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The photon-ion merged-beams technique was used at a synchrotron light sourcefor measuring absolute cross sections of double and triple photodetachment ofO$^{-}$ ions. The experimental photon energy range of 524-543 eV comprised thethreshold for K-shell ionization. Using resolving powers of up to 13,000, theposition, strength and width of the below-threshold 1s 2s2 2p6 2S resonance aswell as the positions of the 1s 2s2 2p5 3P and 1s 2s2 2p5 1P thresholds forK-shell ionization were determined with high precision. In addition,systematically enlarged multi-configuration Dirac-Fock calculations have beenperformed for the resonant detachment cross sections. Results from theseab-initio computations agree very well with the measurements for the widths andbranching fractions for double and triple detachment, if double shake-up (and-down) of the valence electrons and the rearrangement of the electron densityis taken into account. For the absolute cross sections, however, a previouslyfound discrepancy between measurements and theory is confirmed.

Prominent role of multi-electron processes in K-shell double and triple photodetachment of oxygen anions