EN
The model for the cuprates based on the modified electron-phonon pairing mechanism has been tested. For this purpose, the superconductors with high value of the critical temperature have been taken into consideration. In particular: YBa₂Cu₃O_{7-y}, HgBa₂CuO_{4+y}, HgBa₂Cu_{1-x}Zn_{x}O_{4+y}, and HgBa₂Ca₂Cu₃O_{8+y}. It has been shown that the dependence of the ratio R₁ ≡ 2Δ_{tot}^{(0)}/k_{B}T_{C} on the doping (p) can be properly predicted in the framework of the presented theory; the symbol Δ_{tot}^{(0)} denotes the energy gap amplitude at the temperature of zero kelvin, and T_{C} is the critical temperature. The numerical results have been supplemented by the formula which describes the function R₁(p).