Photoionization of Xe $3d$ electrons in molecule $\mathrm{Xe}@{\mathrm{C}}_{60}$: Interplay of intradoublet and confinement resonances

We demonstrate rather interesting manifestations of coexistence of resonance features in characteristics of the photoionization of $3d$ electrons in $\mathrm{Xe}@{\mathrm{C}}_{60}$. It is shown that the reflection of photoelectrons produced by the $3d$ Xe photoionization affects greatly partial photoionization cross sections of $3d_{5∕2}$ and $3d_{3∕2}$ levels and respective angular anisotropy parameters, both dipole and nondipole adding to all of them additional maximums and minimums. The calculations are performed treating the $3∕2$ and $5∕2$ electrons as electrons of different kinds with their spins “up” and “down.” The effect of ${\mathrm{C}}_{60}$ shell is accounted for in the frame of the “orange” skin potential model. It is essential that within the considered photon frequency region the presented resonance features are not affected by the ${\mathrm{C}}_{60}$ polarization.

Figure 1

(Color online) Photoionization cross sections of Xe $3d$ electrons, $3d\text{−}\epsilon f$ and $3d\text{−}\epsilon p$ transitions.

Figure 2

(Color online) Photoionization cross sections of $3d_{3∕2}$ and $3d_{5∕2}$ electrons in Xe and $\mathrm{Xe}@{\mathrm{C}}_{60}$.

Figure 3

(Color online) Dipole angular anisotropy parameter $\beta \left(\omega \right)$ for $3d_{3∕2}$ and $3d_{5∕2}$ electrons. The solid lines are the calculation result for the endohedral systems $\mathrm{Xe}@{\mathrm{C}}_{60}$. The corresponding curves near the photoionization threshold are presented in the insets of this figure and the next ones.

Figure 4

(Color online) Nondipole angular anisotropy parameter ${\gamma }^C\left(\omega \right)$ for $3d_{3∕2}$ and $3d_{5∕2}$ electrons.

Figure 5

(Color online) Nondipole angular anisotropy parameter ${\delta }^C\left(\omega \right)$ for $3d_{3∕2}$ and $3d_{5∕2}$ electrons.