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Next: Constraints from the velocity Up: Results of simulation tests. Previous: Independent fits.   Contents

Correlated fits.

The next step was to check how the independent fits can be improved by fitting the \( \pi H_{2\rightarrow 1} \) and the \( \pi H_{3\rightarrow 1} \) transition together by keeping the value for \( \Gamma _{L} \) identical for both spectra. This has been done for the intensity value of 10000 and 20000 entries each. As a result a reduction of the relative error from 3.3(3.4) % to 2.4% is obtained with a statistics of 10000 entries. The higher statistics of 20000 results in a reduction of the relative error from about 2.4 % to 1.9 %.

The only modest gain shows again how the accuracy of the fit results is influenced by the unknown Doppler broadening.

Pionic Hydrogen Collaboration