Luminosity determination for the quasi-free nuclear reactions

A method for the calculation of the luminosity for the proton-nucleus collisions based on the quasi-free proton-proton scattering is presented. As an example of application the integrated luminosity for the scattering of protons off the deuteron target is determined for the experiment of the quasi-free pn –> pneta reaction performed by means of the COSY-11 facility.