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We present new measurements of the total and partial fragmentation cross sections in the energy range 0.3-10 A GeV of 56Fe, 28Si and 12C beams on polyethylene, CR39 and aluminum targets. The exposures were made at BNL, USA and HIMAC, Japan. The CR39 nuclear track detectors were used to identify the incident and survived beams and their fragments. The total fragmentation cross sections for all targets are almost energy independent while they depend on the target mass. The measured partial fragmentation cross sections are also discussed.

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