Abstract: In this paper We calculated numerically the electron energy deposition in the cylindrical Ar/Kr/F₂ mixtures Pumped transversely by electron-beam, using SANDYL code, Obtained the relations between energy deposition efficiency and total Pressure of the mixture, electron energy and mixture Composition ratio. Moreover, We made rough estimation of the energy deposition efficiencies of electron and proton by using the formula of the stopping power, and made the comparison of electron and Proton energy losses for the theorical simulation of Proton-beam Pumping.