Abstract
We calculate the wave-functions, energy shifts and widths of low lying protonium states using different optical potentials (Dover-Richard, Kohno-Weise). The importance of tensor and isospin coupling is studied and the initial state distortion is compared for protonium annihilation andp¯p annihilation in flight at low energy. We study the range of distances at which annihilation actually occurs in protonium. We also analyse the effect of the initial state interaction on two meson branching ratios and underline that it may dramatically change the predictions of those microscopic models which are based only on phase space and simple quark diagrams.
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Supported by a grant of the Deutsche Forschungsgemeinschaft G. Ihle would like to thank the Deutsche Forschungsgemeinschaft for the grant which enables his work in Grenoble and acknowledges the warm hospitality in the theory group at the ISN. We benefited from several discussions on exotic atoms with S. Wycech. We gratefully thank M. Kohno for providing us with his potential, C. Gignoux for the computer code to treat the coupled channel bound state problem and C.J. Batty for a clarifying remark on measuredP-wave widths. Stimulating discussions on the range of annihilation with I.S. Shapiro, A. Martin and T.E.O. Ericson are also gratefully acknowledged.