Influence of external electric fields on multi-photon transitions between the 2s, 2p and 1s levels for hydrogen and antihydrogen atoms and hydrogen-like ions

Abstract

One-and two-photon transitions in the hydrogen atom are analytically evaluated in the absence and in the presence of an external electric field. The emission probabilities are different for the hydrogen (H) and antihydrogen (H) atoms due to the existence of contributions, linear in electric field. The magnitude of these contributions is evaluated within the nonrelativistic limit. The Coulomb Green function method is applied. Different nonrelativistic "forms" for the decay probabilities in combination with different gauge choices are considered. The three-photon E1E1E1 2p-1s transition probability is also evaluated and possible applications of the results are discussed. PACS number(s): 31.30. Jv, 12.20. Ds,

Rydberg-state mixing in the presence of an external electric field: Comparison of the hydrogen and antihydrogen spectra

“…As it was shown in [9,10], the mixing of 2s and 2p states by an external electric field in the hydrogen atom can lead to an essential modification of the transition probabilities. This modification is determined by the terms linear and quadratic in the field.…”

“…In turn, the term quadratic in the field contributes to the corresponding level width but is the same for the H andH atoms. Below we apply the technique developed in [9,10] and consider the influence of an external electric field on the decay rates of ns Rydberg states.…”

“…The amplitude of the one-photon transition in the Pauli approximation can be written in the form [10] …”

“…Recently, spectra of the hydrogen and antihydrogen atoms were compared in the case of the presence of an external electric field [9,10], where the one-and two-photon transition * solovyev.d@gmail.com rates for the decays of mixed 2s and 2p states were evaluated. It was shown that the term linear in the field arising in the differential transition probability leads to a significant difference of the H andH spectra.…”

“…Employing the technique of [9,10], in this paper we evaluate the transition probabilities for the decays of highly excited states. In particular, in Sec.…”