Space-average electromagnetic fields and EM anomaly weighted by energy density in heavy-ion collisions

Abstract

We study the space-average electromagnetic (EM) fields weighted by the energy density in the central regions of heavy ion collisions. These average quantities can serve as a barometer for the magnetic-field induced effects such as the magnetic effect, the chiral separation effect and the chiral magnetic wave. Comparing with the magnetic fields at the geometric center of the collision, the space-average fields weighted by the energy density are smaller in the early stage but damp slower in the later stage. The space average of squared fields as well as the EM anomaly $\mathbf{E}\cdot \mathbf{B}$ weighted by the energy density are also calculated. We give parameterized analytical formula for these average quantities as functions of time by fitting numerical results for collisions in the collision energy range $7.7-200$ GeV with different impact parameters.

22 pages, 14 figures

References in corpus (13)

• The Chiral Magnetic Effect
• Chiral Magnetic Wave
• Quantum Anomalies in Dense Matter
• Beam-energy dependence of charge separation along the magnetic field in Au+Au collisions at RHIC
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Observation of charge-dependent azimuthal correlations in pPb collisions and its implication for the search for the chiral magnetic effect
• Observation of charge asymmetry dependence of pion elliptic flow and the possible chiral magnetic wave in heavy-ion collisions
• Test the chiral magnetic effect with isobaric collisions
• Improved quark coalescence model for spin alignment and polarization of hadrons
• Multi-particle and charge-dependent azimuthal correlations in heavy-ion collisions at the Relativistic Heavy-Ion Collider
• Impact of magnetic-field fluctuations on measurements of the chiral magnetic effect in collisions of isobaric nuclei
• Novel mechanism for electric quadrupole moment generation in relativistic heavy-ion collisions