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arXiv · 2305.09218

Tests of $CP$ symmetry in the entangled $\Xi^0-\bar{\Xi}^0$ Pairs

BESIII Collaboration·M. Ablikim·M. N. Achasov·P. Adlarson·X. C. Ai·R. Aliberti·A. Amoroso·M. R. An·Q. An·Y. Bai·O. Bakina·I. Balossino·Y. Ban·V. Batozskaya·K. Begzsuren·N. Berger·M. Berlowski·M. Bertani·D. Bettoni·F. Bianchi·E. Bianco·A. Bortone·I. Boyko·R. A. Briere·A. Brueggemann·H. Cai·X. Cai·A. Calcaterra·G. F. Cao·N. Cao·S. A. Cetin·J. F. Chang·T. T. Chang·W. L. Chang·G. R. Che·G. Chelkov·C. Chen·Chao Chen·G. Chen·H. S. Chen·M. L. Chen·S. J. Chen·S. M. Chen·T. Chen·X. R. Chen·X. T. Chen·Y. B. Chen·Y. Q. Chen·Z. J. Chen·W. S. Cheng·S. K. Choi·X. Chu·G. Cibinetto·S. C. Coen·F. Cossio·J. J. Cui·H. L. Dai·J. P. Dai·A. Dbeyssi·R. E. de Boer·D. Dedovich·Z. Y. Deng·A. Denig·I. Denysenko·M. Destefanis·F. De Mori·B. Ding·X. X. Ding·Y. Ding·J. Dong·L. Y. Dong·M. Y. Dong·X. Dong·M. C. Du·S. X. Du·Z. H. Duan·P. Egorov·Y. L. Fan·J. Fang·S. S. Fang·W. X. Fang·Y. Fang·R. Farinelli·L. Fava·F. Feldbauer·G. Felici·C. Q. Feng·J. H. Feng·K Fischer·M. Fritsch·C. Fritzsch·C. D. Fu·J. L. Fu·Y. W. Fu·H. Gao·Y. N. Gao·Yang Gao·S. Garbolino·I. Garzia·P. T. Ge
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Abstract

The $J/\psi \to \Xi^0 \bar{\Xi}^{0}$ process and subsequent decays are investigated using $(10087 \pm 44)\times 10^6$ $J/\psi$ events collected at the BESIII experiment. The decay parameters of $\Xi^0$ and $\bar{\Xi}^0$ are measured with greatly improved precision over previous measurements to be $\alpha_{\Xi} = -0.3750 \pm 0.0034 \pm 0.0016$, $\bar{\alpha}_{\Xi} = 0.3790 \pm 0.0034 \pm 0.0021$, $\phi_{\Xi} = 0.0051 \pm 0.0096 \pm 0.0018$~rad, $\bar{\phi}_{\Xi} = -0.0053 \pm 0.0097 \pm 0.0019$~rad, where the first and the second uncertainties are statistical and systematic, respectively. From these measurements, precise $CP$ symmetry tests in $\Xi^0$ decay are performed, and $A^{\Xi}_{CP} = (-5.4 \pm 6.5 \pm 3.1) \times 10^{-3}$ and $\Delta\phi^{\Xi}_{CP} = (-0.1 \pm 6.9 \pm 0.9) \times 10^{-3}$~rad are consistent with $CP$ conservation. The sequential decay also enables a separation of weak and strong phase differences, which are found for the first time to be $\xi_{P}-\xi_{S} = (0.0 \pm 1.7 \pm 0.2) \times 10^{-2}$~rad and $\delta_{P}-\delta_{S} = (-1.3 \pm 1.7 \pm 0.4)\times 10^{-2}$~rad, respectively. In addition, we measure the $\Lambda$ decay parameters and test $CP$ symmetry in $\Lambda$ decays.

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BESIII Collaboration, M. Ablikim, M. N. Achasov, P. Adlarson, X. C. Ai, R. Aliberti, A. Amoroso, M. R. An, Q. An, Y. Bai, O. Bakina, I. Balossino, Y. Ban, V. Batozskaya, K. Begzsuren, N. Berger, M. Berlowski, M. Bertani, D. Bettoni, F. Bianchi, E. Bianco, A. Bortone, I. Boyko, R. A. Briere, A. Brueggemann, H. Cai, X. Cai, A. Calcaterra, G. F. Cao, N. Cao, S. A. Cetin, J. F. Chang, T. T. Chang, W. L. Chang, G. R. Che, G. Chelkov, C. Chen, Chao Chen, G. Chen, H. S. Chen, M. L. Chen, S. J. Chen, S. M. Chen, T. Chen, X. R. Chen, X. T. Chen, Y. B. Chen, Y. Q. Chen, Z. J. Chen, W. S. Cheng, S. K. Choi, X. Chu, G. Cibinetto, S. C. Coen, F. Cossio, J. J. Cui, H. L. Dai, J. P. Dai, A. Dbeyssi, R. E. de Boer, D. Dedovich, Z. Y. Deng, A. Denig, I. Denysenko, M. Destefanis, F. De Mori, B. Ding, X. X. Ding, Y. Ding, J. Dong, L. Y. Dong, M. Y. Dong, X. Dong, M. C. Du, S. X. Du, Z. H. Duan, P. Egorov, Y. L. Fan, J. Fang, S. S. Fang, W. X. Fang, Y. Fang, R. Farinelli, L. Fava, F. Feldbauer, G. Felici, C. Q. Feng, J. H. Feng, K Fischer, M. Fritsch, C. Fritzsch, C. D. Fu, J. L. Fu, Y. W. Fu, H. Gao, Y. N. Gao, Yang Gao, S. Garbolino, I. Garzia, P. T. Ge. 2023-05-16. Tests of $CP$ symmetry in the entangled $\Xi^0-\bar{\Xi}^0$ Pairs. https://doi.org/10.1103/physrevd.108.l031106

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