“…For high beam brightness preservation, a high density of heavy gases (~10 12 cm -3 for Kr) [4] is needed. For protons with energy 50 to 100 keV, the beam attenuation in the MLEBT is relative low (~5%) because cross sections for electron capture are relative low and the gas ionization cross sections is relative high [3,4,26,27]. However, for low energy positive ions for low emittance preservation, very high gas density is needed, which causes more significant beam attenuation because the ionization cross sections become very low [28] but electron capture cross sections are high.…”