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Contributions to the energy levels in light muonic atoms and, in particular, to the Lamb shift fall into a few well-distinguished classes. The related diagrams are calculated using different approaches. In particular, there is a specific…

Atomic Physics · Physics 2014-11-04 S. G. Karshenboim , V. G. Ivanov , E. Yu. Korzinin , V. A. Shelyuto

We have calculated the energy levels of the hydrogen atom and as well the Lamb shift within the noncommutative quantum electrodynamics theory. The results show deviations from the usual QED both on the classical and on the quantum levels.…

High Energy Physics - Theory · Physics 2009-10-07 M. Chaichian , M. M. Sheikh-Jabbari , A. Tureanu

The nuclear size effect on the one-loop self energy and vacuum polarization is evaluated for the 1s, 2s, 3s, 2p_{1/2}, and 2p_{3/2} states of hydrogen-like ions. The calculation is performed to all orders in the binding nuclear strength…

Atomic Physics · Physics 2015-05-20 Vladimir A. Yerokhin

The complete contribution of diagrams with the light-by-light scattering to the Lamb shift is found for muonic hydrogen, deuterium and helium ion. The results are obtained in the static muon approximation and a part of the paper is devoted…

Atomic Physics · Physics 2014-11-04 S. G. Karshenboim , E. Yu. Korzinin , V. G. Ivanov , V. A. Shelyuto

Recent improvements in the determination of the running of the fine-structure constant also allow an update of the hadronic vacuum-polarization contribution to the Lamb shift. We find a shift of -3.40(7) kHz to the 1S level of hydrogen. We…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

The measurement of the Lamb shift in muonic hydrogen and the subsequent emergence of the proton-radius puzzle have motivated an experimental campaign devoted to measuring the Lamb shift in other light muonic atoms, such as muonic deuterium…

Nuclear Theory · Physics 2018-08-29 Chen Ji , Sonia Bacca , Nir Barnea , Oscar Javier Hernandez , Nir Nevo-Dinur

General expressions for quantum electrodynamic corrections to the one-loop self-energy [of order alpha(Zalpha)^6] and for the two-loop Lamb shift [of order alpha^2(Z\alpha)^] are derived. The latter includes all diagrams with closed fermion…

Atomic Physics · Physics 2009-11-11 Andrzej Czarnecki , Ulrich D. Jentschura , Krzysztof Pachucki

Calculational results are presented for the fine-structure splitting of the 2^3P state of helium and helium-like ions with the nuclear charge Z up to 10. Theoretical predictions are in agreement with the latest experimental results for the…

Atomic Physics · Physics 2015-05-20 Krzysztof Pachucki , Vladimir A. Yerokhin

High-precision spectroscopy of simple atomic systems can be used to advance the theory of atomic energy levels but can also serve as a sensitive probe of nuclear charge radii. For this last purpose, we report an improved measurement of the…

Atomic Physics · Physics 2026-02-02 K. Steinebach , J. C. J. Koelemeij , H. L. Bethlem , K. S. E. Eikema

The radium atom is a promising system for studying parity and time invariance violating weak interactions. However, available experimental spectroscopic data for radium is insufficient for designing an optimal experimental setup. We…

Atomic Physics · Physics 2009-11-13 V. A. Dzuba , V. V. Flambaum

This dissertation presents the first theoretical investigation of the Lamb shift in a light-front hamiltonian approach: the dominant part of the splitting between the 2S(1/2) and 2P(1/2) energy levels in hydrogen is calculated. Also…

High Energy Physics - Phenomenology · Physics 2009-09-25 Billy D. Jones

The radiative correction to the nuclear charge radius contribution to the Lamb shift of order $\alpha(Z\alpha)^5m_r^3<r^2>$ is calculated. In view of the recent high precision experimental data, this theoretical correction produces a…

High Energy Physics - Phenomenology · Physics 2014-11-17 Michael I. Eides , Howard Grotch

The Lamb Shift (LS) of Hydrogenlike atom is evaluated by a simple method of quantum electrodynamics in noncovariant form, based on the relativistic stationary Schr\"odinger equation. An induced term proportional to $\overrightarrow{p}^4$ in…

Quantum Physics · Physics 2007-05-23 Guang-jiong Ni , Jun Yan

A theoretical investigation of the three-photon transition rates $ 2^1P_1\rightarrow 2^1S_0\;,1^1S_0 $ and $ 2^3P_2\rightarrow 2^1S_0\;,1^1S_0 $ for the helium atom is presented. Photon energy distributions and precise values of the…

Atomic Physics · Physics 2018-01-23 T. Zalialiutdinov , D. Solovyev , L. Labzowsky , G. Plunien

Highly precise variational calculations of non-relativistic energies of the (2p^2)^3P^e state of Helium atom are presented.We get an upper bound energy E=-0.71050015565678 a.u.,the lowest yet obtained.

Atomic Physics · Physics 2009-11-10 Tapan K. Mukherjee , Prasanta K. Mukherjee

Higher order $(\alpha/\pi)^2 (Z \alpha)^6$ logarithmic corrections to the hydrogen Lamb shift are calculated. The results obtained show the two-loop contribution has a very peculiar behavior, and significantly alter the theoretical…

Atomic Physics · Physics 2009-11-06 Krzysztof Pachucki

Several new corrections of order $m\alpha^6$ to the energy levels of $S$ states in helium are obtained from radiative corrections to the Breit potential and from the polarization insertions in the two photon exchange graphs. While…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael I. Eides , Howard Grotch

Laser spectroscopy of the low lying $^1$P and $^3$D states in atomic barium has been performed. This work contributes substantially to the development of an effective laser cooling and trapping for heavy alkaline earth elements and aims in…

Atomic Physics · Physics 2009-11-13 U. Dammalapati , S. De , K. Jungmann , L. Willmann

The phase transitions of liquid Helium 3 are described by truncations of an exact nonperturbative renormalization group equation. The location of the first order transition lines and the jump in the order parameter are computed…

Statistical Mechanics · Physics 2009-10-31 Markus Kindermann , Christof Wetterich

Transition frequencies and fine-structure splittings of the $2\,{}^3\!S_1 \rightarrow 2\,{}^3\!P_{\!J}$ transitions in helium-like $^{12}\mathrm{C}^{4+}$ were measured by collinear laser spectroscopy on a 1-ppb level. Accuracy is increased…