Effect of vector meson spin coherence on the measurements of chiral magnetic effect in heavy-ion collisions

TL;DR

This study investigates how vector meson spin coherence, especially the off-diagonal element , influences the measurement of the chiral magnetic effect in heavy-ion collisions, highlighting its potential impact on experimental interpretations.

Contribution

It introduces the role of the off-diagonal spin density matrix element  in affecting CME observables, expanding beyond previous focus on .

Findings

Re affects CME observables oppositely to .

CME observables depend linearly on Re in models.

Off-diagonal spin terms indicate spin coherence in heavy-ion collisions.

Abstract

The chiral magnetic effect (CME) in heavy-ion collisions reflects the local violation of ${\cal P}$ and ${\cal CP}$ symmetries in strong interactions and manifests as electric charge separation along the direction of the magnetic field created by the wounded nuclei. The experimental observables for the CME, such as the $\gamma_{112}$ correlator, the $R_{\Psi_2}(\Delta S)$ correlator, and the signed balance functions, however, are also subject to non-CME backgrounds, including those from resonance decays. A previous study showed that the CME observables are affected by the diagonal component of the spin density matrix, the $\rho_{00}$ for vector mesons. In this work, we study the contributions from the other elements of the spin density matrix using a toy model and a multiphase transport model. We find that the real part of the $\rho_{1-1}$ component, $\mathrm{Re}\,\rho_{1-1}$, affects the CME observables in a manner opposite to that of the $\rho_{00}$. All three aforementioned CME observables show a linear dependence on $\mathrm{Re}\,\rho_{1-1}$ in the model calculations, supporting our analytical derivations. The rest elements of the spin density matrix do not contribute to the CME observables. The off-diagonal terms in the spin density matrix indicate spin coherence and may be nonzero in heavy-ion collisions due to local spin polarization or spin-spin correlations. Thus, $\mathrm{Re}\,\rho_{1-1}$, along with $\rho_{00}$, could play a significant role in interpreting measurements in search of the CME.