A feasibility study of the time reversal violation test based on polarization of annihilation photons from the decay of
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A feasibility study of the time reversal violation test based on polarization of annihilation photons from the decay of ortho-Positronium with the J-PET detector ´ 1 · K. Dulski1 · M. Gorgol3 · J. Raj1 · A. Gajos1 · C. Curceanu2 · E. Czerwinski 3 · K. Kacprzak1 · Ł. Kapłon1 · ´ N. Gupta-Sharma1 · B. C. Hiesmayr4 · B. Jasinska 1 5 1 D. Kisielewska · K. Klimaszewski · G. Korcyl · P. Kowalski5 · T. Kozik1 · N. Krawczyk1 · W. Krzemien´ 5 · E. Kubicz1 · M. Mohammed6 · Sz. Nied´zwiecki1 · M. Pałka1 · ´ 5 · K. Rakoczy1 · Z. Rudy1 · S. Sharma1 · M. Pawlik-Nied´zwiecka1 · L. Raczynski 1 5 1 3· ´ Shivani · R. Y. Shopa · M. Silarski · M. Skurzok1 · W. Wi´slicki5 · B. Zgardzinska 1 P. Moskal Published online: 19 November 2018 © The Author(s) 2018
Abstract The Jagiellonian Positron Emission Tomograph (J-PET) is a novel device being developed at Jagiellonian University in Krakow, Poland based on organic scintillators. J-PET is an axially symmetric (M. Mohammed) has been affiliated to affiliation 6. Please check if correct, otherwise, provide the correct affiliation.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. J-PET enables the measurement of both momenta and the polarization vectors of annihilation photons. The latter is a unique feature of the J-PET detector which allows the study of time reversal symmetry violation operator which can be constructed solely from the annihilation photons momenta before and after the scattering in the detector. Keywords J-PET detector · Time reversal symmetry · Ortho-positronium · Discrete symmetries · Momenta · Polarization · Annihilation photons
1 Introduction Testing whether Nature is invariant under time reversal is one of the most curious challenges in physics. Although, one can reverse the direction of motion in space, one cannot This article is part of the Topical Collection on Proceedings of the 13th International Conference on Low Energy Antiproton Physics (LEAP 2018) Paris, France, 12-16 March 2018 Edited by Paul Indelicato, Dirk van der Werf and Yves Sacquin J. Raj
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Extended author information available on the last page of the article.
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Table 1 Discrete symmetry odd-operators using spin orientation of the o-Ps and momentum directions of the annihilation photons
Table 2 Discrete symmetry oddoperators using spin orientation of the o-Ps as well as polarization and momentum directions of the annihilation photons
Hyperfine Interact (2018) 239: 56
Operator
C
P
T
CP
CPT
S · k1
+
−
+
−
−
S · (k1 × k2 )
+
+
−
+
−
(S · k1 ) · (S · (k1 × k2 ))
+
−
−
−
+
Operator
C
P
T
CP
CPT
1 · k2
+
−
−
−
+
S · 1
+
+
−
+
−
S · (k2 × 2 )
+
−
+
−
−
reverse the direction of elapsing time. Therefore, in order to test the time reversal violation, we investigate the expectation values for the T-odd-symmetry-operators. To date, time reversal symmetry violation has not been
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