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Test experiments with pions.

As a second step we plan to determine the response function to monoenergetic lines in a special run with several pionic transitions in the energy region of interest. These lines should not be influenced by strong interaction or broadening by not resolved electron screening or any kind of Doppler effect. Therefore only transitions of exotic atoms formed with monoatomic gases with \( Z<11 \) can be used. Those do not exhibit Coulomb explosion during their formation and they have a high and well known degree of ionization at pressures below \( 100mbar \). Strong interaction broadening can be avoided for transitions high enough in the cascade. A list of appropriate transitions also including non-monoatomic gases is given in Table 9 for pionic atoms. Muonic atoms except muonic hydrogen should not be considered because of the one order of magnitude lower stop rate. It should be noted that the strong interaction \( 2p \) width is only of about \( 1meV \) for \( ^{3}He \) and \( 2meV \) for \( ^{4}He \) [82,83,84]. Molecular gases like \( O_{2} \) and \( N_{2} \) are included because at present the line form of these atoms is being studied intensively and will be much better known at the time of the proposal of this experiment. \( C \) is included as it will be used in the form of \( CH_{4} \) for which a small Coulomb explosion [85] energy can be expected.


Table 9: Possible in situ pionic calibration lines. Only circular transitions are considered. No higher energy lines are listed as they would require higher order Bragg reflection.
Element Transition Energy[\( eV \)]
\( ^{3} \)He \( 3\rightarrow 2 \) 1966
  \( 4\rightarrow 2 \) 2655
  \( 5\rightarrow 2 \) 2974
\( ^{^{4}} \)He \( 3\rightarrow 2 \) 1989
  \( 4\rightarrow 2 \) 2683
  \( 5\rightarrow 2 \) 3001
C \( 5\rightarrow 4 \) 2973
N \( 6\rightarrow 5 \) 2203
O \( 6\rightarrow 5 \) 2876
Ne \( 7\rightarrow 6 \) 2719


A dedicated run is foreseen with a special pion stop mode. In this case the pion stop rate can be further optimized as the simultaneous measurement of muonic transitions is not required. The expected rates for a mixed (\( N_{2}/O_{2}) \)target are given in chapter 3.6. The numbers for independent single gas measurements are a factor of 2 higher.


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Next: The two-crystal set-up. Up: Calibration of the spectrometer. Previous: Testing and tuning of   Contents
Pionic Hydrogen Collaboration
1998