Einstein-Podolsky-Rosen-Bohm experiment with massive particles as a test of relativistic center-of-mass position operator

Abstract

The nonrelativistic singlet state average $⟨\psi |\vec{a}\cdot \vec{\sigma }\otimes \vec{b}\cdot \vec{\sigma }|\psi ⟩=-\vec{a}\cdot \vec{b}$ can be relativistically generalized if one defines spin {\it via\/} the relativistic center-of-mass operator. The relativistic correction is quadratic in $v/c$ and can be measured in Einstein-Podolsky-Rosen-Bohm-type experiments with massive spin-1/2 particles. A deviation from the nonrelativistic formula would indicate that for relativistic nonzero-spin particles centers of mass and charge do not coincide.

revtex, 3 pages