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    Precision Extraction of the Deuteron Electric Polarizability via the Baldin Sum Rule with Full Low-Energy Coverage

    Zi-Rui Hao1, Gong-Tao Fan1,2,3,*, Qian-Kun Sun2, Hong-Wei Wang1,2,3, Hang-Hua Xu1, Long-Xiang Liu1, Yue Zhang1, Jiunn-Wei Chen4,5, Yu-Xuan Yang2 et al.

    Sheng Jin2, Kai-Jie Chen2, Zhen-Wei Wang2, Xiang-Fei Wang2, Meng-Ke Xu2, Zhi-Cai Li1, Pu Jiao1, Meng-Die Zhou1, Shan Ye1, Yu-Long Shen1, Yin-Ji Chen6, Hao Zhang6, Jian-Jun He6, Wen-Qing Shen1,2, and Yu-Gang Ma7,8,†

    • *Contact author: fangt@sari.ac.cn
    • †Contact author: mayugang@fudan.edu.cn

    Phys. Rev. Lett. 136, 212502 – Published 27 May, 2026

    DOI: https://doi.org/10.1103/xmmq-gnvq

    Abstract

    The photodisintegration cross sections of the deuteron have been systematically measured over the photon energy range of 2.33–19.65 MeV at the Shanghai Laser Electron Gamma Source. By applying the well-established Baldin sum rule to the newly obtained data, the sum of the electric and magnetic dipole polarizabilities of the deuteron is extracted for the first time based solely on a dense and continuous experimental dataset, yielding αE+βM=0.719±0.009stat±0.014algo±0.023syst  fm3. With theoretical values of the magnetic polarizability βM calculated from the pionless effective field theory, a new value of the electric polarizability is obtained as αE=0.637±0.009stat±0.014algo±0.023syst±0.004theo  fm3, which is in excellent agreement with current theoretical predictions. This result resolves the previous discrepancy between experimental measurements from elastic scattering and theory, providing a high-precision benchmark for nuclear interaction models.

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