  The electronic structure of doped Mn in (Ga,Mn)As is studied by resonant
inelastic X-ray scattering (RIXS). From configuration-interaction cluster-model
calculations, the line shapes of the Mn $L_3$ RIXS spectra can be explained by
$d$-$d$ excitations from the Mn$^{3+}$ ground state, dominated by
charge-transferred states, rather than a Mn$^{2+}$ ground state. Unlike
archetypical $d$-$d$ excitation, the peak widths are broader than the
experimental energy resolution. We attribute the broadening to a finite
lifetime of the $d$-$d$ excitations, which decay rapidly to electron-hole pairs
in the host valence and conduction bands through hybridization of the Mn $3d$
orbital with the ligand band.
