area. Here, R is the radius of the colliding nuclei given by $R=R_{0}\;A^{1/3}$. Replacing $A$ by $N_{part}/2$, where $N_{part}$ is the number of nucleon participants [@Kharzeev:2000ph], $\epsilon_{Bj}$ becomes $$\epsilon_{Bj}=\frac{dE_{T}}{dy}\frac{1}{\tau\;\pi\;R_{0}^{2}\;\Big(N_{part}/2\Big)^{2/3}}.$$

Results and Discussions
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In order to calculate the ratio $E_{T}/N_{ch}$, we estimate $N_{ch}$ in our model in terms of the number of primarily produced particles, N. We follow the same procedure as done in ref. [@Cleymans:2007uk]. We first estimate the ratio of the total number of hadrons in final state, $N_{decays}$ to the total number of primordial hadrons, N with respect to $\sqrt{s_{NN}}$ over a broad energy range from AGS to LHC energies using EV-SHGM as shown in the upper panel of figure 1. Now, we study the ratio of the number of charged hadrons, $N_{ch}$ to $N_{decays}$ with $\sqrt{s_{NN}}$ from AGS to LHC energies as shown in the lower panel of the figure 1. In order to calculate these ratios, we use the chemical freeze-out temperature (T), and baryon chemical potential ($\mu_{B}$) at each $\sqrt{s_{NN}}$ as mentioned in ref. [@Tiwari:2012]. We find that the ratio $N_{decays}/N$ initially increases rapidly with $\sqrt{s_{NN}}$, because the production of resonances increases with energy and become saturated at SPS energies around a value of 