Speaker
Description
Time reversal symmetry has been one of the most intriguing aspects of the tests on discrete symmetries.
So far, Time reversal symmetry violation has not been observed in purely leptonic systems [1].
The most promising experimental upper limits for CP and CPT (C-Charge Conjugation, P-Parity, and T-Time) symmetry violation in positronium decay is set to 0.3$\times10^{-3}$ [2, 3].
According to the standard model predictions, photon-photon interaction or weak interaction can mimic the symmetry violation at the level of 10$^{-9}$ (photon-photon interaction) and 10$^{-13}$ (weak interactions) respectively [4-6].
There are about 6 orders of magnitude difference between the present experimental upper limit and the standard model predictions [1].
The Jagiellonian Positron Emission Tomograph (J-PET) is one of its kind based on organic scintillators being developed at Jagiellonian University in Krakow, Poland [7, 8].
J-PET is an axially symmetric and high acceptance scanner that can be used as a multi-purpose detector system. It is well suited to pursue tests of discrete symmetries in decays of positronium in addition to medical imaging [9, 10, 11].
J-PET enables the measurement of the momentum vector $\vec{k_{i}}$ and the polarization vector $\vec{\epsilon_{j}}$ of annihilation photons [10]. Measurement of polarization of annihilation photons (511 keV) is a unique feature of the J-PET detector which allows the study of time reversal symmetry violation by determining the expectation values of the time reversal symmetry odd operator [10], \newline
\begin{equation}(\vec{\epsilon_j}.\vec{k_i}), (\mbox{for} j\neq{i})\end{equation}
J-PET collaboration aims to improve the sensitivity for the tests of the time reversal symmetry with respect to the previous experiments in the leptonic sector. At the turn of 2017 and 2018, a three month experimental run with the positronium produced in the porous polymer was conducted. The preliminary results of the analyzed data, including the determination of the expectation value of the $\vec{\epsilon}\cdot\vec{k}$, T symmetry odd operator, will be presented in the conference.
References:
[1] V.A. Kostelecky and N. Russell, January 2018 update to $\textit{Reviews of Modern Physics}$ 83, 11(2011)
[2] T. Yamazaki, T. Namba, S. Asai, T. Kobayashi, Phys. Rev. Lett. 104, 083401 (2010)
[3] P.A. Vetter, S.J. Freedman, Phys. Rev. Lett. 91, 263401 (2003)
[4] M. S. Sozzi, Discrete Symmetries and CP Violation. From Experiment to Theory, Oxford University Press (2008)
[5] W. Bernreyther et. al., Z. Phys. C 41, 143 (1988)
[6] B. K. Arbic et. al., Phys. Rev. A 37, 3189 (1988)
[7] P. Moskal et al., Phys. Med. Biol. 61 (2016)
[8] P. Moskal et al., Nucl. Instr. and Meth. A 764 (2014) 317-321
[9] D. Kamińska et al. Eur. Phys. J. C 76, 445 (2016)
[10] P. Moskal et al., Acta Phys. Polon. B 47, 509 (2016)
[11] A. Gajos et al., Nucl. Instrum. Methods A 819, 54 (2016)
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