Photoionization of Xe confined in C$_{60}$

The photoionization cross section for the endohedral Xe@C$_{60}$ atom is investigated by modeling the C$_{60}$ as an attractive short range spherical shell with potential $V(r)$, given by $V(r)=-V_0$ for $r_ir_0$ have been obtained by solving the Schr$\ddot{o}$dinger equation analytically with the continuous boundary conditions ar $r_i$ and $r_0$. The photoionization cross sections for the Xe 4d giant resonance inside C$_{60}$ using our model potential differ significantly when compared with the results of a $\delta$-like potential well.