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Related papers: Improved theory of helium fine structure

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The integer quantum Hall effect is a well-studied phenomenon at frequencies below about 100 Hz. The plateaus in high-frequency Hall conductivity were experimentally proven to retain up to 33 GHz, but the behavior at higher frequencies has…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 V. Dziom , A. Shuvaev , A. V. Shchepetilnikov , D. MacFarland , G. Strasser , A. Pimenov

We calculate the dependence of atomic transition frequencies on the fine structure constant, $\alpha = e^2/\hbar c$, for some ions of Ti, Mn, Na, C, and O. The results of these calculations will be used in the search for variation of alpha…

Astrophysics · Physics 2007-05-23 J. C. Berengut , V. A. Dzuba , V. V. Flambaum , M. V. Marchenko

We here concentrate on available $\pi^\pm$ and $K^\pm$ ALICE preliminary $R_{AA}$ data in central 2.76 TeV Pb+Pb collisions at LHC. These data show an interesting fine resolution hierarchy, i.e. the measured $K^\pm$ data have consistently…

Nuclear Theory · Physics 2015-06-16 Magdalena Djordjevic , Marko Djordjevic

The complete second-order hyperfine-interaction correction is calculated for centroid energy levels of H, D, and $^3$He atoms. For $^3$He, the corrections of $-2.075$~kHz and $-0.305$~kHz beyond the leading hyperfine-mixing contribution are…

Atomic Physics · Physics 2024-12-10 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

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

Rigorous quantum electrodynamical calculation is presented for energy levels of the 1^1S, 2^1S, 2^3S, 2^1P_1, and 2^3P_{0,1,2} states of helium-like ions with the nuclear charge Z=3...12. The calculational approach accounts for all…

Atomic Physics · Physics 2015-05-14 Vladimir A. Yerokhin , Krzysztof Pachucki

We have derived the complete formula for the $\alpha^7\,m$ contribution to energy levels of an arbitrary triplet state of the helium atom, performed numerical calculations for the $2^3S$ and $2^3P$ states, and thus improved the theoretical…

Atomic Physics · Physics 2021-04-14 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

The hyperfine structure splittings of the ground states of the $pd\mu, pt\mu$ and $dt\mu$ ions are determined with the use of highly accurate expectation values of the interparticle delta-functions obtained in recent computations. The…

Atomic Physics · Physics 2012-05-22 ALexei M. Frolov

With four electrons, He$_2$ is one of very few molecules for which first-principles quantum-chemical calculations that include the treatment of nonadiabatic, relativistic and quantum-electrodynamics corrections are possible. Precise…

Atomic Physics · Physics 2025-08-25 V. Wirth , M. Holdener , F. Merkt

Measurements of energy separations in highly charged ions can in many cases nowadays be performed with very high accuracy, an accuracy that sometimes cannot be matched by the corresponding theoretical calcula- tions. Furthermore, it has…

Atomic Physics · Physics 2013-01-01 Ingvar Lindgren , Sten Salomonson , Johan Holmberg

We present results for the binding energies for ^4He and ^3He nuclei calculated in quenched lattice QCD at the lattice spacing of a =0.128 fm with a heavy quark mass corresponding to m_pi = 0.8 GeV. Enormous computational cost for the…

High Energy Physics - Lattice · Physics 2011-09-14 T. Yamazaki

Measurements of the difference between the squared charge radii of the helion ($^3$He nucleus) and the $\alpha$-particle ($^4$He nucleus) have been characterized by longstanding tensions, recently spotlighted in the 3.6 $\sigma$ discrepancy…

Nuclear Theory · Physics 2025-08-05 Simone Salvatore Li Muli , Thomas R. Richardson , Sonia Bacca

Precision comparisons of different atomic frequency standards over a period of a few years can be used for a sensitive search for temporal variations of fundamental constants. We present recent frequency measurements of the 688 THz…

Atomic Physics · Physics 2008-11-25 E. Peik , B. Lipphardt , H. Schnatz , Chr. Tamm , S. Weyers , R. Wynands

High precision variational calculations in Hylleraas coordinates are presented for all singlet and triplet $P$-states of helium up to principal quantum number $n = 35$ with a uniform accuracy of 1 part in $10^{22}$ for the nonrelativistic…

Atomic Physics · Physics 2025-10-27 G. W. F. Drake , Aaron T. Bondy , Oliver P. Hallett , Benjamin C. Najem

In the framework of the quasipotential method we calculate the contributions of the kind (Z\alpha)^6m_e^2/m_\mu to the energy spectrum of the muonium n^3S_1 states. Numerical value of obtained correction for 2^3S_1-1^3S_1 muonium fine…

High Energy Physics - Phenomenology · Physics 2011-08-11 R. N. Faustov , A. P. Martynenko

We investigate the $2\,^3\!S_1$--$2\,^3\!P_J$ ($J = 0, 1, 2$) transitions in $\rm^6Li^+$ using the optical Ramsey technique and achieve the most precise values of the hyperfine splittings of the $2\,^3\!S_1$ and $2\,^3\!P_J$ states, with…

Comparison of high accuracy calculations with precision measurement of the 413 nm tune-out wavelength of the He($2\,^3S_1$) state provides a unique test of quantum electro-dynamic (QED). We perform large-scale…

Theoretical predictions for the Lamb shift in helium are limited by unknown quantum electrodynamic effects of the order $\alpha^7m$, where $\alpha$ is the fine-structure constant and $m$ is the electron mass. We make an important step…

High Energy Physics - Phenomenology · Physics 2021-02-16 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

Positronium is an ideal system for the research of the quantum electrodynamics (QED) in bound state. The hyperfine splitting (HFS) of positronium, $\Delta_{\mathrm{HFS}}$, gives a good test of the bound state calculations and probes new…

Atomic Physics · Physics 2015-05-28 A. Ishida , Y. Sasaki , G. Akimoto , T. Suehara , T. Namba , S. Asai , T. Kobayashi , H. Saito , M. Yoshida , K. Tanaka , A. Yamamoto

We provide an up to date summary of the theory contributions to the 2S-2P Lamb shift and the fine structure of the 2P state in the muonic helium ion $(\mathrm{\mu^4He})^+$. This summary serves as the basis for the extraction of the alpha…

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