Relativistic antihydrogen production
H. Meier1 - Z. Halabuka1 - K. Hencken1 - D. Trautmann1 - G. Baur2
1 Institut für Physik der Universität Basel,
CH-4056 Basel, Switzerland
2 Institut für Kernphysik (Theorie), Forschungszentrum Jülich, D-52425 Jülich, Germany
Received: 19 December 1997 / Published online: 10 March 1998
Antihydrogen has recently been produced in collisions of antiprotons with ions. While passing through the Coulomb field of a nucleus an antiproton will create an electron-positron pair. In rare cases the positron is bound by the antiproton and an antihydrogen atom produced. We calculate the production of relativistic antihydrogen atoms by bound-free pair production. The cross section is calculated in the semiclassical approximation (SCA), or equivalently in the plane wave Born approximation (PWBA) using exact Dirac-Coulomb wave functions. We compare our calculations to the equivalent photon approximation (EPA).