Four-Body Treatment of the Hydrogen-Antihydrogen System

University dissertation from Uppsala : Uppsala universitet

Author: Henrik Stegeby; Uppsala Universitet.; [2012]

Keywords: NATURVETENSKAP; NATURAL SCIENCES; Antimatter; antihydrogen; four-body system; Adiabatic approximation; Born-Oppenheimer; elastic scattering; stabilization method; resonance states; coupled arrangement channels; coupled rearrangement channels; Gaussian Expansion Method; Antimateria; antiväte; fyrkroppars system; adiabatisk approximation; stabilisationsmetoden; resonanstillstånd; spridningstillstånd; kopplade arrangemangskanaler; Quantum Chemistry; Kvantkemi;

Abstract: This thesis presents a nonadiabatic (4-body) description of the hydrogen-antihydrogen system at a nonrelativistic level. The properties of the system, the rearrangement processes and the possible existence of resonance states are investigated by using a variational method for coupled arrangement channels, the Gaussian Expansion Method, and the stabilization method.The 4-body basis set is optimized by means of prediagonalization of 2-body fragments. In paper I, a mass-scaling procedure of the Born-Oppenheimer potential is introduced for the description of the relative motion between hydrogen and antihydrogen. The nonadiabaticity of the system is investigated in paper II.

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