Gravitational Couplings of Intrinsic Spin

Abstract

The gravitational couplings of intrinsic spin are briefly reviewed. A consequence of the Dirac equation in the exterior gravitational field of a rotating mass is considered in detail, namely, the difference in the energy of a spin-1/2 particle polarized vertically up and down near the surface of a rotating body is $\hslash \Omega \sin \theta$. Here $\theta$ is the latitude and $\Omega =2GJ/(c^2{R}^3)$, where $J$ and $R$ are, respectively, the angular momentum and radius of the body. It seems that this relativistic quantum gravitational effect could be measurable in the foreseeable future.

LaTeX file, no figures, 16 pages

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