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J-PET is a photon detector built of plastic scintillators, which already hasbeen commissioned for CPT studies in the decays of positronium. In the firstexperiment, J-PET has achieved a sensitivity to CPT violation at a level of10^{-4}, and now it aims to reach a level of 10^{-5}. This will be done byenhancing the three-photon registration efficiency for ortho-positronium decaysusing a new layer of densely packed plastic scintillators termed Modular J-PET.We present the simulation studies performed for different experimentaldetection setups to be used for the next CPT test with the Modular J-PETdetector.

Modular J-PET with Improved o-Ps Detection Efficiency for CPT Tests