Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories

• URL: http://arxiv.org/abs/2108.06921v2
• Date: Thu, 23 Sep 2021 07:58:39 GMT
• Title: Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• Authors: Yukinao Akamatsu, Masayuki Asakawa, Shiori Kajimoto
• Abstract summary: Decoherence dynamics of quarkonia is studied in the high-temperature deconfined phase of SU($N_c$) gauge theories. We find a novel "event-by-event" symmetry for $N_c=2$ case, similar to the $G$-parity of hadronic systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Decoherence dynamics of quarkonia is studied in the high-temperature deconfined phase of SU($N_c$) gauge theories. In particular, we analyze the symmetry properties of SU($N_c$) stochastic potential model and find a novel "event-by-event" symmetry for $N_c=2$ case, similar to the $G$-parity of hadronic systems. This novel symmetry constrains the relation between diagonal and off-diagonal components of quarkonium density matrix, leaving the latter to be finite at late times. We also present one-dimensional numerical simulation of the model, which indicates the usefulness of the complex potential simulations for the quarkonium survival probabilities in relativistic heavy-ion collisions, provided that the effect of dissipation can be neglected.

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