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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

Recently, the charge radius of the proton was extracted for the first time from muonic hydrogen. The value obtained is five standard deviations away from similar measurements of regular hydrogen. This talk discusses work done in…

High Energy Physics - Phenomenology · Physics 2015-05-30 Gil Paz

We comprehensively analyse the theoretical prediction for the Lamb shift in muonic hydrogen, and the associated determination of the proton radius. We use effective field theories. This allows us to relate the proton radius with…

High Energy Physics - Phenomenology · Physics 2016-01-20 Clara Peset , Antonio Pineda

We have calculated the proton charge radius by assuming that the real proton radius is not unique and the radii are randomly distributed in a certain range. This is performed by averaging the elastic electron-proton differential cross…

Nuclear Theory · Physics 2015-06-15 T. Mart , A. Sulaksono

The uncertainty in the contribution to the Lamb shift in muonic hydrogen, $\Delta E^{subt}$ arising from proton polarizability effects in the two-photon exchange diagram at large virtual photon momenta is shown large enough to account for…

Nuclear Theory · Physics 2015-06-11 Gerald A. Miller

A general quantum electrodynamic method for derivation of nuclear recoil corrections in hydrogenic systems, which are exact in the nuclear charge parameter $Z\,\alpha$, is introduced. The exemplary derivation is presented for the $O(m/M)$…

Atomic Physics · Physics 2024-05-21 Krzysztof Pachucki

We study the corrections induced by the theory of non-commutativity, in both space-space and space-time versions, on the spectrum of hydrogen-like atoms. For this, we use the relativistic theory of two-particle systems to take into account…

High Energy Physics - Phenomenology · Physics 2013-11-18 M. Moumni , A. BenSlama

Hadronic matrix elements of proton decay are essential ingredients to bridge the grand unification theory to low energy observables like proton lifetime. In this paper we non-perturbatively calculate the matrix elements, relevant for the…

High Energy Physics - Lattice · Physics 2014-01-22 Y. Aoki , E. Shintani , A. Soni

A new result for the hadronic vacuum polarization correction to the muonium hyperfine splitting (HFS) is presented: Delta nu(had - vp) = (0.233 +- 0.003) kHz. Compared with previous calculations, the accuracy is improved by using the latest…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andrzej Czarnecki , Simon I. Eidelman , Savely G. Karshenboim

We reexamine the structure of the $n=2$ levels of muonic hydrogen using a two-body potential that includes all relativistic, recoil and one loop corrections. The potential was originally derived from QED to describe the muonium atom and…

High Energy Physics - Phenomenology · Physics 2018-07-11 Wayne W. Repko , Duane A. Dicus

A complete effective Hamiltonian for relativistic corrections at orders $m\alpha^6$ and $m\alpha^6(m/M)$ in a one-electron molecular system is derived from the NRQED Lagrangian. It includes spin-independent corrections to the energy levels…

Atomic Physics · Physics 2020-08-25 Vladimir Korobov , Jean-Philippe Karr , Mohammad Haidar , Zhen-Xiang Zhong

We calculate radiative-recoil corrections of order $\alpha^2(Z\alpha)(m/M)E_F$ to hyperfine splitting in muonium generated by the diagrams with electron and muon polarization loops. These corrections are enhanced by the large logarithm of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Michael I. Eides , Howard Grotch , Valery A. Shelyuto

The largest contributions to the $n=2$ Lamb-shift, fine structure interval and $2s$ hyperfine structure of muonic hydrogen are calculated by exact numerical evaluations of the Dirac equation, rather than by a perturbation expansion in…

Atomic Physics · Physics 2013-05-30 Paul Indelicato

The rate of muon capture in a muonic hydrogen atom is calculated in heavy-nucleon chiral perturbation theory up to next-to-next-to leading order. To this order, we present the systematic evaluation of all the corrections due to the QED and…

Nuclear Theory · Physics 2013-06-04 U. Raha , F. Myhrer , K. Kubodera

We present a novel approach for investigating the spin structure of hadrons based on the two-point function in quantum field theory. In a rotating frame, we derive two independent expressions of the two-point function and identify their…

High Energy Physics - Phenomenology · Physics 2025-03-27 HyungJoo Kim , Philipp Gubler , Chihiro Sasaki

We calculate the next-to-leading order contribution to the masses of the heavy baryons in the bound state approach for baryons containing a heavy quark. These $1/N_C$ corrections arise when states of good spin and isospin are generated from…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. Harada , A. Qamar , F. Sannino , J. Schechter , H. Weigel

We present an improved result of lattice computation of the proton decay matrix elements in $N_f=2+1$ QCD. In this study, the significant improvement of statistical accuracy by adopting the error reduction technique of All-mode-averaging,…

High Energy Physics - Lattice · Physics 2017-07-19 Yasumichi Aoki , Taku Izubuchi , Eigo Shintani , Amarjit Soni

We review the current state of the art in the determination of the parton substructure of the nucleon, as expressed in terms of parton distribution functions (PDFs), and probed in high-energy lepton-hadron and hadron-hadron collisions, and…

High Energy Physics - Phenomenology · Physics 2013-10-23 Stefano Forte , Graeme Watt

Recent polarization transfer measurements of the proton electromagnetic form factors yield very different results from previous Rosenbluth extractions. This inconsistency implies uncertainties in our knowledge of the form factors and raises…

Nuclear Experiment · Physics 2009-11-10 J. Arrington