A PROPOSED EXPERIMENT USING A SPHERE WITH AN ECCENTRIC CAVITY FOR HYPOTHETICAL LONG-RANGE INTERACTIONS

The constraints are examined which may be obtained for the parameters of long-range hypothetical interactions by the use of the precise expe rimental setup created originally for the calibration of accelerometer s. This setup includes the large rotating steel sphere with a nonconce ntric spherical cavity in which the strictly homogeneous gravitational field arises. The field of additional interaction produced by the ato ms of the sphere, however, is not homogeneous. The essential features required of the detector of additional interaction which is the torsio nal pendulum of high sensitivity are discussed. Both the cases of the Yukawa-type and degree-type hypothetical interactions are investigated . It is shown that the known-to-date constraints for Yukawa-type inter actions may be strengthened by a factor of 400 in the appropriate inte raction range. For the degree-type hypothetical forces decreasing with distance as r(-3), r(-4) and r(-5) correspondingly the known constrai nts may be strengthened by the factors of 90, 35 and 20. The conclusio n is made that with the use of the specially created related setup it will be conceivable to strengthen the constraints for Yukawa-type inte ractions up to 4500 times over a wide interaction range.