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We illustrate how nuclear polarization corrections in muonic atoms can be formally connected to inelastic response functions of a nucleus. We first discuss the point-nucleon approximation and then include finite-nucleon-size corrections. As…

Nuclear Theory · Physics 2014-08-05 Chen Ji , Nir Nevo Dinur , Sonia Bacca , Nir Barnea

We calculate the second-order corrections to the atomic energy level shifts in ordinary and muonic deuterium due to virtual excitations of the deuteron which are important for ongoing and planned precise experiments in these systems. For…

Nuclear Theory · Physics 2009-10-22 Yang Lu , R. Rosenfelder

To shed light on the deuteron radius puzzle we analyze the theoretical uncertainties of the nuclear structure corrections to the Lamb shift in muonic deuterium. We find that the discrepancy between the calculated two-photon exchange…

Nuclear Theory · Physics 2018-06-12 Oscar Javier Hernandez , Andreas Ekström , Nir Nevo Dinur , Chen Ji , Sonia Bacca , Nir Barnea

Nuclear-polarizability corrections that go beyond unretarded-dipole approximation are calculated analytically for hydrogenic (atomic) S-states. These retardation corrections are evaluated numerically for deuterium and contribute -0.68 kHz,…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , G. L. Payne

The discovery of the proton-radius puzzle and the subsequent deuteron-radius puzzle is fueling an on-going debate on possible explanations for the difference in the observed radii obtained from muonic atoms and from electron-nucleus…

Nuclear Theory · Physics 2017-12-15 Oscar Javier Hernandez , Sonia Bacca , Kyle Andrew Wendt

The correction to the hydrogen-deuterium isotope shift due to the proton and deuteron polarizability is evaluated on the basis of modern experimental data on the structure functions of inelastic lepton-nucleus scattering. The numerical…

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

We calculate the longitudinal structure function of the deuteron up through next-to-next-to-leading order in the framework of pionless effective field theory. We use these results to compute the two-photon polarizability contribution to…

Nuclear Theory · Physics 2020-09-18 Samuel B. Emmons , Chen Ji , Lucas Platter

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

We perform a complete calculation of $\alpha\,(Z\,\alpha)^5\,m$ radiative corrections to the finite nuclear size, the recoil finite size and the nuclear polarizability effects in atomic systems. Results confirm very good agreement for the…

Atomic Physics · Physics 2025-07-22 Krzysztof Pachucki

The nuclear polarizability effects in hyperfine splitting of light atomic systems are not well known. The only system for which they were previously calculated is the hydrogen atom, where these effects were shown to contribute about 5\% of…

Atomic Physics · Physics 2024-01-12 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

Nuclear structure effects are essential for describing hyperfine splittings from high-precision atomic spectroscopy measurements. These effects are often parametrized by the effective or elastic Zemach radii, with their difference poorly…

Nuclear Theory · Physics 2025-09-03 Yilong Yang , Evgeny Epelbaum , Chen Ji , Pengwei Zhao

We determine the Zemach moments of hydrogen and deuterium for the first time using only the world data on elastic electron-proton and electron-deuteron scattering. Such moments are required for the calculation of the nuclear corrections to…

Nuclear Theory · Physics 2014-11-18 J. L. Friar , Ingo Sick

The charge radius of the deuteron (D), was recently determined to three times the precision compared with previous measurements using the measured Lamb shift in muonic deuterium (muD). However, the muD value is 5.6 $\sigma$ smaller than the…

Nuclear Theory · Physics 2019-03-07 Oscar J. Hernandez , Sonia Bacca , Nir Barnea , Nir Nevo-Dinur , Andreas Ekström , Chen Ji

We calculate nuclear shadowing in lepton-deuteron deep inelastic scattering, which arises from the double scattering of the virtual photon from both nucleons in the deuteron. The total correction to the deuteron structure function is found…

Nuclear Theory · Physics 2008-11-26 W. Melnitchouk , A. W. Thomas

We investigate the effects of the tensor polarizability of a nucleus on the bound-state energy levels, and obtain a general formula for the contribution of the tensor polarizability to the energy levels in two-body bound systems. In…

Atomic Physics · Physics 2026-05-13 G. S. Adkins , U. D. Jentschura

This paper presents an analysis of the positron capture by a neutron reaction, which is just the inverse of the well-known neutrino capture by a proton reaction. The effect of the QED radiative corrections is investigated. In particular,…

High Energy Physics - Phenomenology · Physics 2013-05-30 Mikhail Khankhasayev , Carol Scarlett

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

I review quark momentum distributions in the nucleon at large momentum fractions x. Particular attention is paid to the impact of nuclear effects in deuterium on the d/u quark distribution ratio as x -> 1. A new global study of parton…

Nuclear Theory · Physics 2014-11-21 W. Melnitchouk

General expressions for the unpolarized differential cross section and for various polarization observables in the coherent pseudoscalar meson photo- and electroproduction on the deuteron target have been obtained in one-photon-exchange…

High Energy Physics - Phenomenology · Physics 2019-08-07 G. I. Gakh , A. G. Gakh , E. Tomasi-Gustafsson

New observables with which we can study the two-nucleon weak interactions at low energies are considered. In the breakup of the deuteron by photons, polarization of outgoing neutrons can depend on the parity-violating component of…

Nuclear Theory · Physics 2015-06-15 J. W. Shin , C. H. Hyun , S. -I. Ando , S. W. Hong
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