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The relativistic second-order corrections at orders $m\alpha^6$ and $m\alpha^6(m/M)$ in hydrogen molecular ions are calculated. Convergence of numerical results is studied, which allows estimating the relative numerical uncertainty to be…

Atomic Physics · Physics 2025-06-30 Vladimir I. Korobov , Jean-Philippe Karr , Zhen-Xiang Zhong

The contribution of \Delta isobar to the correction on proton polarizability in the hyperfine splitting of hydrogen and muonic hydrogen is calculated with the account of the experimental data on N-\Delta transition form factors.

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Faustov , A. P. Martynenko , V. A. Saleev

The contributions to heavy meson mass differences by the strong hyperfine interaction, the light quark masses and the electromagnetic interaction are obtained from the empirical values of the $D$, $D^*$, $B$ and $B^*$ masses by means of a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jose L. Goity , Chandana P. Jayalath

We investigate the hyperfine splitting of the heavy baryons in the bound-state approach. We start with an ordinary relativistic Lagrangian which has been extensively used to discuss finite mass corrections to the heavy limit predictions. It…

High Energy Physics - Phenomenology · Physics 2009-10-28 Masayasu Harada , Asif Qamar , Francesco Sannino , Joseph Schechter , Herbert Weigel

A study is made of nuclear size corrections to the energy levels of single-electron atoms for the ground state of hydrogen like atoms. We consider Fermi charge distribution to the nucleus and calculate atomic energy level shift due to the…

Atomic Physics · Physics 2017-01-02 Babak Nadiri Niri

In the framework of the quasipotential method in quantum electrodynamics we calculate corrections to the nuclear structure proportional to $r_N^2$ from two-photon exchange amplitudes in the fine and hyperfine structure of P-states in muonic…

High Energy Physics - Phenomenology · Physics 2018-08-29 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , A. E. Radzhabov

Theoretical predictions underlying determinations of the fine structure constant alpha and the electron-to-proton mass ratio m_e/m_p are reviewed, with the emphasis on the bound electron magnetic anomaly g-2. The theory of the interaction…

High Energy Physics - Phenomenology · Physics 2010-12-13 Andrzej Czarnecki , Matthew Dowling , Jorge Mondejar , Jan H. Piclum

We predict W and Z transverse momentum distributions from proton-proton and nuclear collisions at RHIC and LHC. A resummation formalism with power corrections to the renormalization group equations is used. The dependence of the resummed…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiaofei Zhang , George Fai

The self-energy and the vertex radiative corrections to the effect of parity nonconservation in heavy atoms are calculated analytically in orders Z alpha^2 and Z^2 alpha^3 ln(lambda_C/r_0), where lambda_C and r_0 being the Compton…

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

In this II, a probability to detect the neutrino produced in a high-energy pion decay is shown to receive the large finite-size correction. The neutrino interacts extremely weakly with matters and is described with a many-body wave function…

High Energy Physics - Phenomenology · Physics 2012-09-26 Kenzo Ishikawa , Yutaka Tobita

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

An estimate has been made of the masses of heavy hadrons in nonrelativistic quark model, which includes spin and flavor-dependent hyperfine splitting for two quarks. The effect of variation of the wavefunction value at origin and the strong…

High Energy Physics - Phenomenology · Physics 2007-05-23 Harpreet Kaur , M. P. Khanna

Laser spectroscopy of muonic atoms has been recently used to probe properties of light nuclei with unprecedented precision. We introduce nuclear effects in hydrogen-like atoms, nucleon structure quantities (form factors, structure…

Nuclear Theory · Physics 2023-01-09 Aldo Antognini , Franziska Hagelstein , Vladimir Pascalutsa

Radiative corrections to the decay rate of n=2 states of hydrogenic ions are calculated. The transitions considered are the M1 decay of the 2s state to the ground state and the E1(M2) decays of the $2p_{1/2}$ and $2p_{3/2}$ states to the…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Sapirstein , K. Pachucki , K. T. Cheng

Relativistic calculations of the isotope shifts of energy levels in highly charged Li-like ions are performed. The nuclear recoil (mass shift) contributions are calculated by merging the perturbative and large-scale…

We consider quantum electrodynamics (QED) corrections to the fine splitting $E(2P_{3/2}) - E(2P_{1/2})$ in the Li atom. We derive complete formulas for the $m\,\alpha^6$ and $m\,\alpha^7\,\ln\alpha$ contributions and calculate them…

Atomic Physics · Physics 2015-06-19 Mariusz Puchalski , Krzysztof Pachucki

We present a detailed investigation of the leading-order $m\alpha^5$ QED correction with inclusion of the finite-nuclear-mass effects. Previously, this correction had been calculated within an expansion in the electron-nucleus mass ratio…

Atomic Physics · Physics 2025-12-05 Krzysztof Pachucki , Vojtěch Patkóš , Vladimir A. Yerokhin

The recoil correction of order $(Z\alpha)^6(m/M)m$ to the hydrogen energy levels is recalculated and a discrepancy existing in the literature on this correction for the 1S energy level, is resolved. An analytic expression for the correction…

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

The m\alpha^6(m/M) order corrections to the hyperfine splitting in the H_2^+ ion are calculated. That allows to reduce uncertainty in the frequency intervals between hyperfine sublevels of a given rovibrational state to about 10 ppm.…

Atomic Physics · Physics 2009-05-12 V. I. Korobov , L. Hilico , J. -Ph. Karr

We report on preliminary results from a systematic study of the hyperfine (HF) structure of antiprotonic helium. This precise measurement which was commenced in 2006, has now been completed. Our initial analysis shows no apparent density or…

Atomic Physics · Physics 2015-05-13 T. Pask