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We present a novel spectroscopic method for probing the \insitu~density of quantum gases. We exploit the density-dependent energy shift of highly excited {Rydberg} states, which is of the order $10$\MHz\,/\,1E14\,cm$^{\text{-3}}$ for…

The variational method is used to study the energy levels of muonic helium $(\mu^{-} \, e^{-} \, He)$ with an electron in the ground state and a muon in an excited state with principal and orbital quantum numbers $n \sim l+1 \sim 14$. The…

High Energy Physics - Phenomenology · Physics 2026-05-01 A. V. Eskin , A. P. Martynenko , F. A. Martynenko , D. K. Pometko

Accurate spectroscopic measurements of calculable systems provide a powerful method for testing the Standard Model and extracting fundamental constants. Recently, spectroscopic measurements of finite nuclear size effects in normal and…

Atomic Physics · Physics 2023-06-06 Y. van der Werf , K. Steinebach , R. Jannin , H. L. Bethlem , K. S. E. Eikema

High-precision hydrogen spectroscopy is an active field which helps to determine the Rydberg constant and proton charge radius, tests bound-state QED, and can search for Beyond Standard Model (BSM) Physics. Additionally, with recent…

Atomic Physics · Physics 2022-06-15 S. F. Cooper , C. Rasor , R. G. Bullis , A. D. Brandt , D. C. Yost

Precision spectroscopy of simple atomic systems has refined our understanding of the fundamental laws of quantum physics. In particular, helium spectroscopy has played a crucial role in describing two-electron interactions, determining the…

We consider the role of high-lying Rydberg states of simple atomic systems such as $^1$H in setting constraints on physics beyond the Standard Model. We obtain highly accurate bound states energies for a hydrogen atom in the presence of an…

High Energy Physics - Phenomenology · Physics 2020-03-06 Matthew P. A. Jones , Robert M. Potvliege , Michael Spannowsky

High precision spectroscopy can provide a sensitive tool to test Coulomb's law on atomic length scales. This can then be used to constrain particles such as extra "hidden" photons or minicharged particles that are predicted in many…

High Energy Physics - Phenomenology · Physics 2010-12-24 Joerg Jaeckel , Sabyasachi Roy

Ultracold dilute gases provide ideal settings for measurements of atomic structure. Helium has an internal structure sufficiently simple to permit highly accurate predictions of its resonances and transition rates. Precise laser…

Quantum Gases · Physics 2022-12-13 Jacob A Ross

PAX (antiProtonic Atom X-ray spectroscopy) is a new experiment with the aim to test strong-field quantum electrodynamics (QED) effects by performing high-precision x-ray spectroscopy of antiprotonic atoms. By utilizing advanced…

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…

The rovibrational transition frequencies of molecular hydrogen ions (MHI) can be accurately computed using ab initio nonrelativistic quantum electrodynamics. A subset of the fundamental constants are required input. We analyze how, once…

Atomic Physics · Physics 2025-05-12 J. -Ph Karr , S. Schiller , V. I. Korobov , S. Alighanbari

The method and status of a study to provide numerical, high-precision values of the self-energy level shift in hydrogen and hydrogen-like ions is described. Graphs of the self energy in hydrogen-like ions with nuclear charge number between…

Quantum Physics · Physics 2009-11-10 Eric-Olivier Le Bigot , Ulrich D. Jentschura , Paul Indelicato , Peter J. Mohr

This review is devoted to precision physics of simple atoms. The atoms can essentially be described in the framework of quantum electrodynamics (QED), however, the energy levels are also affected by the effects of the strong interaction due…

High Energy Physics - Phenomenology · Physics 2015-06-25 Savely G. Karshenboim

The muonium atom is the purely leptonic bound state of a positive muon and an electron. It has a lifetime of 2.2 $\mu$s. The absence of any known internal structure provides for precision experiments to test fundamental physics theories and…

High Energy Physics - Experiment · Physics 2016-08-03 Klaus P. Jungmann

Precision spectroscopy on cold molecules can potentially enable novel tests of fundamental laws of physics and alternative determination of some fundamental constants. Realizing this potential requires a thorough understanding of the…

Atomic Physics · Physics 2013-05-29 Dimitar Bakalov , Vladimir I. Korobov , Stephan Schiller

Inner-shell electrons naturally sense the electric field close to the nucleus, which can reach extreme values beyond $10^{15}\,\text{V}/\text{cm}$ for the innermost electrons. Especially in few-electron highly charged ions, the interaction…

We consider the most accurate tests of bound state QED, precision theory of simple atoms, related to the hyperfine splitting in light hydrogen-like atoms. We discuss the HFS interval of the 1s state in muonium and positronium and of the 2s…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. G. Karshenboim , S. I. Eidelman , P. Fendel , V. G. Ivanov , N. N. Kolachevsky , V. A. Shelyuto , T. W. Haensch

This work reports on the application of a novel electric field-ionization setup for high-resolution laser spectroscopy measurements on bunched fast atomic beams in a collinear geometry. In combination with multi-step resonant excitation to…

A new method for measuring a possible time dependence of the fine-structure constant ($\alpha$) is proposed. The method is based on the level-crossing in two-electron highly-charged ions facilitating resonance laser measurements of the…

Atomic Physics · Physics 2009-11-11 O. Yu. Andreev , L. N. Labzowsky , G. Plunien , G. Soff

The fine structure constant $\alpha$ has a particular status in physics. Its precise determination is required to test the quantum electrodynamics (QED) theory. The constant $\alpha$ is also a keystone for the determination of other…