction is essential for probing the structure of the proton, yet this region is often experimentally inaccessible. We present a novel extrapolation of near-threshold γ p → J / ψ p differential cross section data to the forward regime d σ / d t | t = 0 by applying a non-parametric Gaussian process (GP) regression. By employing a two-dimensional GP dependent on both the squared momentum transfer t and the center-of-mass energy W, we perform a coherent analysis of world data and provide a robust quantification of the extrapolation uncertainties. Furthermore, we apply the GP in the determination of the proton mass radius from the J / ψ photoproduction data. We find that the extracted radius is subject to large systematic uncertainties, highlighting the challenge in precisely constraining this quantity with current experimental precision. This work demonstrates that GP is a powerful and systematic tool for phenomenological studies in hadron physics, particularly for extrapolations into unmeasured kinematic domains. [ABSTRACT FROM AUTHOR]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Xue%22">Wang, Xue</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xuewang@mail.sdu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Cao%2C+Xu%22">Cao, Xu</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> caoxu@impcas.ac.cn</i><br /><searchLink fieldCode="AR" term="%22Lu%2C+Yu%22">Lu, Yu</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> ylu@ucas.ac.cn</i><br /><searchLink fieldCode="AR" term="%22Xiong%2C+Weizhi%22">Xiong, Weizhi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xiongw@sdu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. May2026, Vol. 86 Issue 5, p1-11. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Gaussian+processes%22">Gaussian processes</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+cross+sections%22">Differential cross sections</searchLink><br /><searchLink fieldCode="DE" term="%22Particles+%28Nuclear+physics%29%22">Particles (Nuclear physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Momentum+transfer%22">Momentum transfer</searchLink>
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  Data: Accessing the forward kinematic regime of exclusive vector meson photoproduction is essential for probing the structure of the proton, yet this region is often experimentally inaccessible. We present a novel extrapolation of near-threshold γ p → J / ψ p differential cross section data to the forward regime d σ / d t | t = 0 by applying a non-parametric Gaussian process (GP) regression. By employing a two-dimensional GP dependent on both the squared momentum transfer t and the center-of-mass energy W, we perform a coherent analysis of world data and provide a robust quantification of the extrapolation uncertainties. Furthermore, we apply the GP in the determination of the proton mass radius from the J / ψ photoproduction data. We find that the extracted radius is subject to large systematic uncertainties, highlighting the challenge in precisely constraining this quantity with current experimental precision. This work demonstrates that GP is a powerful and systematic tool for phenomenological studies in hadron physics, particularly for extrapolations into unmeasured kinematic domains. [ABSTRACT FROM AUTHOR]
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  Label:
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  Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1140/epjc/s10052-026-15799-6
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      – Code: eng
        Text: English
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        PageCount: 11
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      – SubjectFull: Gaussian processes
        Type: general
      – SubjectFull: Differential cross sections
        Type: general
      – SubjectFull: Particles (Nuclear physics)
        Type: general
      – SubjectFull: Momentum transfer
        Type: general
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      – TitleFull: Extrapolating exclusive charmonium photoproduction to the forward regime using Gaussian process.
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            NameFull: Wang, Xue
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            NameFull: Cao, Xu
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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            – TitleFull: European Physical Journal C -- Particles & Fields
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