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We derive the relativistic Hamiltonian of hydrogen atom in dynamical noncommutative spaces (DNCS or {\tau}-space). Using this Hamiltonian we calculate the energy shift of the ground state and as well the [2P]_(1/2), [2S]_(1/2) levels. In…

High Energy Physics - Theory · Physics 2017-04-20 S. A. Alavi , N. Rezaei

We perform laser absorption spectroscopy with ultracold $^4$He atoms to measure the energy intervals between the $2^{3\!} P_2$ level and five levels in the n = 5 manifold. The laser light perturbs the cold atomic cloud during the production…

We perform the calculation of all relativistic and quantum electrodynamic corrections of the order of $\alpha^6\,m$ to the ground electronic state of a hydrogen molecule and present improved results for the dissociation and the fundamental…

Chemical Physics · Physics 2017-02-01 Mariusz Puchalski , Jacek Komasa , Pawel Czachorowski , Krzysztof Pachucki

It is shown that the non-relativistic ground state energy of helium-like and lithium-like ions with static nuclei can be interpolated in full physics range of nuclear charges $Z$ with accuracy of not less than 6 decimal digits (d.d.) or 7-8…

Atomic Physics · Physics 2017-11-27 Alexander V. Turbiner , Juan C. Lopez Vieyra , Horacio Olivares Pilon

New corrections to the energy of $S$-levels of positronium of order $m\alpha^6$ which are as large as several hundred kilohertz are obtained. A new recoil correction of order $\alpha(Z\alpha)^5(m/M)m$ to the Lamb shift in hydrogen is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael I. Eides , Howard Grotch

Using first-principles calculations, we identify magic wavelengths for the 2s-2p and 2s-3p transitions in lithium. The ns and np atomic levels have the same ac Stark shifts at the corresponding magic wavelength, which facilitates…

Atomic Physics · Physics 2015-06-05 M. S. Safronova , U. I. Safronova , Charles W. Clark

We provide a systematic assessment of the order-$\alpha^5$ nuclear contributions to the Lamb shift of muonic deuterium, including the accompanying radiative corrections due to vacuum polarization, up to next-to-next-to-next-to-leading order…

Nuclear Theory · Physics 2022-10-31 Vadim Lensky , Franziska Hagelstein , Vladimir Pascalutsa

We report high-precision calculations of the nuclear recoil effect to the Lamb shift of hydrogen-like atoms to the first order in the electron-nucleus mass ratio and to all orders in the nuclear binding strength parameter $Z\alpha$. The…

Atomic Physics · Physics 2015-12-15 V. A. Yerokhin , V. M. Shabaev

New unification theories predict Large Extra Dimensions (LEDs). If that is the case, gravity would be stronger at short ranges than what Newtonian gravity predicts. LEDs could also have effects at atomic level. In this paper we propose a…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Li zhigang , Wei-Tou Ni , Antonio Pulido Paton

The order $\alpha^4 (m/M) R_{\infty}$ shift of hydrogen P levels is found. The corrections are predominantly of relativistic origin. Our approach is a straightforward extension of that developed and applied by us previously to positronium P…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. A. Golosov , I. B. Khriplovich , A. I. Milstein , A. S. Yelkhovsky

We consider corrections to the Lamb shift of p-wave atomic states due to the finite nuclear size (FNS). In other words, these are radiative corrections to the atomic isotop shift related to FNS. It is shown that the structure of the…

Atomic Physics · Physics 2009-11-07 A. I. Milstein , O. P. Sushkov , I. S. Terekhov

A measurement of the Lamb shift of 49,881.88(76) GHz in muonic hydrogen in conjunction with theoretical estimates of the proton structure effects was recently used to deduce an accurate but rather small radius of the proton. Such an…

High Energy Physics - Phenomenology · Physics 2015-06-04 N. G. Kelkar , F. Garcia Daza , M. Nowakowski

The final-state spectrum of $\beta$ decaying tritium anions T$^-$ was calculated. The wavefunctions describing the initial T$^-$ ground state and the final $^3$He states were obtained by the full configuration-interaction method. The…

Atomic Physics · Physics 2015-05-14 Alexander Stark , Alejandro Saenz

The quantum electrodynamical theory of the three-photon transitions in hydrogen-like ions is presented. Emission probabilities of various three-photon decay channels for $ 2p_{3/2} $, $ 2p_{1/2} $ and $ 2s_{1/2} $ states are calculated for…

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

The electric multipole strength distributions for transitions from the ${}^{12}\mathrm{C}(0_1^+)$ ground state to $3\alpha$ ($0^+$, $1^-$, $2^+$, and $3^-$) continuum states are studied in terms of $3\alpha$ model. Several sets of the…

Nuclear Theory · Physics 2025-07-15 Souichi Ishikawa

The alpha-particle energy deposition mechanism modifies the ignition conditions of the thermonuclear Deuterium-Tritium fusion reactions, and constitutes a key issue in achieving high gain in Inertial Confinement Fusion implosions.…

Plasma Physics · Physics 2017-08-02 Mauro Temporal , Benoit Canaud , Withold Cayzac , Rafael Ramis , Robert L. Singleton

Contribution of order \alpha^2 (Z \alpha)^6 \ln^3(Z \alpha)^{-2} to the ground-state Lamb shift in hydrogen induced by the loop-after-loop diagram is evaluated analytically. An additional contribution of this order is found compared to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Vladimir A. Yerokhin

An explanation of the difference of the charge radius of the proton as determined from the Lamb shift in electronic hydrogen and from elastic electron scattering off the proton on the one side and the recent high precision determination…

Atomic Physics · Physics 2012-10-25 Thomas Walcher

We calculate the propagator and the transition probabilities for a coherently driven three-state quantum system. The energies of the three states change linearly in time, whereas the interactions between them are pulse-shaped. We derive a…

Quantum Physics · Physics 2009-11-13 S. S. Ivanov , N. V. Vitanov

{\it Ab initio} calculation of the total cross section for the reactions $^{4}\rm{He}(\gamma,p)^3\rm{H}$ and $^{4}\rm{He}(\gamma,n)^3\rm{He}$ is presented, using state-of-the-art nuclear forces. The Lorentz integral transform (LIT) method…

Nuclear Theory · Physics 2014-08-05 Nir Nevo Dinur , Winfried Leidemann , Nir Barnea