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In the absence of configuration mixing between the ground-state (spin-1/2) charmed-strange baryon $\\Xi_c^{(a)}$ and the spin-1/2 state $\\Xi_c^{(s)}$ lying about 95 MeV above it, one finds $\\tilde \\Gamma(\\Xi^*_c \\to \\Xi_c^{(a)} \\pi) = (3/4) \\tilde \\Gamma(\\Xi^* \\to \\Xi \\pi)$ and $\\tilde \\Gamma(\\Xi^*_c \\to \\Xi_c^{(s)} \\pi) = (1/4) \\tilde \\Gamma(\\Xi^* \\to \\Xi \\pi)$, where the tilde denotes the partial width with kinematic factors removed. 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