  We investigate, in addition to the experimentally established hadrons, how
the inclusion of extra resonance states, through the Hagedorn mass spectrum
(HS) or Quark Model (QM) predicated states, affects the thermodynamic and
transport quantities of the hadronic system in the van der Waals hadron
resonance gas (VDWHRG) model. We found that the VDWHRG model with the HS
provides the most accurate description of the lattice QCD results, both at zero
and finite chemical potential. Moreover, the inclusion of these extra states
has a significant impact on the van der Waals (VDW) parameters, which, in turn,
affect the thermodynamic and transport quantities as well as the likely
position of the liquid-gas phase transition critical point in the QCD phase
diagram. Additionally, we infer that there is a strong correlation between the
van der Waals parameters and the chemical potential. Overall, our study sheds
light on the importance of considering extra resonance states and proper tuning
of the VDW parameters in the VDWHRG model to enhance the accuracy and
reliability of the model in the context of Ultra-relativistic heavy-ion
physics.
