Electromagnetic field evolution in relativistic heavy-ion collisions

TL;DR

This paper extends the hadron string dynamics model to include electromagnetic field evolution in relativistic heavy-ion collisions, analyzing their structure, correlation with energy density, and impact on observables.

Contribution

It introduces a generalized HSD model incorporating retarded electromagnetic fields and assesses their influence on collision dynamics and observables.

Findings

Magnetic fields reach about 5 times eB_y/m_pi^2 briefly (~0.2 fm/c).

Maximum magnetic field correlates with energy density distribution.

Electromagnetic fields show negligible effect on charge separation observables.

Abstract

The hadron string dynamics (HSD) model is generalized to include the creation and evolution of retarded electromagnetic fields as well as the influence of the magnetic and electric fields on the quasiparticle propagation. The time-space structure of the fields is analyzed in detail for non-central Au+Au collisions at $\sqrt{s_{NN}}=$200 GeV. It is shown that the created magnetic field is highly inhomogeneous but in the central region of the overlapping nuclei it changes relatively weakly in the transverse direction. For the impact parameter $b=$10 fm the maximal magnetic field - perpendicularly to the reaction plane - is obtained of order $eB_y/m_\pi^2\sim$5 for a very short time $\sim$ 0.2 fm/c, which roughly corresponds to the time of a maximal overlap of the colliding nuclei. We find that at any time the location of the maximum in the $eB_y$ distribution correlates with that of the energy density of the created particles. In contrast, the electric field distribution, being also highly inhomogeneous, has a minimum in the center of the overlap region. Furthermore, the field characteristics are presented as a function of the collision energy and the centrality of the collisions. To explore the effect of the back reaction of the fields on hadronic observables a comparison of HSD results with and without fields is exemplified. Our actual calculations show no noticeable influence of the electromagnetic fields - created in heavy-ion collisions - on the effect of the electric charge separation with respect to the reaction plane.