Test of unparticle long range forces from perihelion precession of Mercury

Abstract

Unparticle exchange gives rise to long range forces which deviate from the inverse square law due to the noncanonical dimension of unparticles. It is well known that a potential of the form r{sup -n} where n is not equal to 1 gives rise to a precession in the perihelion of planetary orbits. We calculate the constraints on unparticle couplings with baryons and leptons from the observations of perihelion advance of Mercury's orbit.