Combined analysis of and data.

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Combined analysis of $\mu ^{-}p$ and $\pi ^{-}p$ data.

The comparison of the calculated Doppler broadening of the $\mu ^{-}p$ $K\alpha$ and $K\beta$ lines with the result of the proposed experiment will allow us to perform a fine tuning of the Coulomb and deceleration rates. The $\pi ^{-}p$ data on the kinetic energy distribution obtained with the nToF method will also be used for this goal. By transferring this information into the $\pi ^{-}p$ part of the cascade calculations we are confident that the current uncertainties in the calculated energy distributions of the $\pi ^{-}p$ atom at the instant of the X-ray transitions will be reduced to the level allowing to predict the Doppler broadening correction to the X-ray lines profile with an error of better than 1% in the hadronic width.

Pionic Hydrogen Collaboration
1998