Possible observables for the chiral electric separation effect in Cu + Au collisions

Abstract

The quark-gluon plasma (QGP) generated in relativistic heavy-ion collisions could be locally parity-odd. In parity-odd QGP, the electric field may induce a chiral current which is called the chiral electric separation effect (CESE). We propose two possible observables for CESE in Cu + Au collisions: The first one is the correlation ${\zeta }_{\alpha \beta }=⟨\cos [2({\varphi }_{\alpha }+{\varphi }_{\beta }-2{\Psi }_{\mathrm{RP}})]⟩$; the second one is the charge-dependent event-plane angle ${\Psi }_2^q$ with $q=\pm$ being charge. Nonzero $\Delta \zeta ={\zeta }_{opp}-{\zeta }_{same}$ and $\Delta \Psi =⟨|{\Psi }_2^{+}-{\Psi }_2^{-}|⟩$ may signal the CESE in Cu + Au collisions. Within a multiphase transport model, we study how the final state interaction affects these observables. We find that the correlation ${\gamma }_{\alpha \beta }=⟨\cos ({\varphi }_{\alpha }+{\varphi }_{\beta }-{\Psi }_{\mathrm{RP}})⟩$ is sensitive to the out-of-plane charge separation caused by the chiral magnetic effect and to the in-plane charge separation caused by the in-plane electric field, but it is not sensitive to the CESE. On the other hand, $\Delta \zeta$ and $\Delta \Psi$ are sensitive to the CESE. Therefore, we suggest that the future experiments measure the above observables in Cu+Au collisions in order to disentangle different chiral and charge separation mechanisms.

arXiv comment6 pages, 6 figures, final published version

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