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The effective Hamiltonian of $m\alpha^6$ and $m\alpha^6(m/M)$ order corrections for hydrogen molecular ions has been derived in [ Z.-X. Zhong, \emph{et al.}, Phys. Rev. A {\bf98}, 032502(2018).], in this work we express the energy…

Atomic Physics · Physics 2026-03-17 Zhen-Xiang Zhong , Ping Yang , Vladimir I. Korobov , Chun Li , Ting-Yun Shi

A recent 15 parts-per-million (ppm) experiment on muonic hydrogen found a major discrepancy with QED and independent nuclear size determinations. Here we find a significant discrepancy in a different type of exotic atom, a medium-Z nucleus…

We here concentrate on available $\pi^\pm$ and $K^\pm$ ALICE preliminary $R_{AA}$ data in central 2.76 TeV Pb+Pb collisions at LHC. These data show an interesting fine resolution hierarchy, i.e. the measured $K^\pm$ data have consistently…

Nuclear Theory · Physics 2015-06-16 Magdalena Djordjevic , Marko Djordjevic

We extend the formalism based on perturbative QCD that was developed in our previous work, and compute the hyperfine splittings of the bottomonium spectrum as well as the fine and hyperfine splittings of the charmonium spectrum. All the…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Recksiegel , Y. Sumino

Motivated by the recent experimental measures of the 2p-states fine splitting of the muonic He4 ion [1], we think it may have some interest to present an independent calculation in terms of the two-body relativistic equation for a scalar…

Atomic Physics · Physics 2022-08-31 Riccardo Giachetti , Emanuele Sorace

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

The present review includes the description of theoretical methods for the investigations of the spectra of hydrogen-like systems. Various versions of the quasipotential approach and the method of the effective Dirac equation are…

High Energy Physics - Phenomenology · Physics 2011-07-19 Valeri V. Dvoeglazov , Rudolf N. Faustov , Yuri N. Tyukhtyaev

We study atomic systems that are in the frequency range of optical atomic clocks and have enhanced sensitivity to potential time-variation of the fine structure constant, alpha. The high sensitivity is due to coherent contributions from…

Atomic Physics · Physics 2010-09-16 J. C. Berengut , V. A. Dzuba , V. V. Flambaum

Helium (He) is the ideal atom to perform tests of ab-initio calculations in two-electron systems that consider all known effects, including quantum-electrodynamics and nuclear-size contributions. Recent state-of-the-art calculations and…

Atomic Physics · Physics 2025-01-07 Gloria Clausen , Kai Gamlin , Josef A. Agner , Hansjürg Schmutz , Frédéric Merkt

In a joint experimental and theoretical endeavour, photoionization of metastable C4+(1s 2s 3S1) ions via intermediate levels with hollow, double-K-vacancy configurations 2s2p, 2s3p, 2p3s, 2p3d, 2s4p, 2p4s and 2p4d has been investigated.…

Highly precise variational calculations of non-relativistic energies of the (2p^2)^3P^e state of Helium atom are presented.We get an upper bound energy E=-0.71050015565678 a.u.,the lowest yet obtained.

Atomic Physics · Physics 2009-11-10 Tapan K. Mukherjee , Prasanta K. Mukherjee

We use advanced computational techniques to study the electronic structure of the Hf$^{12+}$ ion, with the goal of assessing its potential for use in highly accurate atomic optical clocks and search for new physics. Such clocks should…

Atomic Physics · Physics 2025-11-04 Saleh O. Allehabi , V. A. Dzuba , V. V. Flambaum

Recent improvements in the determination of the running of the fine-structure constant also allow an update of the hadronic vacuum-polarization contribution to the Lamb shift. We find a shift of -3.40(7) kHz to the 1S level of hydrogen. We…

Nuclear Theory · Physics 2008-11-26 J. L. Friar , J. Martorell , D. W. L. Sprung

We present the detection of the highly forbidden $2^{3\!}S_1 \rightarrow 3^{3\!}S_1$ atomic transition in helium, the weakest transition observed in any neutral atom. Our measurements of the transition frequency, upper state lifetime, and…

A formula for an improved spin--dependent potential between a heavy quark and a heavy antiquark was developed using Heavy Quark Effective Theory techniques. The leading logarithmic quark mass terms emerging from loop contributions were…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert J. Oakes

We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-$^3$He quasielastic scattering data set,…

Nuclear Theory · Physics 2017-02-01 Carl E. Carlson , Mikhail Gorchtein , Marc Vanderhaeghen

Nuclear structure corrections of orders $Z\alpha\, E_F$ and $(Z\alpha)^2 E_F$ are calculated for the hyperfine splitting of the muonic deuterium. The obtained results disagree with previous calculations and lead to a $5\,\sigma$…

Atomic Physics · Physics 2019-01-02 Marcin Kalinowski , Krzysztof Pachucki , Vladimir A. Yerokhin

Recent progress in laser and x-ray spectroscopy of muonic atoms offers promising long-term possibilities at the intersection of atomic, nuclear and particle physics. In muonic hydrogen, laser spectroscopy measurements will determine the…

Precision calculations of the fine and hyperfine structure of muonic atoms are performed in a relativistic approach and results for muonic 205 Bi, 147 Sm, and 89 Zr are presented. The hyperfine structure due to magnetic dipole and electric…

Atomic Physics · Physics 2017-10-04 Niklas Michel , Natalia S. Oreshkina , Christoph H. Keitel