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A measurement of the Lamb shift of 49,881.88(76) GHz in muonic hydrogen in conjunction with theoretical estimates of the proton structure effects was recently used to deduce an accurate but rather small radius of the proton. Such an…

High Energy Physics - Phenomenology · Physics 2015-06-04 N. G. Kelkar , F. Garcia Daza , M. Nowakowski

To a first semiclassical approximation one can reduce the multi-parton light-front problem in QCD to an effective one-dimensional quantum field theory, which encodes the fundamental conformal symmetry of the classical QCD Lagrangian. This…

High Energy Physics - Phenomenology · Physics 2015-06-18 Guy F. de Teramond , Stanley J. Brodsky , Hans Günter Dosch

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

We present the most accurate up-to-date theoretical values of the {2p_{1/2}}-{2s} and {2p_{3/2}}-{2s} transition energies and the ground-state hyperfine splitting in ${\rm Sc}^{18+}$. All two- and three-electron contributions to the energy…

Potential energy curves for excited leptonic states of the helium-antihydrogen system are calculated within Ritz' variational approach. An explicitly correlated ansatz for the leptonic wave function is employed describing accurately the…

Atomic Physics · Physics 2015-05-13 V. Sharipov , L. Labzowsky , G. Plunien

We consider the two-photon exchange contribution to the $2P-2S$ Lamb shift in muonic deuterium in the framework of forward dispersion relations. The dispersion integrals are evaluated using experimental data on elastic deuteron form factors…

Nuclear Theory · Physics 2014-02-05 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

The current discrepancy of theory and experiment observed recently in muonic hydrogen necessitates a reinvestigation of all corrections to contribute to the Lamb shift in muonic hydrogen muH, muonic deuterium muD, the muonic 3He ion, as…

Atomic Physics · Physics 2012-07-03 U. D. Jentschura , B. J. Wundt

The hydrogen atom is investigated, within a pseudo-complex extension of the coordinates and momenta, which introduces a minimal length scale (l) and results into a non-commutative Quantum Mechanics. After resuming the pseudo-complex…

Quantum Physics · Physics 2021-11-30 Peter O Hess

We investigate two-loop higher-order binding corrections to the fine structure, which contribute to the spin-dependent part of the Lamb shift. Our calculation focuses on the so-called ``two-loop self-energy'' involving two virtual closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ulrich D. Jentschura , Krzysztof Pachucki

We employ Hamiltonian light-front quantum field theory in a basis function approach to solve the non-perturbative problem of an electron in a strong scalar transverse confining potential. We evaluate both the invariant mass spectra and the…

High Energy Physics - Phenomenology · Physics 2011-02-18 H. Honkanen , P. Maris , J. P. Vary , S. J. Brodsky

In the light front quantisation scheme initial conditions are usually provided on a single lightlike hyperplane. This, however, is insufficient to yield a unique solution of the field equations. We investigate under which additional…

High Energy Physics - Theory · Physics 2009-10-22 T. Heinzl , E. Werner

We study all-charm tetraquarks in the front form of Hamiltonian dynamics using the many-body basis function approach known as basis light-front quantization. The model Hamiltonian contains transverse and longitudinal confining potentials…

High Energy Physics - Phenomenology · Physics 2022-05-26 Zhongkui Kuang , Kamil Serafin , Xingbo Zhao , James P. Vary

Hybrid quantum systems consisting of an ensemble of two--level systems interacting with a single--mode electromagnetic field are important for the development of quantum information processors and other quantum devices. These systems are…

Quantum Physics · Physics 2022-01-04 Andrew Stasiuk , Lane G. Gunderman , Mohamed El Mandouh , Troy W. Borneman , David G. Cory

The proton polarizability effect in the muonic-hydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields for it: $\Delta E^{(\mathrm{pol})} (2P-2S) = 8^{+3}_{-1}\, \mu$eV.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Jose Manuel Alarcón , Vadim Lensky , Vladimir Pascalutsa

The bound state of constituent quarks forming a $Qqq$ composite baryon is investigated in a QCD-inspired effective light-front model. The light-front Faddeev equations are derived and solved numerically. The masses of the spin 1/2 low-lying…

High Energy Physics - Phenomenology · Physics 2014-11-17 E. F. Suisso , J. P. B. C. de Melo , T. Frederico

We study the vacuum radiative corrections to energy levels of a confined electron in quantum rings. The calculations are provided for the Lamb shift of energy levels in low-momentum region of virtual photons and for both one-dimensional and…

Quantum Physics · Physics 2015-01-07 G. Yu. Kryuchkyan , O. Kyriienko , I. A. Shelykh

The light-front dynamics is an efficient approach to study of field theory and of relativistic composite systems (nuclei at relativistic relative nucleon momenta, hadrons in the quark models). The explicitly covariant version of this…

Nuclear Theory · Physics 2007-05-23 V. A. Karmanov , J. Carbonell

Weak interaction contributions to hyperfine splitting and Lamb shift in light electronic and muonic atoms are calculated. We notice that correction to hyperfine splitting turns into zero for deuterium. Weak correction to the Lamb shift in…

Atomic Physics · Physics 2012-07-05 Michael I. Eides

In [Li ${\it et \, al.}$, Phys. Rev. A ${\bf 98}$, 020502(R) (2018)] it was claimed that the model-potential computations of the Lamb shift on the $^2P_{1/2}-{}^2P_{3/2}$ fine structure in fluorinelike uranium lead to a discrepancy between…

The maximal acceleration corrections to the Lamb shift of one--electron atoms are calculated in a non--relativistic approximation. They are compatible with experimental results, are in particularly good agreement with the $2S-2P$ Lamb shift…

High Energy Physics - Phenomenology · Physics 2011-08-17 G. Lambiase , G. Papini , G. Scarpetta