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Related papers: Theory Framework for Medium-Mass Muonic Atoms

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The mass corrections to the bound state energies of the three-body muonic molecular ions $pp\mu, pd\mu, pt\mu, dd\mu, dt\mu$ and $tt\mu$ are determined numerically from the results of highly accurate computations. The total energies and…

Atomic Physics · Physics 2015-06-03 Alexei M. Frolov

The energy levels of the muonium ($\mu^+ e^-$) atom, which consists of two ''point-like'' leptonic particles, can be calculated to very high accuracy in the framework of bound state Quantum Electrodynamics (QED), since there are no…

Atomic Physics · Physics 2016-09-08 Klaus P. Jungmann

The results of highly accurate calculations are presented for all twenty-two known bound $S(L = 0)-, P(L = 1)-, D(L = 2)-$ and $F(L = 3)-$states in the six three-body muonic molecular ions $pp\mu, pd\mu, pt\mu, dd\mu, dt\mu$ and $tt\mu$. A…

Atomic Physics · Physics 2015-05-19 Alexei M. Frolov , David M. Wardlaw

The first fully relativistic, rigorous QED calculations of the self-energy correction to the fine-structure levels of heavy muonic atoms are reported. We discuss nuclear model and parameter dependence for this contribution as well as…

Atomic Physics · Physics 2022-06-14 Natalia S. Oreshkina

Elaborating on a previous letter, we use a new approach to compute energy levels of a non-relativistic bound-state of two constituents, with masses m and M, by systematic expansions - one in powers of m/M and another in powers of (1-m/M).…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ian Blokland , Andrzej Czarnecki , Kirill Melnikov

We describe a new approach to computing energy levels of a non-relativistic bound-state of two constituents with masses M and m, by a systematic expansion in powers of m/M. After discussing the method, we demonstrate its potential with an…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrzej Czarnecki , Kirill Melnikov

We propose an experiment to measure the nuclear charge radii of light elements with up to 20~times higher accuracy. These are essential both for understanding nuclear physics at low energies, and for experimental and theoretical…

Electroweak second order shifts of muonium ($\mu^+e^-$ bound state) energy levels are calculated for the first time. Calculation starts from on-shell one-loop elastic $\mu^+ e^-$ scattering amplitudes in the center of mass frame, proceed to…

High Energy Physics - Phenomenology · Physics 2018-10-15 T. Asaka , M. Tanaka , K. Tsumura , M. Yoshimura

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…

The finite-nuclear size correction to the fine structure of muonic atoms are considered. The procedure for the analytical calculation of the energies and wave functions has been derived in a homogeneously charged sphere nuclear charge…

Atomic Physics · Physics 2017-11-20 Abu Saleh Musa Patoary , Natalia S. Oreshkina

$\phi$-meson--nucleus bound state energies and absorption widths are calculated for seven selected nuclei by solving the Klein-Gordon equation with complex optical potentials. Essential input for the calculations, namely the medium-modified…

Nuclear Theory · Physics 2017-09-06 J. J. Cobos-Martínez , K. Tsushima , G. Krein , A. W. Thomas

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

In this study, we theoretically investigated x-ray spectra from the radiative decay of muonic deuterium molecules in resonance states dd$\mu^\ast$, which plays an important role in a new kinetic model of muon catalyzed fusion ($\mu$CF). The…

Atomic Physics · Physics 2025-01-23 Takuma Yamashita , Kazuhiro Yasuda , Yasushi Kino

We use atomic spectra to extend pure Coulomb's law tests to larger masses. We interpret these results in terms of constraints for hidden sector photons. With existing data the bounds for hidden photons are not improved. However we find that…

High Energy Physics - Phenomenology · Physics 2010-11-03 Joerg Jaeckel , Sabyasachi Roy

We compute the bound and resonant states of hydrogen-like muonic ions ($\mu\mu p$, $\mu\mu d$, $\mu\mu t$) and three-body muonic molecular ions ($pp\mu$, $pd\mu$, $pt\mu$, $dd\mu$, $dt\mu$, $tt\mu$), and the four-body double-muonic hydrogen…

Atomic Physics · Physics 2026-04-01 Liang-Zhen Wen , Shi-Lin Zhu

High-precision laser spectroscopy of atomic energy levels enables the measurement of nuclear properties. Sensitivity to these properties is particularly enhanced in muonic atoms which are bound systems of a muon and a nucleus. Exemplary is…

Atomic Physics · Physics 2016-08-12 Aldo Antognini

Muonic atom spectroscopy -- the measurement of the x rays emitted during the formation process of a muonic atom -- has a long standing history in probing the shape and size of nuclei. In fact, almost all stable elements have been subject to…

Spectroscopy of muonic atoms is, to date, the most accurate technique to extract parameters of the nuclear charge density. The same reasons for their heightened sensitivity to nuclear parameters, a large overlap of the muonic wavefunction…

Atomic Physics · Physics 2025-12-19 K. A. Beyer , N. S. Oreshkina

Total energies and various bound state properties are determined for the ground states in all six four-body muonic $a^{+} b^{+} \mu^{-} e^{-}$ quasi-atoms. These quasi-atoms contain two nuclei of the hydrogen isotopes $p^{+}, d^{+}, t^{+}$,…

Atomic Physics · Physics 2015-05-28 Alexei M. Frolov , David M. Wardlaw

A bound-state field theory approach to muonic hydrogen is set up using a variant of the Furry representation in which the lowest-order Hamiltonian describes a muon in the presence of a point Coulomb field, but the origin of the binding…

High Energy Physics - Phenomenology · Physics 2015-06-15 Peter J. Mohr , J. Griffith , J. Sapirstein
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