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Angular resolved photoelectron spectra of metal clusters have beenexperimentally measured for the first time only recently. These measurementshave been performed systematically for sodium clusters in a broad range ofcluster sizes. This work attracted a lot of attention and was reportedpractically at all major international cluster conferences because it revealeda very non-trivial behavior of the angular anisotropy parameter with respect tophoton energy and provided a method for probing the angular momentum characterof the valence orbitals of free nanoclusters. Initial attempts to explain theseobservations within single particle approximations fail completely. In thisLetter we present a consistent many-body theory for the description of angularresolved photoelectron spectra of metal clusters. Jellium model formalism isemployed. Our calculations demonstrate the dominant role of the many-bodyeffects in the formation of angular distributions of photoelectrons emittedfrom sodium clusters and are in a good agreement with experimental datareported in. The concrete comparison of theory and experiment has beenperformed for the photoionization of $Na_7^{-}$ and $Na_{19}^{-}$ anions beingcharacterized by the entirely closed shells of delocalized electrons.

Many-body theory for angular resolved photoelectron spectra of metal clusters