  The chemical freeze-out parameters in central nucleus-nucleus collisions are
extracted consistently from hadron yield data within the quantum van der Waals
(QvdW) hadron resonance gas model. The beam energy dependences for skewness and
kurtosis of net baryon, net electric, and net strangeness charges are
predicted. The QvdW interactions in asymmetric matter, $Q/B \neq 0.5$, between
(anti)baryons yield a non-congruent liquid-gas phase transition, together with
a nuclear critical point (CP) with critical temperature of $T_c=19.5$ MeV. The
nuclear CP yields the collision energy dependence of the skewness and the
kurtosis to both deviate significantly from the ideal hadron resonance gas
baseline predictions even far away, in $(T,\mu_B)$-plane, from the CP. These
predictions can readily be tested by STAR and NA61/SHINE Collaborations at the
RHIC BNL and the SPS CERN, respectively, and by HADES at GSI. The results
presented here offer a broad opportunity for the search for signals of phase
transition in dense hadronic matter at the future NICA and FAIR high intensity
facilities.
