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The contribution of virtual excitations to the energy levels of electronic and muonic hydrogen is investigated combining a model-independent approach for the main part with quark model predictions for the remaining corrections. Precise…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Rosenfelder

Recently the possible existence of negative gluon helicity, $\Delta g$, has been observed to be compatible with existing empirical constraints, including from jet production in polarized proton-proton collisions at RHIC, and lattice QCD…

High Energy Physics - Phenomenology · Physics 2024-03-15 N. T. Hunt-Smith , C. Cocuzza , W. Melnitchouk , N. Sato , A. W Thomas , M. J. White

The proton structure and proton polarizability corrections to the Lamb shift of electronic hydrogen and muonic hydrogen were evaluated on the basis of modern experimental data on deep inelastic structure functions. Numerical value of proton…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. N. Faustov , A. P. Martynenko

Physical wave functions for the nucleon and the $\Delta^{+}$ isobar are presented, which unify the best features of previous models. With these wave functions we can calculate elastic form factors and the decays of the charmonium levels…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. G. Stefanis , M. Bergmann

The contribution of pseudoscalar pole diagrams to the hadronic light-by-light corrections of order alpha^3 E_F to the ground state hyperfine splitting in hydrogenic atom is calculated in the pseudoscalar pole terms approximation. The vector…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. N. Faustov , A. P. Martynenko

We investigate the influence of the spatial extent of the proton magnetization and charge densities on the 2S hyperfine splitting in muonic hydrogen. The use of a non-perturbative relativistic Dirac approach leads to corrections of 15% to…

Atomic Physics · Physics 2011-08-31 J. D. Carroll , A. W. Thomas , G. A. Miller , J. Rafelski

Radiative corrections to the Zemach contribution of the hydrogen hyperfine splitting are calculated. Their contributions amount to $-0.63(3)$ ppm to the HFS. The radiative recoil corrections are estimated to be $0.09(3)$ ppm and heavy…

High Energy Physics - Phenomenology · Physics 2014-11-17 Savely G. Karshenboim

There is renewed interest in studies of muonic atoms, which may provide detailed information on nuclear structure. A major limiting factor in the interpretation of measurements is the nuclear polarization contribution. We propose a method…

Atomic Physics · Physics 2025-06-25 J. Vandeleur , G. Sanamyan , O. R. Smits , I. A. Valuev , N. S. Oreshkina , J. S. M. Ginges

Corrections of orders alpha^5, alpha^6 are calculated in the hyperfine splitting of the muonic hydrogen ground state. The nuclear structure effects are taken into account in the one- and two-loop Feynman amplitudes by means of the proton…

High Energy Physics - Phenomenology · Physics 2015-06-25 R. N. Faustov , A. P. Martynenko

Hadronic deuteron polarizability correction to the Lamb shift of muonic deuterium is calculated on the basis of unitary isobar model and modern experimental data on the structure functions of deep inelastic lepton-deuteron scattering and…

High Energy Physics - Phenomenology · Physics 2016-06-14 A. V. Eskin , R. N. Faustov , A. P. Martynenko , F. A. Martynenko

A recent global QCD analysis of jet production and other polarized scattering data has found the presence of negative solutions for the gluon helicity distribution in the proton, $\Delta g$, along with the traditional $\Delta g > 0$…

High Energy Physics - Phenomenology · Physics 2026-05-04 R. M. Whitehill , Yiyu Zhou , N. Sato , W. Melnitchouk

The contribution from the axial-vector meson exchange to the potential of the muon-proton interaction in muonic hydrogen induced by anomalous axial-vector meson coupling to two photon state is calculated. It is shown that such contribution…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , A. E. Radzhabov

The correction to the hydrogen Lamb shift due to the proton electric and magnetic polarizabilities is expressed analytically through their static values, which are known from experiment. The numerical value of the correction is $ - 71 \pm…

Nuclear Theory · Physics 2008-02-03 I. B. Khriplovich , R. A. Sen'kov

The interaction of orbital electrons with the charge and magnetic moment of the nucleus polarizes it, and the detailed description requires a careful treatment of the nuclear vector polarizability. We present a complete and closed form…

Atomic Physics · Physics 2009-11-13 Krzysztof Pachucki

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

In the framework of the quasipotential method in quantum electrodynamics we calculate the contribution of pseudoscalar mesons to the interaction operator of a muon and a proton in muonic hydrogen atom. The parametrization of the transition…

High Energy Physics - Phenomenology · Physics 2017-11-28 A. E. Dorokhov , N. I. Kochelev , A. P. Martynenko , F. A. Martynenko , R. N. Faustov

Two groups, ours (Mainz) and Bochum, have recently been re-evaluating the spin polarizabilities and spin structure functions at low $Q$, using the baryon chiral perturbation theory (B$\chi$PT), the manifestly-covariant counterpart of the…

High Energy Physics - Phenomenology · Physics 2022-09-22 Vladimir Pascalutsa , Franziska Hagelstein , Vadim Lensky

The correction to the hydrogen Lamb shift due to the proton electric and magnetic polarizabilities is expressed analytically through their static values, which are known from experiment. The numerical value of the correction to the hydrogen…

Atomic Physics · Physics 2009-10-31 I. B. Khriplovich , R. A. Sen'kov

The usefulness of study of hyperfine splitting in the hydrogen atom is limited on a level of 10 ppm by our knowledge of the proton structure. One way to go beyond 10 ppm is to study a specific difference of the hyperfine structure intervals…

Atomic Physics · Physics 2007-05-23 Savely G. Karshenboim

A model distribution amplitude for the $\Delta^{+}(1232)$ isobar is proposed, derived on the basis of the QCD sum-rule calculations of Farrar et al. combined with those of Carlson and Poor. The transition form factor $\gamma p\Delta^{+}$ is…

High Energy Physics - Phenomenology · Physics 2009-10-22 N. G. Stefanis , M. Bergmann