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Description
This study investigates the production, transport, and optical optimization of secondary μ⁺ beams in HFRS using an integrated G4Beamline–MAD-X model incorporating the graphite target, two-stage separator, key focal planes, and the MF6 exit. Comparisons of forward π⁺ production from ¹⁶O and ¹⁸O beams at different energies show that ¹⁸O at 4.26 GeV/u provides the highest yield and the strongest high-momentum component, exceeding the corresponding ¹⁶O yield by approximately 12.8% before angular selection and 15.8% after acceptance cuts. Compressing βy in the dominant loss regions increases the normalized μ⁺ flux from 1.1×10⁶ to 1.9×10⁶, while shifting the principal bottleneck from the PREQ789 and B910 regions to 60–70 m. Further optimization should therefore combine focal-plane matching, staged magnetic rigidity, realistic apertures, edge fields, and higher-order optics to improve flux, purity, beam size, and local-loss control simultaneously.