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Related papers: Constraints on proton structure from precision ato…

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Measurements of the proton structure function $F_2$ in the $Q^2$ range $0.6 - 17 \rm GeV^2$ from ZEUS 1995 shifted vertex data and $Q^2 \simeq 1.5 - 20000 \rm GeV^2$ from 1996 and 1997 ZEUS data are presented. From the former and other ZEUS…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Quadt

The contribution of the proton polarizability to the hydrogen hyperfine splitting is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is equal to…

High Energy Physics - Phenomenology · Physics 2016-09-06 R. N. Faustov , A. P. Martynenko

On the basis of quasipotential method in quantum electrodynamics we calculate corrections of order $\alpha^5$ and $\alpha^6$ to hyperfine structure of S-wave energy levels of muonic deuterium. Relativistic corrections, effects of vacuum…

High Energy Physics - Phenomenology · Physics 2014-07-30 R. N. Faustov , A. P. Martynenko , G. A. Martynenko , V. V. Sorokin

The complete analytical $O(m_l^3\alpha^5/m_p^2\times (\log{m_\pi}, \log{\Delta}, \log{m_l}))$ contribution to the Hyperfine splitting is given. It can explain about 2/3 of the difference between experiment and the pure QED prediction when…

High Energy Physics - Phenomenology · Physics 2007-05-23 Antonio Pineda

The measurement by Pohl et al. [1] of the 2S_1/2^F=1 to 2P_3/2^F=2 transition in muonic hydrogen and the subsequent analysis has led to a conclusion that the rms charge radius of the proton differs from the accepted (CODATA [2]) value by…

Atomic Physics · Physics 2015-05-28 J. D. Carroll , A. W. Thomas , J. Rafelski , G. A. Miller

We show that the non-spherical charge distribution of the proton manifests itself in hydrogen hyperfine splitting as an increase (in absolute value) of the proton Zemach radius and polarization contributions.

Atomic Physics · Physics 2015-05-14 A. J. Buchmann

The fully relativistic theory of the Zeeman splitting of the $1s$ hyperfine structure levels in hydrogenlike ions is considered for the magnetic field magnitude in the range from 1 to 10 T. The second-order corrections to the Breit -- Rabi…

Classical Physics · Physics 2009-11-11 D. L. Moskovkin , V. M. Shabaev

Using the Dirac equation, we study corrections to electron binding energies and hyperfine splittings of atomic hydrogen and hydrogen-like ions due to finite nuclear size (FNS) effects, relativistic QED radiative corrections and nuclear…

Atomic Physics · Physics 2023-06-06 Igor Kuzmenko , Tetyana Kuzmenko , Y. Avishai , Y. B. Band

Nuclear-structure effects often provide an irreducible theory error that prevents using precision atomic measurements to test fundamental theory. We apply newly developed effective field theory tools to Hydrogen atoms, and use them to show…

High Energy Physics - Phenomenology · Physics 2021-02-03 C. P. Burgess , P. Hayman , Markus Rummel , László Zalavári

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 hyperfine splitting of the ground state of selected B-like ions within the range of nuclear charge numbers $Z=49-83$ is investigated in detail. The rigorous QED approach together with the large-scale configuration-interaction…

The electromagnetic interactions of electrons and muons can be described to very high accuracy within the framework of standard theory, in particular within the hydrogen-like muonium atom. Therefore precision measurements allow to test…

Atomic Physics · Physics 2016-09-08 Klaus Jungmann

The electromagnetic form factors of the proton and neutron encode information on the spatial structure of their charge and magnetization distributions. While measurements of the proton are relatively straightforward, the lack of a free…

A possible explanation for the discrepancy between electronic and muonic hydrogen measurements of the proton charge radius are new, lepton-universality violating interactions. Several new couplings and particles have been suggested that…

High Energy Physics - Phenomenology · Physics 2014-02-12 Carl E. Carlson , Benjamin C. Rislow

We investigate whether the apparent discrepancy between proton electric form factor from measurements using the Rosenbluth separation technique and polarization transfer method is due to the standard approximations employed in radiative…

High Energy Physics - Phenomenology · Physics 2009-12-30 Florian Weissbach , Kai Hencken , Dirk Trautmann , Ingo Sick

We present the proton and neutron vector form factors in a convenient parametric form that is optimized for momentum transfers $\lesssim$ few GeV$^2$. The form factors are determined from a global fit to electron scattering data and precise…

High Energy Physics - Phenomenology · Physics 2020-10-23 Kaushik Borah , Richard J. Hill , Gabriel Lee , Oleksandr Tomalak

The Breit equation with two electromagnetic form-factors is studied to obtain a potential with finite size corrections. This potential with proton structure effects includes apart from the standard Coulomb term, the Darwin term, retarded…

High Energy Physics - Phenomenology · Physics 2015-05-19 F. Garcia Daza , N. G. Kelkar , M. Nowakowski

We provide an accurate evaluation of the two-photon exchange correction to the hyperfine splitting of S energy levels in muonic hydrogen exploiting the corresponding measurements in electronic hydrogen. The proton structure uncertainty in…

High Energy Physics - Phenomenology · Physics 2018-02-14 Oleksandr Tomalak

We present benchmark calculations of Zemach moments and radii of 2,3H and 3,4He using various few-body methods. Zemach moments are required to interpret muonic atom data measured by the CREMA collaboration at the Paul Scherrer Institute.…

Nuclear Theory · Physics 2019-03-27 N. Nevo Dinur , O. J. Hernandez , S. Bacca , N. Barnea , C. Ji , S. Pastore , M. Piarulli , R. B. Wiringa
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