  In terms of the hadron-string-dynamics (HSD) approach we investigate the
correlation function in the azimuthal angle $\psi$ of charged hadrons that is
expected to be sensitive to a signal of local strong parity violation. Our
analysis of Au+Au collisions is based on the recent STAR data within the RHIC
Beam-Energy-Scan (BES) program. The HSD model reasonably reproduces STAR data
for $\sqrt{s_{NN}}=$7.7 GeV, while there are some deviations from the
experiment at the collision energy of 11.5 GeV and an increase of deviations
between theory and experiment at $\sqrt{s_{NN}}=$39 GeV. For reference, the
results for $\sqrt{s_{NN}}=$ 200 GeV are given as well. The role of the
retarded electromagnetic field is discussed and a compensation effect for the
action of its electric and magnetic components is pointed out. We conclude that
the recent RHIC BES data at $\sqrt{s_{NN}}=$7.7 and 11.5 GeV can be understood
on the hadronic level without involving the idea of a strong parity violation;
however, at $\sqrt{s_{NN}}\sim$40 GeV and above one needs to take into
consideration explicit partonic (quark-qluon) degrees-of-freedom for a proper
treatment of the dynamics.
