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Related papers: Lamb shift in muonic helium ion

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We reevaluate the hadronic vacuum polarisation contributions to the muon magnetic anomaly and to the running of the electromagnetic coupling constant at the Z-boson mass. We include newest e+e- to hadrons cross-section data (among others)…

High Energy Physics - Phenomenology · Physics 2019-05-10 Michel Davier , Andreas Hoecker , Bogdan Malaescu , Zhiqing Zhang

The complete contribution to the muonium hyperfine splitting of relative order alpha^3(m_e/m_mu)ln(alpha) is calculated. The result amounts to 0.013 kHZ, much smaller than suggested by a previous estimate, and leads to a 2-sigma shift of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Richard Hill

We calculate the amplitude T_1 for forward doubly-virtual Compton scattering in heavy-baryon chiral perturbation theory, to fourth order in the chiral expansion and with the leading contribution of the gammaNDelta form factor. This provides…

High Energy Physics - Phenomenology · Physics 2012-12-12 Michael C. Birse , Judith A. McGovern

We calculate the one- and two-loop corrections of order alpha(Zalpha)^6 and alpha^2(Zalpha)^6 respectively, to the Lamb shift in hydrogen-like systems using the formalism of nonrelativistic quantum electrodynamics. We obtain general results…

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

We study the shift of the energy levels of electrons on helium surface due to the coupling to the quantum field of surface vibrations. As in quantum electrodynamics, the coupling is known, and it is known to lead to an ultraviolet…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 D. Konstantinov , K. Kono , M. J. Lea , M. I. Dykman

The muonic hydrogen experiment measuring the $2P-2S$ transition energy [R. Pohl {\em et al.}, Nature {\bf 466}, 213 (2010)] is significantly discrepant with theoretical predictions based on quantum electrodynamics. A possible approach to…

High Energy Physics - Phenomenology · Physics 2015-05-27 Krzysztof Pachucki

I consider the so-called nuclear polarization correction to the 1S-levels in light to intermediate muonic atoms. An easy to use recipe to compute it is given. The calculation includes the effect of the nucleon polarization, i.e. the…

Nuclear Theory · Physics 2026-01-07 Mikhail Gorchtein

I present a new data driven update of the hadronic vacuum polarization effects for the muon and the electron $g-2$. For the leading order contributions I find $a_\mu^{\mathrm{had}(1)}=(686.99\pm 4.21)[687.19\pm 3.48]\times 10^{-10}$ based…

High Energy Physics - Phenomenology · Physics 2016-06-22 Fred Jegerlehner

The Uehling contribution to the Lamb shift can be computed exactly in terms of the Uehling potential function. However derivations of this function are complex involving avoiding divergences using intricate techniques from early quantum…

General Physics · Physics 2020-09-24 John Mashford

It is shown that algebraic techniques based on the Lie algebra so(4,2) provide efficient tools for evaluating Lamb shifts and radiative decay rates for hydrogenic energy eigenstates as they systematically exploit the intrinsic symmetry of…

Quantum Physics · Physics 2026-04-09 Gernot Alber

The hadronic vacuum polarization (HVP) corrections to energy levels in muonic atoms are studied systematically across the periodic table. Two nuclear charge distribution models have been considered, with partly analytical solution for an…

Atomic Physics · Physics 2025-09-03 Zoia A. Mandrykina , Moritz Thierfeld , Natalia S. Oreshkina

We estimate the nuclear polarizability correction to atomic transition frequencies in various helium isotopes. This effect is non-negligible for high precision tests of quantum electrodynamics or accurate determination of the nuclear charge…

Nuclear Theory · Physics 2015-06-26 K. Pachucki , A. M. Moro

Precision spectroscopy of the Muonium Lamb shift and fine structure requires a robust source of 2S Muonium. To date, the beam-foil technique is the only demonstrated method for creating such a beam in vacuum. Previous experiments using this…

High Energy Physics - Experiment · Physics 2020-09-07 G. Janka , B. Ohayon , Z. Burkley , L. Gerchow , N. Kuroda , X. Ni , R. Nishi , Z. Salman , A. Suter , M. Tuzi , C. Vigo , T. Prokscha , P. Crivelli

The recent measurement of the Lamb shift in muonic hydrogen allows for the most precise extraction of the charge radius of the proton which is currently in conflict with other determinations based on $e-p$ scattering and hydrogen…

High Energy Physics - Phenomenology · Physics 2014-10-22 Savely G. Karshenboim , David McKeen , Maxim Pospelov

The proton structure effects, including finite size, polarizability and self-energy is considered and their influence on energy levels of muonic hydrogen is recalculated. A new theoretical prediction for the Lamb shift is presented together…

Atomic Physics · Physics 2009-10-31 Krzysztof Pachucki

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

We calculate hard spin-independent contributions to energy levels in muonium and positronium which are due to radiatively corrected electron factor insertion in two-photon exchange diagrams. Calculation of these corrections is motivated by…

High Energy Physics - Phenomenology · Physics 2023-08-16 Michael I. Eides , Valery A. Shelyuto

High-precision spectroscopy of muonic atoms provides a powerful probe for new short-range interactions predicted by theories beyond the Standard Model (SM). In this work, we derive new constraints on both spin-independent and spin-dependent…

High Energy Physics - Phenomenology · Physics 2025-11-04 J. E. J. Matias , A. S. Lemos , F. Dahia

The muon transfer probabilities between muonic hydrogen and an oxygen atom are calculated in a constrained geometry one dimensional model for collision between 10^-6 and 10^3 eV. These estimated rates are discussed in the light of previous…

Quantum Physics · Physics 2009-11-10 Arnaud Dupays , Bruno Lepetit , Juan Alberto Beswick , Carlo Rizzo , Dimitar Bakalov

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