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Photoionization of a Xe atom confined inside C$_{60}$ has been studied usingthe random phase approximation with exchange (RPAE) method. The C$_{60}$fullerene has been descr ibed by an attractive short range spherical well withpotential $V(r)$, given by $V(r)=-V_ 0$ for $r_i<r<r_0$, otherwise $V(r)=0$where $r_i$ and $r_0$ are respectively, the inner and outer radii of thespherical shell. The radial parts of the wave funct ion in the three regions$r<r_i$, $r_i<r<r_0$ and $r>r_0$ have been obtained by solving theSchr\"{o}dinger equation using both regular and irregular solutions and thecontinuous boundary conditions at $r_i$ and $r_0$. The photoionization crosssections for the Xe 4d, $5s$ and $5p$ ele ctrons in the Xe@C$_{60}$ endohedralmolecule have been evaluated and compared with those of the photoionization forthe free Xe atom and other previo us calculations for the Xe@C$_{60}$fullerene. Our method surmounted the weaknesses of the previous model potentialcalculation s and demonstrated significantly stronger correlated confinementresonances for the Xe@C$_{60}$ photoionization.

Random phase approximation with exchange for the photoionization of confined atoms: Xe in C_{60} fullerene