Short-range tests of the gravitational inverse-square law are very important for finding new interactions. In order to further improve the constraints on the Yukawa-like gravitational force, we propose a new scheme based on the torsion balance, where the speculative Yukawa-like gravitational force between the pendulum and the attractor is substantially increased by increasing the area of the test mass and the source mass. A dual-compensation design is used to realize a null experiment, which can release the accuracy requirement on some geometric parameters. The calculation result shows that, at the 95% confidence level, the new design can establish the strongest bound on the magnitude α of the Yukawa violation at the range of 40–800 μm with the total error of about 2.0 × 10⁻¹⁷ N m, and improve the previous bounds about one order of magnitude at the length scale λ ≈ 300 μm.

中文翻译：

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一种用32重对称吸引子在亚毫米范围内测试引力平方反比定律的新设计

引力平方反比定律的短程测试对于寻找新的相互作用非常重要。为了进一步提高对类汤川引力的约束，我们提出了一种基于扭秤的新方案，通过增加测试面积，使摆与吸引子之间的推测类汤川引力大幅增加质量和源质量。采用双补偿设计实现零实验，可以放宽对部分几何参数的精度要求。计算结果表明，在 95% 的置信水平下，新设计可以建立最强的幅度界限α40-800 范围内的汤川违规μm，总误差约为 2.0 × 10 ⁻¹⁷  N m，并在长度尺度上将先前的界限提高了一个数量级λ≈ 300 μ米。