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Quantum fluctuations of the electromagnetic field are known to produce the atomic Lamb shift. We here reveal their iconic signature in semiconductor physics, through the blue-shift they produce to optically bright excitons, thus lifting the…

Materials Science · Physics 2022-02-23 Monique Combescot , François Dubin , Shiue-Yuan Shiau

We calculate the shift in the atomic energy levels induced by the presence of a scalar field which couples to matter and photons. We find that a combination of atomic measurements can be used to probe both these couplings independently. A…

High Energy Physics - Phenomenology · Physics 2011-03-23 Philippe Brax , Clare Burrage

The muonic vacuum polarization contribution to the $g$-factor of the electron bound in a nuclear potential is investigated theoretically. The electric as well as the magnetic loop contributions are evaluated. We found these muonic effects…

Atomic Physics · Physics 2016-10-06 N. A. Belov , B. Sikora , R. Weis , V. A. Yerokhin , S. Sturm , K. Blaum , C. H. Keitel , Z. Harman

Light-front Hamiltonian methods are being developed to attack bound-state problems in QCD. In this paper we advance the state of the art for these methods by computing the well-known Lamb shift in hydrogen starting from first principles of…

High Energy Physics - Theory · Physics 2009-10-30 Billy D. Jones , Robert J. Perry

Calculations of the two-loop electron self-energy for the $1S$ Lamb shift are reported, performed to all orders in the nuclear binding strength parameter $Z\alpha$ (where $Z$ is the nuclear charge number and $\alpha$ is the fine structure…

Atomic Physics · Physics 2025-01-08 V. A. Yerokhin , Z. Harman , C. H. Keitel

We consider the $g$ factor of a spin-1/2 particle (electron or muon) bound by an arbitrary central field. We present an approach which allows one to express the relativistic $g$ factor in terms of the binding energy. We derive the general…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. G. Karshenboim , R. N. Lee , A. I. Milstein

We determine the gyromagnetic factor of the positronium ion, a three-body system consisting of two electrons and a positron, including first relativistic corrections. We find that the g-factor is modified by a term -0.51(1)alpha^2,…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yi Liang , Paul L. McGrath , Andrzej Czarnecki

The numerically dominant QED contributions to the anomalous magnetic moment of the muon stem from Feynman diagrams with internal electron loops. We consider such corrections and present a calculation of the four-loop light-by-light-type…

High Energy Physics - Phenomenology · Physics 2015-11-04 Alexander Kurz , Tao Liu , Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

We consider the consequences of the presence of metric fluctuations upon the properties of a hydrogen atom. Particularly, we introduce these metric fluctuations in the corresponding effective Schroedinger equation and deduce the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Juan Israel Rivas , Abel Camacho , Ertan Goeklue

The two-loop self-energy correction to the ground state Lamb shift is calculated for hydrogen-like ions with the nuclear charge Z=10-30 without any expansion in the binding field of the nucleus. A calculational technique is reported for…

Atomic Physics · Physics 2015-05-14 V. A. Yerokhin

Currently, both the g factor measurement of the muon as well as the Lamb shift 2S-2P measurement in muonic hydrogen are in disagreement with theory. Here, we investigate possible theoretical explanations, including proton structure effects…

High Energy Physics - Phenomenology · Physics 2012-07-03 U. D. Jentschura

We give an update on the status of the hadronic light-by-light scattering contribution to the muon g-2. We review recent work by various groups, list some of the open problems and give an outlook on how to better control the uncertainty of…

High Energy Physics - Phenomenology · Physics 2022-03-02 Andreas Nyffeler

In this talk I review the recent progress on the numerical evaluation of the Hadronic Light-by-Light contribution to the anomalous magnetic moment of the muon and I discuss the role of experimental data on the accuracy of its determination.

High Energy Physics - Phenomenology · Physics 2015-05-11 Pere Masjuan

We derive a general relativistic Hamiltonian valid for both bound and scattering systems by reducing the four-component Dirac equation to a two-component Dirac-Pauli form. Unlike conventional approaches, our formulation includes first-order…

High Energy Physics - Phenomenology · Physics 2025-11-13 Abdelhamid Albaid

We consider a model of dark quantum electrodynamics which is coupled with a visible photon through a kinetic mixing term. After checking of consistency properties, we compute the $g_w-2$, where $g_w$ is the gyromagnetic factor for a dark…

High Energy Physics - Phenomenology · Physics 2017-11-22 Ashok K. Das , Jorge Gamboa , Fernando Méndez , Natalia Tapia

Two corrections to the Lamb shift, induced by the polarization operator insertions in the external photon lines are calculated.

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

We derive a closed, model space independent, expression for the electromagnetic correction factor $\delta $ to the scattering length $a$ extracted from a hydrogenic atom with an extended charge to order $\alpha ^2$ and $a^3$ in the limit of…

High Energy Physics - Phenomenology · Physics 2009-02-11 T. E. O. Ericson , B. Loiseau , S. Wycech

We obtain a model independent expression for the muonic hydrogen Lamb shift up to $\mathcal O (m_\mu \alpha^6, m_\mu \alpha^5 \frac{m_\mu^2}{m_\rho^2})$. The hadronic effects are controlled by the chiral theory, which allows for their model…

High Energy Physics - Phenomenology · Physics 2014-11-17 Clara Peset

We show that the X17 vector boson, introduced to explain the ^8 Be anomalous decay, could play a crucial role in the explanation of the muon's (electron's) anomalous magnetic moment and the muonic Lamb shift. We further constrain the…

High Energy Physics - Phenomenology · Physics 2024-10-03 Antonio Capolupo , Aniello Quaranta , Raoul Serao

The two-loop self-energy correction to the Lamb shift of hydrogen-like ions is calculated for the $1s$, $2s$, and $2p_{1/2}$ states and nuclear charge numbers $Z = 30$-$100$. The calculation is performed to all orders in the nuclear binding…

Atomic Physics · Physics 2018-05-25 V. A. Yerokhin