Abstract
Evolution of spin polarization in the presence of external electric field is studied for collision energies $\sqrt{s_{\rm NN}}=27\,{\rm GeV}$ and $\sqrt{s_{\rm NN}}=200\,{\rm GeV}$. The numerical analysis is done in the perfect-fluid Bjorken-expanding resistive magnetohydrodynamic background and novel results are reported. In particular, we show that the electric field plays a significant role in the competition between expansion and dissipation.
Highlights
In recent years, relativistic hydrodynamics has become a commonly accepted tool for the description of relativistic heavy-ion collisions [1,2,3,4,5], which allows us to draw a uniform picture of the complicated processes taking place in these events
Recent measurements of spin polarization of Λ hyperons [9,10,11,12,13] indicate that the incorporation of spin degrees of freedom into the standard hydrodynamics framework may be necessary for understanding the spin polarization of final hadrons
We present numerical results for the hydrodynamic variables obtained by solving Eqs. (54) and (55) in the presence of external electric field
Summary
Relativistic hydrodynamics has become a commonly accepted tool for the description of relativistic heavy-ion collisions [1,2,3,4,5], which allows us to draw a uniform picture of the complicated processes taking place in these events. We assume the fluid in the microscopic scale to be composed of noninteracting quarklike quasiparticles of Nf flavors in equilibrium, which admits a kinetic description according to the Boltzmann-Vlasov (BV) equation By this virtue, we are not taking into account the direct coupling between the EM fields and spin degrees of freedom. [61] as the zeroth order in ħ expansion In this solution, modification of the chemical potential permits the electric field to exist in equilibrium [62]. The structure of the manuscript is as follows: we start by modifying the perfect-fluid background in the presence of the external electric field in Sec. II and setting up the necessary hydrodynamic framework for the study of spin polarization.
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