$3d$ resonant photoemission spectra at the Ce $L_3$ edge of ${\mathrm{CeRh}}_3$

We have measured the $3d$ resonant x-ray photoemission spectra of the mixed-valent intermetalic compound ${\mathrm{CeRh}}_3$ at the Ce $L_3$ ${(2p}_{3/2}\to 5d)$ edge. An impurity Anderson model with $4f-5d$ Coulomb interaction is employed to analyze theoretically these spectra. Full multiplet coupling effects including the $2p-3d5d$ Auger decay process are taken into account. Good agreement with experimental and calculated spectra is obtained. The existence of the ${4f}^2$ component hidden in the $L_3$ white line and the importance of the $4f-5d$ Coulomb interaction in the final state of $L_3$ absorption are confirmed.