Classical analysis of recombination of antihydrogen in a strong magnetic field

Basing on numerical simulation of classical trajectories, the influence of a strong magnetic field on the rate of the spontaneous radiative recombination of antihydrogen atoms in cold antiproton-positron plasma is theoretically studied under the conditions of the ATHENA and ATRAP experiments carried out in CERN. The effect of the magnetic field is estimated by Monte-Carlo calculation of the change in the cross section of the positron hitting the near-nucleus region with the radius typical for the atomic ground state. Although the trajectory of the positron in the magnetic and Coulomb fields is shown to be rather complicated, and the positron may pass by the nucleus many times, no significant influence of the magnetic field on the recombination rate was found within the approximations used.