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arXiv · 2201.06171

Charge-dependent directed flows in heavy-ion collisions by Boltzmann-Maxwell equations

Abstract

We have calculated the directed flow $v_{1}$ and charge-dependent directed flow $\Delta v_{1}$ for pions and protons in Au+Au collisions at $\sqrt{s_{NN}}=200$GeV by solving the coupled Boltzmann-Maxwell equations self-consistently. Our numerical results show that $v_{1}$ for pions and protons are all negative in the positive mid rapidity region and have similar behavior and magnitude. In contrast we find a quite different behavior in $\Delta v_{1}$ for pions and protons. The difference lies in that $\Delta v_{1}$ for protons mainly comes from pressure gradients of the medium, while the dominant contribution to $\Delta v_{1}$ for pions is from electromagnetic fields. Our results indicate that the effect of the electric field will slightly exceed that of the magnetic and lead to a small negative slope of $\Delta v_{1}$ for pions

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Jun-Jie Zhang, Xin-Li Sheng, Shi Pu, Jian-Nan Chen, Guo-Liang Peng, Jian-Guo Wang, Qun Wang. 2022-01-17. Charge-dependent directed flows in heavy-ion collisions by Boltzmann-Maxwell equations. https://doi.org/10.1103/physrevresearch.4.033138

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