Abstract
We calculate the gravitational deflection of massive particles moving with relativistic velocity in the solar system to second post-Newtonian order. For a particle passing close to the Sun with impact parameter b, the deflection in classical general relativity is ΦC = 2GM/v20b[1 + v20/c2 + 3π/2 MG/bc2 + 3π/8 MG/bc2 v20/c2 + 9(MG/bc2)2], where v0 is the particle speed at infinity and M is the Sun's mass. We compute afterwards the gravitational deflection of a spinless neutral particle of mass m in the same static gravitational field as above, treated now as an external field. For a scalar boson with energy E, the deflection in semiclassical general relativity (SGR) is ΦSC = 4GM/b(1 + m2/2E2). This result shows that the propagation of the spinless massive boson produces inexorably dispersive effects. It also shows that the semiclassical prediction is always greater than the geometrical one, no matter what the boson mass is. In addition, it is found that SGR predicts a deflection angle of ∼2.6 arcsec for a nonrelativistic spinless massive boson passing at the Sun's limb.
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