High-precision calculation of antiprotonic helium atomcules and antiproton mass

We showed a new possibility to determine the basic constants concerned with antiproton by high-accuracy calculations of the transition wave-length of antiprotonic helium atoms (p-barHe+, atomcule in short). The Coulomb three-body calculation having large interacting angular momenta of J∼35 was carried out by a non-adiabatic coupled rearrangement channel method. Relativistic and QED corrections on the energies were calculated up to the second order perturbation. Excellent agreement with experimental data was obtained. With this agreement the antiproton mass (charge) were determined with the precision of 10-7. The observed transition wavelengths are systematically redshifted from the calculated value. These shifts couldn't be explained by a binary collision with simple attraction between the atomcule and medium He. (author)