Cancellation of probe effects in measurements of spin-polarized momentum density by electron-positron annihilation

Measurements of the two-dimensional angular correlation of the electron-positron annihilation radiation have been done in the past to detect the momentum spin density and the Fermi surface. We point out that the momentum spin density and the Fermi surface of ferromagnetic metals can be revealed in great detail owing to the large cancellation of the electron-positron matrix elements which in paramagnetic multiatomic systems plague the interpretation of the experiments. We prove our conjecture by calculating the momentum spin density and the Fermi surface of the half metal CrO2, which has received large attention due to its possible applications as a spintronics material.