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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
1Shanghai Advanced Research Institute, Chinese Academy of Sciences, Shanghai 201210.
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 α_{E}+β_{M}=0.719±0.009_{stat}±0.014_{algo}±0.023_{syst} fm^{3}. With theoretical values of the magnetic polarizability β_{M} calculated from the pionless effective field theory, a new value of the electric polarizability is obtained as α_{E}=0.637±0.009_{stat}±0.014_{algo}±0.023_{syst}±0.004_{theo} fm^{3}, 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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