Angle-resolved photoelectron spectra of metal cluster anions within a many-body-theory approach

A consistent many-body theory based on the jellium model is applied for the description of angular resolved photoelectron spectra of metal clusters anions. The results of calculations demonstrate the dominant role of the many-body effects in the formation of angular distributions of photoelectrons emitted from sodium clusters and are in a good agreement with recent experimental data. The concrete comparison of theory and experiment has been performed for the photoionization of Na${}_7$${}^{-}$ and Na${}_{19}$${}^{-}$ anions being characterized by the entirely closed shells of delocalized electrons.

Figure 1

Angular anisotropy parameter $\beta$ for the partial photoionization cross section of the Na${}_7$${}^{-}$ cluster versus photon energy; solid line is a result of the HF approach derived in this work (length form); dotted line is a result of a single-particle approach used in [4]; A, B, C are the experimentally measured dependencies [4].

Figure 2

Angular anisotropy parameter $\beta$ for the partial photoionization cross section of the Na${}_7$${}^{-}$ cluster versus photon energy; solid line is a result of the RPAE calculation accounting for many-electron correlations (length and velocity forms are completely consisted); A,B,C are the experimentally measured dependencies from [4].

Figure 3

Angular anisotropy parameter $\beta$ for the partial photoionization cross section of the Na${}_{19}$${}^{-}$ cluster versus energy of photon; solid and dotted lines are the RPAE results, dash-dotted line presents HF results in the lengths form; dependencies B,C,D,E are the experimental data [4].