Relativistic antihydrogen production by pair production with positron capture
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Antihydrogen atoms may rarely be produced by the collision of antiprotons with ions. At relativistic velocities the antiproton may pass around the Coulomb field of the nucleus and the electron-positron pairs can be produced electromagnetically. After this pair production not so often positron can be captured by the antiproton and as a result antihydrogen atoms may be produced. In this work we have calculated the antihydrogen production cross section in the framework of perturbation theory by applying Monte-Carlo integration techniques. In order to compute the lowest-order Feynman diagrams amplitudes we used Darwin wave functions for the bound states of the positrons and Sommerfeld-Maue wave functions for the continuum states of the electrons. (C) 2012 Elsevier B.V. All rights reserved.