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Theoretical and Mathematical Physics

Annihilation superradiance in a system of positronium atoms and positron polarization of the medium

R. A. Vlasov, O. N. Gadomskiĭ, В. В. Самарцев

Published Jun 1, 1989• 6 citations
Publisher
DOI
10.1007/bf01016550

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Although it can probably only exist within a confining potential, a positronium (Ps) Bose-Einstein condensate (BEC) would be interesting because it could be viewed as the ultimate member of Wheeler’s polyelectron series, e+, Ps, Ps−, Ps+, Ps2, …, Ps-BEC [1], not counting high density neutral e+-e− plasmas. A Ps-BEC could be a source of very cold Ps atoms for precision spectroscopy, for gravitation experiments, and as the gain medium for an annihilation gamma ray laser [2]. It would also be interesting to look for other effects that are non-linear in the positron density, such as the production of Ps+ ions and highly polarized positrons at a metal surface. Specifically, a process in which one thermalized bulk positron passes into the vacuum accompanied by an electron and a surface positron (surface pseudo-Ps) to form a Ps+ ion in vacuum, e+solid + Pssurf → Ps+vac + □E, is energetically allowed for a Ni(100) remoderator surface, for which + □E = 1.00 eV. The positive ions could be used in an experiment in which one positron undergoes a process in a material and the other positron reports on the process via its subsequent Ps emission, etc. Since the two positrons involved in the formation of Ps+ and Ps2 must have opposite spins, at sufficiently high implanted positron densities the minority positron spins will be significantly depleted by these processes, resulting in the enhancement of the spin polarization of the reemitted positrons which might be useful for spin polarized angle-resolved positronium emission spectroscopy of the electronic structure of solids and surfaces.
Abstract Quantum electrodynamics (QED) predicts that photons from positronium decay are maximally entangled. However, experimental verification of this entanglement in high-energy photons has remained elusive due to competing decay processes and interactions with the surrounding medium. The J-PET detector is a multi-modules detector based on plastic scintillators that has the potential to measure such correlation in the whole phase space. Photons interact with plastic mainly via Compton scattering, which makes J-PET particularly suitable for this type of study. Moreover, by incorporating the positron lifetime as an additional parameter, to differentiate between various decay processes and examine how the polarization correlation changes as a function of lifetime. Such studies provide new insights into quantum entanglement at high energy regimes and hold potential to enhance positron emission tomography (PET) imaging techniques. Recent results demonstrate the J-PET detector’s capability to measure the polarization correlation of photons emitted from positron annihilation in a porous medium. In this paper, we present a review of past research in this field, highlighting the need for further investigation of polarization correlation of annihilation photons.