Abstract (eng)
CPT symmetry, which is one of the most fundamental symmetries in physics, has so far resisted all attempts at falsification. Nevertheless, common extensions of the Standard Model, like string theory and quantum gravity, do not necessarily conserve CPT symmetry. Thus, searching for CPT violations at low energies may be a good method to discover physics beyond the Standard Model. A sign of this phenomena would be a deviation between the hyperfine structure of hydrogen and anti-hydrogen. The ASACUSA (Atomic Spectroscopy And Collisions Using Slow Antiprotons) collaboration realised a Rabi-like hyperfine spectroscopy experiment for this reason. There, positrons and anti-protons are mixed together in a nested Penning trap inside a special magnetic field configuration, a so-called double CUSP trap, to form bound states, before they are released into the beam-line apparatus. The quantum states of these anti-hydrogen atoms cannot be measured easily, however the 3-body recombination process, through which they are formed, is likely to produce excited Rydberg states, upon creation. As the hyperfine measurement can only be performed with ground state antihydrogen, it is important to be able to assess the antihydrogen atoms decay rate in the specific spectrometer apparatus of the ASACUSA experiment. This work contains various Monte-Carlo simulations of antihydrogen propagation through the ASACUSA beam-line, which traces the quantum states, the position and the velocity of the atoms. Eight billion antihydrogen atoms were simulated for this reason on a cluster. These are the first simulations that considered the current beam line setup, the double CUSP trap and an accurate initial n-state distribution. The magnetic field, which has an impact on the trajectory and the decay rates, is contained in the simulation. In the results, the influence of the initial principal quantum number and the sextupole magnetic field, used for spin analysis in the Rabi-type set up, are discussed in particular. Different initial velocities are compared with each other, and characteristics such as the signal to noise ratio, or the signal intensity, are specified. Furthermore, the feasibility of additionally using the electric field information is presented. The implementation of the influence of the electric field on the decay rates of Rydberg states, have been completed and tested in principle.