next up previous contents
Next: Bibliography Up: Proposal for an experiment Previous: List of Figures   Contents

List of Tables

  1. The $\pi N$ scattering lengths (in units $m_{\pi }^{-1}$).
  2. Different processes influencing the cascade together with their dependence on kinetic energy \( T\) of the \( \pi ^{-}p\) atom and the target pressure.
  3. Calculated absolute yields (%) of muonic and pionic hydrogen \( K\)-transition.
  4. Physical properties of the Bragg crystals available for the experiment.
  5. Pionic and muonic hydrogen X-rays are listed together with the Bragg angles of relevant single crystals.
  6. The number of expected X-ray events/h is given for different transitions. The two pressures indicate the two typical pressure regions \( 1-3\) bar and \( 15-40\) bar. A stop rate reduction by a factor of ten is assumed for muons. The integrated reflectivity of the Si crystal used for Figure 6 was 73 \( \mu rad\). The error in the quoted number of events is estimated to be on the level of 20%.
  7. Energies and line widths (FWHM) are given both for one-electron MCDF code (fully relativistic, with QED corrections and finite nuclear size) [75,76,77,78] and fluorescence transitions [79] for different Z. The mass M is in nuclear mass units. The Gaussian width \( \Gamma _{Max}\) (FWHM) caused by a Maxwellian velocity distribution of the ECR plasma is calculated for an ion temperature of \( 5eV\) per charge. The widths for the fluorescence lines are from ref [73].
  8. Transition energies and widths for He-like transitions in the energy region covered by the crystal spectrometer.
  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.
  10. Mean Bragg angle, angle and position difference of the pionic and muonic hydrogen lines together with the dispersion of the two crystals.
  11. The angle difference and the position difference for two calibration lines is given together with the dispersion of the two crystals at the mean Bragg angle.
  12. Fit results as a function of intensity. A \( 1\sigma \) error is given.
  13. List of responsabilities for the measurement of pionic hydrogen. The entries below the second row are in units of man years and are valid for the years 2000-2002. As nearly all members of the collaboration have other duties as well the man years do not add up to the number of people. ThCasc stands for a group consisting of physicists from the universities of Aarhus and Zürich as well as from PSI and ETH Zürich dealing mainly with the theoretical problems in the description of the cascade.
  14. List of the responsabilities for the pre-measurement with the ECR source. The entries below the second row are in units of manyears.
  15. List of main new investments from the collaborating institutes outside PSI.
  16. Money requested from PSI. The first four items are investments before the experiment with the pion beam starts. The corresponding money must be spent in the year 1999.

Pionic Hydrogen Collaboration