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    Effects of electronic excited states on the electron-nuclear energy sharing

    Zhenfang Tang1,2, Shilin Hu3,*, Junping Wang4, Song-Feng Zhao5, and Jing Chen6,7,†

    • *Contact author: shlhu@stu.edu.cn
    • †Contact author: chenjing@ustc.edu.cn

    Phys. Rev. A 114, 053101 – Published 2 November, 2026

    DOI: https://doi.org/10.1103/t4pj-464j

    Abstract

    The dissociative ionization of the hydrogen molecular ion (H2+) driven by intense laser fields is theoretically investigated by numerically solving the time-dependent Schrödinger equation for a collinear one-dimensional model that incorporates both electronic and nuclear degrees of freedom. The calculated joint electron-nuclear energy spectrum (JES) exhibits characteristic diagonal and horizontal stripe structures, whose relative contributions depend on the laser intensity and wavelength. In the short-wavelength and low-intensity regime, the JES is dominated by diagonal stripes, whereas higher laser intensities or longer wavelengths enhance the horizontal features, leading to a more complex energy distribution. Further analysis indicates that electronic excited states play crucial roles in the formation and evolution of these spectral structures. These findings clarify how electronic excitation shapes the JES in strong-field dissociative ionization and provide insights into coupled electron-nuclear dynamics in molecular ions.

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