AI 中文总结
该研究以氦电离能与QED理论的9σ偏差为基础，推导正电子素能级对汤川势的响应，给出特定质量范围下的能级偏移值，并探讨实验观测可行性。
AI 中文摘要
对亚稳态氦（1s）（2s）$^3S_1$电离能的精确测量，揭示出与量子电动力学（QED）理论存在9σ的偏差，且该偏差在同位素测量中依然存在，表明轻子偏好的玻色子相互作用可能是一种解释。后续对这类相互作用的研究得出结论，仅标量玻色子相互作用与氦的观测结果一致。以此为起点，我们利用精确的类氢矩阵元和数值氦计算，推导了正电子素能级对相应有限范围汤川势的响应。在可行的中介质量范围0-800 eV内，以此方式解释的氦异常，意味着正电子素1$^3S_1$→2$^3S_1$的能级偏移范围为0.250-0.850 MHz，2S电离偏移为0.14-0.21 MHz。我们讨论了实验观测这些偏移的可行性。
英文摘要
Precise measurements of the metastable helium (1s)(2s)$\,^3S_1$ ionization energy have revealed a 9$σ$ discrepancy with QED theory that persists in isotopic measurements, suggesting a leptophilic bosonic interaction as a possible explanation. A subsequent investigation of such interactions has concluded that only a scalar boson interaction is consistent with the He observations. Taking this as a starting point, we derive the response of positronium energy levels to the corresponding finite-range Yukawa potential, using exact hydrogenic matrix elements and a numerical helium calculation. Across the viable mediator-mass range of 0-800 eV, the He anomaly interpreted in this way implies a positronium 1$^3$S$_1 \rightarrow 2^3$S$_1$ shift ranging from 0.250-0.850 MHz, and a 2S-ionization shift of 0.14-0.21 MHz. We discuss the feasibility of observing these shifts experimentally.
Comments4 pages, 2 figures
