Simulation of proton-proton elastic scattering for the KOALA recoil detector

Proton-proton elastic scattering at 3.2 GeV/c is simulated for the newly constructed KOALA recoil detector. The integrated luminosity (L), total cross section (σtot), slope parameter (b) and ratio of the real to imaginary part of the elastic scattering amplitude (ρ) are extracted from the spectrum of the squared 4-momentum transfer, and their corresponding systematic errors are evaluated to be 5.40%, 1.79%, 1.80% and 0.0200, respectively. Based on the simulation results, the precision of the luminosity is estimated to be better than 4%. It indicates that the KOALA recoil detector is a good candidate to determine σtot, b andρ with high precision and thus can be implemented for the P¯ANDA luminosity calibration.