Luminosity determination for the deutron-deutron reactions using free and quasi-free reactions with WASA-at-COSY detector

Two methods of the luminosity determination for the experiment performed by WASA collaboration to search for ${}^4-0.03cmHe$-$\eta$ bound state are presented. During the measurement the technique of continous change of the beam momentum in one accelerator cycle (called ramped beam) was applied. This imposes the requirement to determine not only the total integrated luminosity, but also its variation as a function of the beam momentum.