Closing the Door on the "Puzzle of Decoherence'' of Annihilation Quanta

Abstract: In para-positronium annihilation, exploration of the polarization correlations of the emerging gamma quanta has gained interest, since it offers a possibility to improve signal-to-background in medical imaging using positron emission tomography. The annihilation quanta, which are predicted to be in an entangled state, have orthogonal polarizations and this property may be exploited to discriminate them from two uncorrelated gamma photons contributing to the background. Recent experimental studies of polarization correlations of the annihilation quanta after a decoherence process induced by a prior Compton scattering of one of them, had rather different conclusions regarding the strength of the correlation after the decoherence, showing its puzzling nature. In the present work, we perform for the first time, a study of the polarization correlations of annihilation quanta after decoherence via Compton scattering in the angular range $0^\circ-50^\circ$ using single-layer gamma ray polarimeters. In addition, we compare the measured polarization correlations after Compton scattering at $30^\circ$ with an active and a passive scatterer element. The results indicate that the correlation, expressed in terms of the polarimetric modulation factor, shows no significant difference at small scattering angles ($0^\circ-30^\circ$) compared to the correlation measured for direct photons, while lower modulation was observed for $50^\circ$ scattering angle.