Accurate spline solutions for the Dirac equation with a parity-nonconserving potential

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,

Section: Introductionmentioning

confidence: 99%

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

Sharipov¹,

Labzowsky²,

Plunien³

2010

“…A quantum mechanical phenomenological description of the line profile (Lorentz profile) is known since 1930 [16], [17]. A QED derivation of the Lorentz profile for the transition between two excited states was given in [13], [18]. The corresponding expression for the transition a → a 1 looks like [18]:…”

Section: A Emission Line Profile For the Transitions Between Two Arbmentioning

confidence: 99%

“…The modifications of the theory necessary to describe the two-photon transitions with cascades were discussed in [13] (see also [11], [18]).…”

Section: A Qed Theory Of the Two-photon Transitionsmentioning

confidence: 99%

“…We start with the derivation of the Lorentz profile for the emission line from the QED description of the photon scattering on the atomic electron [13], [19]. The Feynman graph for the one-photon scattering process is depicted in Fig.…”

Section: Appendix B Reemission Of the Photon Emitted By One Atom Bmentioning

confidence: 99%

“…As it was proved in [11] the separation of the "pure" two-photon emission for the ns(n > 2) and nd levels is an ambiguous procedure. First this ambiguity was established for the two-photon transitions with cascades in the highly charged ions [13]. To reach the level of accuracy 0.1% for the theoretical description of the properties of the CMB many effects should be taken into account in the astrophysical equations describing the radiation "escape" process: consequences of the universe expansion, thermodynamical properties, induced radiation, processes of the electron scattering, Raman scattering etc.…”

mentioning

confidence: 99%

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QED model of the radiation escape from matter

Zalialiutdinov¹,

Labzowsky²

2012

A simple model based on QED is presented for the estimation of contribution of the excited level few-photon decays to the radiation escape from the matter in the epoch of the cosmological hydrogen recombination. It is shown that apart from the widely studied two-photon decays, some specific 3-photon decays can contribute on the level of 0.1% accuracy, required by the recent astrophysical observations. I. INTRODUCTIONTheory of the cosmological hydrogen recombination became one of the most intensively discussed fundamental physics problems in the last decade. The interest comes from the accurate measurements of the asymmetry in the temperature and polarization distribution of the Cosmic Microwave Background (CMB) [1], [2]. The launching of the Planck Surveuor which enables to perform these measurements with accuracy 0.1% makes the situation even more intriguing.The modern theory of the cosmological hydrogen recombination starts from the papers by Zel'dovich, Kurt and Sunyaev [3] and by Peebles [4]. It was argued that the bound-bound one-photon transitions from the upper levels to the lower ones did not permit the hydrogen atoms to reach their ground states: each photon released in such transition in one atom was immediately absorbed by another atom. These reabsorption processes did not allow the radiation to "escape" the interaction with the matter. As it was first established in [3], [4] the two-photon 2s-1s transition presents the main channel for the radiation "escape" and formation of the CMB. This transition also led to the final hydrogen recombination. Hence, the recent properties of the CMB are essentially defined by the two-photon processes during the cosmological recombination epoch.In [5] the importance of the two-photon decays from excited states with n > 2 for the detailed analysis of the properties of CMB was noted. Over the past few years the theory of cosmological recombination was essentially detalized by many authors. In particular, in [5], [6] it was demonstrated that the two-photon transitions ns → 1s(n > 2) and nd → 1s can also give a sizeable contribution to the radiation "escape". There is a difference between the decay of ns(n > 2), nd states and the decay of the 2s state. This difference is due to the presence of cascade transitions as the dominant decay channels in the cases of ns(n > 2) and nd levels. For the 2s level the cascade transitions are absent. The cascade photons can be effectively reabsorbed and therefore the problem of separation of the "pure" two-photon emission from the cascade photons arises in connection with the "escape" probability. This problem was intensively discussed during the last decade [7]- [12]. As it was proved in [11] the separation of the "pure" two-photon emission for the ns(n > 2) and nd levels is an ambiguous procedure. First this ambiguity was established for the two-photon transitions with cascades in the highly charged ions [13]. To reach the level of accuracy 0.1% for the theoretical description of the properties of the CMB many effects should be taken ...

QED calculation ofE1M1 andE1E2 transition probabilities in one-electron ions with arbitrary nuclear charge

Labzowsky

Shonin

Solovyev

2005

The quantum electrodynamical theory of the two-photon transitions in hydrogenlike ions is presented. The emission probability for 2s1/2 → 2γ(E1) + 1s1/2 transitions is calculated and compared to the results of the previous calculations. The emission probabilities 2p1/2 → γ(E1) + γ(E2) + 1s1/2 and 2p1/2 → γ(E1) + γ(M1) + 1s1/2 are also calculated for the nuclear charge Z values 1 ⩽ Z ⩽ 100. This is the first calculation of the two latter probabilities. The results are given in two different gauges.