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As is seen from this Table the main uncertainty comes from the Auger width of the daughter (38,34) state. u. u. 39 6 Conclusions 1. Theoretical uncertainty reaches the level close to the uncertainty in the antiproton (proton) mass value. Further improvement both in theory and experiment could bring us a new value for the antiproton mass, which would be more accurate than for the proton! 2. Radiative "recoil" correction for the bound antiproton should be considered. It is expected that it should be small but not negligible and should result mainly from exchange photons of small energies.
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