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Here we develop the hadron resonance gas model with the Gaussian width ofhadron resonances. This model allows us to treat the usual hadrons and thequark gluon bags on the same footing and to study the stability of the resultsobtained within different formulations of the hadron resonance gas model. Inthis work we perform a successful fit of 111 independent hadronic multiplicityratios measured for $\sqrt{s_{NN}} $= 2.7- 200 GeV. We demonstrate that in anarrow range of collision energy $\sqrt{s_{NN}} =$ 4.3-4.9 GeV there existpeculiar irregularities in various thermodynamic quantities found at chemicalfreeze-out. The most remarkable irregularity is an unprecedented jump of thenumber of effective degrees of freedom observed in this narrow energy rangewhich is seen in all realistic versions of the hadron resonance gas model.Therefore, the developed concept is called the non-smooth chemical freeze-out.We are arguing that these irregularities evidence for the possible formation ofquark gluon bags. In order to develop other possible signals of their formationhere we study the apparent width of wide hadronic resonances and quark gluonbags in a thermal environment. Two new effects generated for the wideresonances and quark gluon bags by a thermal medium are discussed here: thenear threshold thermal resonance enhancement and the near threshold thermalresonance sharpening. On the basis of the new effects we argue that the mostoptimistic chance to find experimentally the quark gluon bags may be related totheir sharpening and enhancement in a thermal medium. In this case the widequark gluon bags may appear directly or in decays as narrow resonances that areabsent in the tables of elementary particles and that have the apparent widthabout 50-120 MeV and the mass about or above 2.5 GeV.

Non-smooth Chemical Freeze-out and Apparent Width of Wide Resonances and Quark Gluon Bags in a Thermal Environment