The technique for determining the emittance of carbon ion beams by measuring their transverse dimensions at the end of the air gap of the channel is described. The inverse transformation of phase ellipses is considered, taking into account multiple Coulomb scattering of particles and the presence of dispersion in the carbon ion beam. The values of betatron emittance before the first quadrupole lens are given and compared with data obtained by direct calculation starting from the inner target. Inaccuracies in the calculated and measured emittance values are discussed. Simulations and measurements were performed at beam energies of 200, 300, and 400 MeV/nucleon in front of the target.
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