Photoionization studies of Cd@C$_{60}$

Atoms trapped in fullerene (A@C$_{60})$ cages have attracted considerable attention in the recent past owing to their importance in many areas of physics [1]. The additional potential due to the fullerene cage causes significant changes to atomic ionization probabilities by inducing confinement oscillations in the photoionization parameters [2]. The existence of such oscillations has been verified in a recent experiment [3]. These developments have motivated us to extend our studies of the effect of confinement on the photoionization process. We study the photoionization of Cd which is trapped inside a fullerene molecule (Cd@C$_{60})$ to understand the combined effect of confinement, correlation and relativistic effects on photoionization in such endohedral system. The fullerene potential is simulated by using a spherical shell model potential. In the present work, the Relativistic Random Phase approximation (RRPA) method is employed to determine the photoionization parameters [4].\\[4pt] [1] M.Ya. Amusia, A. S. Baltenkov and U. Becker, Phys. Rev. A \textbf{62} 012701 (2000).\\[0pt] [2] J.P. Connerade, V. K. Dolmatov and S. T. Manson J. Phys. B \textbf{32} 2279 (2000).\\[0pt] [3] A. Muller, \textit{et al, }Phys. Rev. Lett.105, 21300 (2010).\\[0pt] [4] W. R. Johnson and C. D. Lin, Phys. Rev. A \textbf{20 }964 (1979).