Speaker
Dr
Vladimir Korobov
(Joint Institute for Nuclear Research)
Description
A numerical method to calculate the Bethe logarithm for resonant states is developed. To this end we exploit the Complex Coordinate Rotation (CCR) formalism to describe resonances as time-independent solutions of the Schroedinger equation. To get a proper expression for the Bethe logarithm calculations we apply the generalization of the second order perturbation theory to isolated CCR eigenstates. Using the elaborated method we perform a systematic calculation of the Bethe logarithm for metastable states in the antiprotonic helium atoms with precision of about 7 significant digits. This precision eventually results in a relative uncertanty of ro-vibrational transition frequencies at a level of 10^{-11}.
Primary author
Dr
Vladimir Korobov
(Joint Institute for Nuclear Research)