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The interpretation of future precise experiments on atomic parity violation in terms of parameters of the Standard Model could be hampered by uncertainties in the atomic and nuclear structure. While the former can be overcome by measurement…

Nuclear Theory · Physics 2008-11-26 B. Q. Chen , P. Vogel

Up to now, all charge radius measurements of the proton and deuteron assumed uniform spheroidal charge distribution. We investigate the nuclear deformation effects on these charge radius measurements by assuming a uniform prolate charge…

High Energy Physics - Phenomenology · Physics 2019-11-05 Yonghui Lin , Bingsong Zou

We present the derivation of the formulas for the proton structure-dependent terms in the hyperfine splitting of muonic hydrogen. We use compatible conventions throughout the calculations to derive a consistent set of formulas that…

Atomic Physics · Physics 2013-05-29 Carl E. Carlson , Vahagn Nazaryan , Keith Griffioen

The muonic hydrogen experiment measuring the $2P-2S$ transition energy [R. Pohl {\em et al.}, Nature {\bf 466}, 213 (2010)] is significantly discrepant with theoretical predictions based on quantum electrodynamics. A possible approach to…

High Energy Physics - Phenomenology · Physics 2015-05-27 Krzysztof Pachucki

We calculate the longitudinal structure function of the deuteron up through next-to-next-to-leading order in the framework of pionless effective field theory. We use these results to compute the two-photon polarizability contribution to…

Nuclear Theory · Physics 2020-09-18 Samuel B. Emmons , Chen Ji , Lucas Platter

Recent measurements of the proton radius using the Lamb shift in muonic hydrogen are troublingly discrepant with values extracted from hydrogen spectroscopy and electron-proton scattering experiments. This discrepancy, which differs by more…

High Energy Physics - Phenomenology · Physics 2017-08-08 Yu-Sheng Liu

The spin-averaged structure function of the neutron, F_2^n, is extracted from recent deuteron data, taking into account the small but significant corrections due to nuclear effects in the deuteron. At small x, the F_2D/F_2p ratio measured…

Nuclear Theory · Physics 2010-02-17 W. Melnitchouk , A. W. Thomas

We study the electrodisintegration of deuteron at quasi-elastic kinematics and high transferred momentum as a probe for the short distance structure in nuclei. In this reaction, an electron hits a nucleus of deuterium, which breaks up into…

Nuclear Theory · Physics 2021-08-27 Frank Vera

We propose a theoretical scenario to solve the proton radius puzzle which recently arises from the muonic hydrogen experiment. In this framework, 4 + n dimensional theory is incorporated with modified gravity. The extra gravitational…

High Energy Physics - Phenomenology · Physics 2013-06-27 Li-Bang Wang , Wei-Tou Ni

A long-standing problem of fine-structure anomalies in muonic atoms is revisited by considering the $\Delta 2p$ splitting in muonic $^{90}\mathrm{Zr}$, $^{120}\mathrm{Sn}$ and $^{208}\mathrm{Pb}$ and the $\Delta 3p$ splitting in muonic…

A method for precise calculation of the energy corrections due to second order electric quadrupole interactions, as well as mixed electric quadrupole-vacuum polarization in the framework of the dynamic hyperfine structure in heavy muonic…

Atomic Physics · Physics 2019-04-10 Niklas Michel , Natalia S. Oreshkina

Nucleon structure functions, as measured in lepton-nucleon scattering, have historically provided a critical observable in the study of partonic dynamics within the nucleon. However, at very large parton momenta it is both experimentally…

High Energy Physics - Experiment · Physics 2025-07-30 Debaditya Biswas , Fernando Araiza Gonzalez , William Henry , Abishek Karki , Casey Morean , Sooriyaarachchilage Nadeeshani , Abel Sun , Daniel Abrams , Zafar Ahmed , Bashar Aljawrneh , Sheren Alsalmi , George Ambrose , Whitney Armstrong , Arshak Asaturyan , Kofi Assumin-Gyimah , Carlos Ayerbe Gayoso , Anashe Bandari , Samip Basnet , Vladimir Berdnikov , Hem Bhatt , Deepak Bhetuwal , Werner Boeglin , Peter Bosted , Edward Brash , Masroor Bukhari , Haoyu Chen , Jian-Ping Chen , Mingyu Chen , Michael Eric Christy , Silviu Covrig Dusa , Kayla Craycraft , Samuel Danagoulian , Donal Day , Markus Diefenthaler , Mongi Dlamini , James Dunne , Burcu Duran , Dipangkar Dutta , Rolf Ent , Rory Evans , Howard Fenker , Nadia Fomin , Eric Fuchey , David Gaskell , Thir Narayan Gautam , Jens-Ole Hansen , Florian Hauenstein , A. Hernandez , Tanja Horn , Garth Huber , Mark Jones , Sylvester Joosten , Md Latiful Kabir , Cynthia Keppel , Achyut Khanal , Paul King , Edward Kinney , Michael Kohl , Nathaniel Lashley-Colthirst , Shujie Li , Wenliang Li , Anusha Habarakada Liyanage , David Mack , Simona Malace , Pete Markowitz , John Matter , David Meekins , Robert Michaels , Arthur Mkrtchyan , Hamlet Mkrtchyan , Zae Moore , S. J. Nazeer , Shirsendu Nanda , Gabriel Niculescu , Maria Niculescu , Huong Nguyen , Nuruzzaman Nuruzzaman , Bishnu Pandey , Sanghwa Park , Eric Pooser , Andrew Puckett , Melanie Rehfuss , Joerg Reinhold , Bradley Sawatzky , G. Smith , Holly Szumila-Vance , Arun Tadepalli , Vardan Tadevosyan , Richard Trotta , Stephen Wood , Carlos Yero , Jinlong Zhang

The spectrum of electrons from muons decaying in an atomic bound state is significantly modified by their interaction with the nucleus. Somewhat unexpectedly, its first measurement, at the Canadian laboratory TRIUMF, differed from basic…

High Energy Physics - Phenomenology · Physics 2015-06-22 Andrzej Czarnecki , Matthew Dowling , Xavier Garcia i Tormo , William J. Marciano , Robert Szafron

We consider leading $O(m/M)$ nuclear recoil corrections to the hyperfine splitting in light atomic systems. Due to the singularity of hyperfine interactions, the electromagnetic form factors of the nucleus have to be introduced as a…

Atomic Physics · Physics 2024-01-12 Krzysztof Pachucki

The recent observation of discrepancies in the muonic sector motivates searches for the yet undiscovered atom true muonium $(\mu^+\mu^-)$. To leverage potential experimental signals, precise theoretical calculations are required. I will…

High Energy Physics - Phenomenology · Physics 2018-08-01 Henry Lamm , Yao Ji

The discrepancy between the measured Lamb shift in muonic hydrogen and expectations from electron-proton scattering and regular hydrogen spectroscopy has become known as the proton radius puzzle, whose most "mundane" resolution requires a…

High Energy Physics - Phenomenology · Physics 2017-04-05 Richard J. Hill

The "proton radius puzzle" is the 7-standard-deviations difference of the charge radius of the proton as determined from the Lamb shift in electronic hydrogen and elastic electron scattering off the proton on the one side and the high…

Atomic Physics · Physics 2023-04-17 Thomas Walcher

In 2010 the proton charge radius was extracted for the first time from muonic hydrogen, a bound state of a muon and a proton. The value obtained was five standard deviations away from the regular hydrogen extraction. Taken at face value,…

High Energy Physics - Phenomenology · Physics 2019-09-27 Gil Paz

The simplest atomic nucleus, deuteron, provides key insights into the strong nuclear interactions among quarks and gluons that shape the visible universe. We present the first attempt to calculate the internal structure of the deuteron by…

High Energy Physics - Phenomenology · Physics 2025-07-15 Satvir Kaur , Chandan Mondal , Xingbo Zhao , Chueng-Ryong Ji

The proton radius puzzle questions the self-consistency of theory and experiment in light muonic and electronic bound systems. Here, we summarize the current status of virtual particle models as well as Lorentz-violating models that have…

High Energy Physics - Phenomenology · Physics 2015-07-29 U. D. Jentschura