An extended $R_{{\Psi }_m}^{(2)}(\Delta S_2)$ correlator for detecting and characterizing the Chiral Magnetic Wave

Abstract

The extended $R_{{\Psi }_m}^{(2)}(\Delta S_2)$ correlator is presented and examined for its efficacy to detect and characterize the quadrupole charge separation ($\Delta S_2$) associated with the purported Chiral Magnetic Wave (CMW) produced in heavy-ion collisions. Sensitivity tests involving varying degrees of proxy CMW signals injected into events simulated with the Multi-Phase Transport Model (AMPT), show that the $R_{{\Psi }_m}^{(2)}(\Delta S_2)$ correlator provides discernible responses for the background- and CMW-driven charge separation. This distinction could aid identification of the CMW via measurements of the $R_{{\Psi }_2}^{(2)}(\Delta S_2)$ and $R_{{\Psi }_3}^{(2)}(\Delta S_2)$ correlators, relative to the second- (${\Psi }_2$) and third-order (${\Psi }_3$) event planes. The tests also indicate a level of sensitivity that would allow for robust experimental characterization of the CMW signal.

arXiv comment7 pages 5 figures - submitted for publication

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Cited by in corpus (4)

• Investigation of the elliptic flow fluctuations of the identified particles using the A Multi-Phase Transport model
• Search for the chiral magnetic wave using anisotropic flow of identified particles at RHIC
• Probing the Chiral Magnetic Wave with charge-dependent flow measurements in Pb-Pb collisions at the LHC
• Beam Energy Dependence of the Linear and Mode-Coupled Flow Harmonics Using the A Multi-Phase Transport Model