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For the interactions between a He($2 ^3S$) atom and a He($2 ^3P$) atom for like isotopes, we report perturbation theoretic calculations using accurate variational wave functions in Hylleraas coordinates of the coefficients determining the…

Atomic Physics · Physics 2007-05-23 J. -Y. Zhang , Z. -C. Yan , D. Vrinceanu , J. F. Babb , H. R. Sadeghpour

Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogen-like ions due to finite nuclear size (FNS) effects, relativistic QED radiative corrections and nuclear…

Atomic Physics · Physics 2023-06-06 Igor Kuzmenko , Tetyana Kuzmenko , Y. Avishai , Y. B. Band

Nonrelativistically forbidden, single-photon transition rates between low lying states of the helium atom are rigorously derived within quantum electrodynamics theory. Equivalence of velocity and length gauges, including relativistic…

Atomic Physics · Physics 2009-11-07 Grzegorz Lach , Krzysztof Pachucki

We present a variational approach to evaluate relativistic corrections of order \alpha^2 to the Bethe logarithm for the ground electronic state of the Coulomb two center problem. That allows to estimate the radiative contribution at…

Atomic Physics · Physics 2014-02-11 Vladimir I. Korobov , Laurent Hilico , Jean-Philippe Karr

The relativistic nuclear recoil corrections to the energy levels of low-laying states of hydrogen-like and high $Z$ lithium-like atoms in all orders in $\alpha Z$ are calculated. The calculations are carried out using the B-spline method…

Quantum Physics · Physics 2009-10-28 A. N. Artemyev , V. M. Shabaev , V. A. Yerokhin

We report a calculation of relativistic corrections of order $m\alpha^7$ to the Bethe logarithm for the $2^3S$ and $2^3P$ states of helium-like ions. The calculation is required for improving the accuracy of theoretical energies of…

Atomic Physics · Physics 2022-08-30 Vladimir A. Yerokhin , Vojtěch Patkóš , Krzysztof Pachucki

Research efforts ranging from studies of solid helium to searches for a neutron electric dipole moment require isotopically purified helium with a ratio of 3He to 4He at levels below that which can be measured using traditional mass…

We report the first measurement of the \eep three-body breakup reaction cross sections in helium-3 ($^3$He) and tritium ($^3$H) at large momentum transfer ($\langle Q^2 \rangle \approx 1.9$ (GeV/c)$^2$) and $x_B>1$ kinematics, where the…

Nuclear Experiment · Physics 2020-06-19 R. Cruz-Torres , D. Nguyen , F. Hauenstein , A. Schmidt , S. Li , D. Abrams , H. Albataineh , S. Alsalmi , D. Androic , K. Aniol , W. Armstrong , J. Arrington , H. Atac , T. Averett , C. Ayerbe Gayoso , X. Bai , J. Bane , S. Barcus , A. Beck , V. Bellini , F. Benmokhtar , H. Bhatt , D. Bhetuwal , D. Biswas , D. Blyth , W. Boeglin , D. Bulumulla , A. Camsonne , J. Castellanos , J-P. Chen , E. O. Cohen , S. Covrig , K. Craycraft , B. Dongwi , M. Duer , B. Duran , D. Dutta , E. Fuchey , C. Gal , T. N. Gautam , S. Gilad , K. Gnanvo , T. Gogami , J. Golak , J. Gomez , C. Gu , A. Habarakada T. Hague , O. Hansen , M. Hattawy , O. Hen , D. W. Higinbotham , E. Hughes , C. Hyde , H. Ibrahim , S. Jian , S. Joosten , H. Kamada , A. Karki , B. Karki , A. T. Katramatou , C. Keppel , M. Khachatryan , V. Khachatryan , A. Khanal , D. King , P. King , I. Korover , T. Kutz , N. Lashley-Colthirst , G. Laskaris , W. Li , H. Liu , N. Liyanage , P. Markowitz , R. E. McClellan , D. Meekins , S. Mey-Tal Beck Z-E. Meziani , R. Michaels , M. Mihovilovic , V. Nelyubin , N. Nuruzzaman , M. Nycz , R. Obrecht , M. Olson , L. Ou , V. Owen , B. Pandey , V. Pandey , A. Papadopoulou , S. Park , M. Patsyuk , S. Paul , G. G. Petratos , E. Piasetzky , R. Pomatsalyuk , S. Premathilake , A. J. R. Puckett , V. Punjabi , R. Ransome , M. N. H. Rashad , P. E. Reimer , S. Riordan , J. Roche , M. Sargsian , N. Santiesteban , B. Sawatzky , E. P. Segarra , B. Schmookler , A. Shahinyan , S. Sirca , R. Skibinski , N. Sparveris , T. Su , R. Suleiman , H. Szumila-Vance , A. S. Tadepalli , L. Tang , W. Tireman , K. Topolnicki , F. Tortorici , G. Urciuoli , L. B. Weinstein , H. Witala , B. Wojtsekhowski , S. Wood , Z. H. Ye , Z. Y. Ye , J. Zhang

Quantum electrodynamical (QED) calculations of ionization energies of the $1snd\,D$ states are performed for the helium atom. We reproduce the previously known relativistic and QED effects up to order $m\alpha^5$ and extend the theory by…

Atomic Physics · Physics 2020-07-14 Vladimir A. Yerokhin , Vojtěch Patkóš , Mariusz Puchalski , Krzysztof Pachucki

The range corrections to the universal properties and structure of two-neutron halo nuclei are investigated within an effective quantum mechanics framework. Treating the nucleus as an effective three-body system, we make a systematic…

Nuclear Theory · Physics 2015-05-14 David L. Canham , H. -W. Hammer

Changes in the mean-square nuclear charge radii along the lithium isotopic chain were determined using a combination of precise isotope shift measurements and theoretical atomic structure calculations. Nuclear charge radii of light elements…

The most precise to-date evaluation of the nuclear recoil effect on the $n=1$ and $n=2$ energy levels of He-like ions is presented in the range $Z=12-100$. The one-electron recoil contribution is calculated within the framework of the…

Atomic Physics · Physics 2018-04-03 A. V. Malyshev , R. V. Popov , V. M. Shabaev , N. A. Zubova

Finite nuclear mass $(Z\,\alpha)^2\,m/M\,E_F$ corrections to the hyperfine splitting in hydrogenic systems are calculated using a combined relativistic heavy particle and nonrelativistic quantum electrodynamics. The obtained results are in…

Atomic Physics · Physics 2026-03-24 Jakub Hevler , Andrzej Maroń , Krzysztof Pachucki

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

We report a high-precision determination of the natural-abundance-averaged nuclear charge-radius difference between Yb and Lu using extreme ultraviolet (EUV) spectroscopy of highly charged ions (HCIs). By measuring the $D_1$ transition…

The reduced-mass dependence of relativistic and radiative effects in simple muonic bound systems is investigated. The spin-dependent nuclear recoil correction of order (Zalpha)^4 mu^3/m_N^2 is evaluated for muonic hydrogen and deuterium,…

Atomic Physics · Physics 2012-06-29 U. D. Jentschura

Recent measurements of the ionization energies of the Rydberg $^1P$ states of helium for principal quantum number $n = 24$ and higher present a new challenge to theoretical atomic physics. A long-standing obstacle to high precision atomic…

Precision spectroscopy of simple atomic systems has refined our understanding of the fundamental laws of quantum physics. In particular, helium spectroscopy has played a crucial role in describing two-electron interactions, determining the…

Radiative corrections to E1 matrix elements for ns-np transitions in the alkali metal atoms lithium through francium are evaluated. They are found to be small for the lighter alkalis but significantly larger for the heavier alkalis, and in…

Atomic Physics · Physics 2009-11-10 J. Sapirstein , K. T. Cheng

Precision spectroscopy of light muonic atoms provides unique information about the atomic and nuclear structure of these systems and thus represents a way to access fundamental interactions, properties and constants. One application…