Study of certain angular correlations in the three-photon annihilations of the triplet state of positronium, the electron-positron bound state, may be used as a probe of potential CP and CPT-violating effects in the leptonic sector. We present the perspectives of CP and CPT tests using this process recorded with a novel detection system for photons in the positron annihilation energy range, the Jagiellonian PET (J-PET). We demonstrate the capability of this system to register three-photon annihilations with an unprecedented range of kinematical configurations and to measure the CPT-odd correlation between positronium spin and annihilation plane orientation with a precision improved by at least an order of magnitude with respect to present results. We also discuss the the means to control and reduce detector asymmetries in order to allow J-PET to set the first measurement of the correlation between positronium spin and momentum of the most energetic annihilation photon which has never been studied to date.

中文翻译：

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使用 J-PET 探测器对正电子系统进行离散对称性测试的灵敏度

对正电子三重态（电子-正电子束缚态）的三光子湮灭中的某些角相关性的研究，可用作探索轻子扇区中潜在的 CP 和 CPT 违反效应的探针。我们展示了使用此过程记录的 CP 和 CPT 测试的前景，该过程记录了正电子湮没能量范围内的光子的新型检测系统，即 Jagiellonian PET (J-PET)。我们证明了该系统能够以前所未有的运动学配置范围记录三光子湮灭，并测量正电子自旋和湮灭平面方向之间的 CPT 奇相关性，其精度至少提高一个数量级。结果。