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We pursue the investigation of the validity of our recently proposed quantummechanically correlated statistical hadron gas model (HRG) inspired by aBeth-Uhlenbeck corrected form of the equation of state (EoS) to the idealhadron resonance gas model (IHRG). We calculate the ratios of some particleyields of equal masses, namely ($\bar{p} / p$,$K^-/ K^+$, $\pi^-/ \pi^+$,$\bar{\Lambda}/ \Lambda$, $\bar{\Sigma}/ \Sigma$, $\bar{\Omega}/ \Omega$), andsome particle yield with unequal masses, namely ($p/ \pi^+$, $k^+/ \pi^+$,$k^-/ \pi^-$, $\Lambda/ \pi^-$, $\bar{p}/ \pi^-$, $\Omega/\pi^-$). We thenstudy the center-of-mass energy variation of these ratios of particle yieldsobtained by our proposed HRG model. Our model results are then confronted withthe corresponding calculations obtained using the ideal hadron resonance gas(IHRG) model, the Cosmic Ray Monte Carlo (CRMC) EPOS $1.99$ simulations, aswell as the experimental data from AGS, SPS, RHIC, and ALICE. Our proposed HRGmodel results generally show very close agreement with the experimental datacompared with the other models considered. Especially remarkable is the verygood matching obtained by our new HRG model with the experimental data of$\bar{p}/ \pi^-$ and $p/ \pi^+$, which suggests that our HRG model might behelpful in describing the famous proton anomaly at top RHIC and LHC energies.However, some experimental data of the ratios of hadron pairs of unequal massand (multi)strange content, like $\Lambda/ \pi^-$ and $\Omega/ \pi^-$, appearto be quite underestimated by both our HRG model and the IHRG model, whichalert further investigation of the suitability of the thermal hadron gasmodel(s) and thereby motivate the need for further modification.

Particle Ratios within a statistically corrected hadron resonance gas model and EPOS event-generator at AGS, SPS, RHIC and LHC Energies