Event-by-event correlations between $Λ$ ($\barΛ$) hyperon global polarization and handedness with charged hadron azimuthal separation in Au+Au collisions at $\sqrt{s_{\text{NN}}} = 27 \text{ GeV}$ from STAR
Global polarizations ($P$) of $Λ$ ($\barΛ$) hyperons have been observed in non-central heavy-ion collisions. The strong magnetic field primarily created by the spectator protons in such collisions would split the $Λ$ and $\barΛ$ global polarizations ($ΔP = P_Λ - P_{\barΛ} < 0$). Additionally, quantum chromodynamics (QCD) predicts topological charge fluctuations in vacuum, resulting in a chirality imbalance or parity violation in a local domain. This would give rise to an imbalance ($Δn = \frac{N_{\text{L}} - N_{\text{R}}}{\langle N_{\text{L}} + N_{\text{R}} \rangle} \neq 0$) between left- and right-handed $Λ$ ($\barΛ$) as well as a charge separation along the magnetic field, referred to as the chiral magnetic effect (CME). This charge separation can be characterized by the parity-even azimuthal correlator ($Δγ$) and parity-odd azimuthal harmonic observable ($Δa_{1}$). Measurements of $ΔP$, $Δγ$, and $Δa_{1}$ have not led to definitive conclusions concerning the CME or the magnetic field, and $Δn$ has not been measured previously. Correlations among these observables may reveal new insights. This paper reports measurements of correlation between $Δn$ and $Δa_{1}$, which is sensitive to chirality fluctuations, and correlation between $ΔP$ and $Δγ$ sensitive to magnetic field in Au+Au collisions at 27 GeV. For both measurements, no correlations have been observed beyond statistical fluctuations.