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    Determining the orientation dependence of observables in heavy-ion collisions via deep neural networks

    Zu-Xing Yang1, Xiao-Hua Fan1,*, Peng-Hui Chen2, and Shunji Nishimura3

    • *Contact author: fanxiaohua@swu.edu.cn

    Phys. Rev. C 113, 064604 – Published 10 June, 2026

    DOI: https://doi.org/10.1103/6dtk-1tw2

    Abstract

    We simulate ultracentral collisions (impact parameter vector |b⃗|<1 fm) of deformed uranium-uranium nuclei at 500 MeV/nucleon via the isospin-dependent Boltzmann-Uehling-Uhlenbeck transport model. Building upon these IBUU-generated simulations, we develop a convolutional orientation filter (COF) neural network model for the classification of reaction orientations. Based solely on the anisotropic flow of final-state particles, our COF model achieves high-precision event classification (≈80% validation accuracy), while also offering a novel approach for the accurate determination of the reaction plane. In addition to the linear relationship between 〈v2〉 and β2, we also find that the 〈v12〉 signal is significantly enhanced when the major axis of the nucleus is oriented at approximately 45∘ relative to the beam direction. This enhancement can be attributed to the significant reflection of nucleons or nuclear fragments induced by nuclear pressure. Additionally, the COF classifier also accurately characterizes the pion yields and π−/π+ ratios across different reaction orientations. Finally, we extend the discussion to include classification schemes at relativistic energies, utilizing simulations generated via the multiphase transport model in the string melting mode. Taken together, these findings provide robust support for the reliability of neural networks in evaluating the effects of symmetry energy in deformed nuclear collision reactions.

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