Search For Long-Range Interactions At Highly Relativistic Velocities

The Fermilab Tevatron is used to search for unknown weak long-range forces between the proton beam circulating at 800 GeV and a stationary detector. The limit established for a long-range nucleon-nucleon force at a distance of 23 cm, is FNN<3.4×10−40 dyne. Assuming an inverse distance-squared force law with dimensionless coupling κmp2 between the nucleons in the detector and the protons in the beam one finds (κmp2hc)<5×10−20.