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    Confined variational method applied to low-energy electron-lithium collisions

    Xian-Jun Li1,2,3, Deng-Xin Zhao3, Meng-Shan Wu4,*, Jun Jiang5,†, Zong-Chao Yan3,6, Kalman Varga7, and Jun-Yi Zhang3,‡

    • 1College of Physics and Electronic Information Engineering, Qinghai Normal University, Xining, Qinghai 810016, China
    • 2Academy of Plateau Science and Sustainability, Xining, Qinghai 810016, China
    • 3Innovation Academy for Precision Measurement Science and Technology, CAS, Wuhan 430071, China
    • 4Center for Theoretical Physics, Hainan University, Haikou, Hainan 570228, China
    • 5Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou, Gansu 730070, China
    • 6Department of Physics, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3
    • 7Department of Physics and Astronomy, Vanderbilt University, Nashville, Tennessee 37235, USA

    • *Contact author: mswu@hainanu.edu.cn
    • †Contact author: phyjiang@yeah.net
    • ‡Contact author: jZhang@apm.ac.cn

    Phys. Rev. A 112, 062808 – Published 4 December, 2025

    DOI: https://doi.org/10.1103/sp9n-xw9q

    Abstract

    The confined variational method is employed to study low-energy electron collisions with a lithium atom, for energies below the 2p excitation threshold. The accuracy of the phase shifts has been markedly improved in our calculations. From these calculations, we obtain an electron affinity of 4985.6124 cm−1, in excellent agreement with experiment, validating the accuracy of the approach. A least-squares fit of the phase shifts to effective-range theory yields an S-wave scattering length of A=3.02a0, where a0 is the Bohr radius. These results provide a stringent benchmark for future theoretical and experimental investigations. In this study, the sum of all electron spins is considered to be zero.

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