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We demonstrate that the Auger decay rate in an endohedral atom is verysensitive to the atom's location in the fullerene cage. Two additional decaychannels appear in an endohedral system: (a) the channel due to the change inthe electric field at the atom caused by dynamic polarization of the fullereneelectron shell by the Coulomb field of the vacancy, (b) the channel withinwhich the released energy is transferred to the fullerene electron via theCoulomb interaction. % The relative magnitudes of the correction terms aredependent not only on the position of the doped atom but also on the transitionenergy $\om$. Additional enhancement of the decay rate appears for transitionswhose energies are in the vicinity of the fullerene surface plasmons energiesof high multipolarity. % It is demonstrated that in many cases the additionalchannels can dominate over the direct Auger decay resulting in pronouncedbroadening of the atomic emission lines. % The case study, carried out forSc$^{2+}$@C$_{80}^{6-}$, shows that narrow autoionizing resonances in anisolated Sc$^{2+}$ within the range $\om = 30... 45$ eV are dramaticallybroadened if the ion is located strongly off-the-center. % Using the developedmodel we carry out quantitative analysis of the photoionization spectrum forthe endohedral complex Sc$_3$N@C$_{80}$ and demonstrate that the additionalchannels are partly responsible for the strong modification of thephotoionization spectrum profile detected experimentally by  M\"{u}ller et al. (J. Phys.: Conf. Ser. 88, 012038 (2008)).

Vacancy decay in endohedral atoms: the role of non-central position of the atom