Muonic Lithium atoms: nuclear structure corrections to the Lamb shift

Abstract

In view of the future plans to measure the Lamb shift in muonic Lithium atoms we address the microscopic theory of the $\mu$-${}^6$Li${}^{2+}$ and $\mu$-${}^7$Li${}^{2+}$ systems. The goal of the CREMA collaboration is to measure the Lamb shift to extract the charge radius with high precision and compare it to electron scattering data or atomic spectroscopy to see if interesting puzzles, such as the proton and deuteron radius puzzles, arise. For this experiment to be successful, theoretical information on the nuclear structure corrections to the Lamb shift is needed. For $\mu$-${}^6$Li${}^{2+}$ and $\mu$-${}^7$Li${}^{2+}$ there exist only estimates of nuclear structure corrections based on experimental data that suffer from very large uncertainties. We present the first steps towards an ab initio computation of these quantities using few-body techniques.

arXiv commentSubmission to SciPost, 10 pages, 4 figure, Proceedins of the 24th European conference on few-body problems in physics (EFB24) at the University of Surrey, Guildford, United Kingdom, from 2 to 6 September 2019

References in corpus (18)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• High-precision determination of the electric and magnetic form factors of the proton
• Muonic hydrogen and the proton radius puzzle
• Evolution of Nuclear Spectra with Nuclear Forces
• New measurement of the $1S-3S$ transition frequency of hydrogen: contribution to the proton charge radius puzzle
• High Precision Measurement of the Proton Elastic Form Factor Ratio ${\mu }_p{G}_E/G_M$ at low $Q^2$
• The size of the proton - closing in on the radius puzzle
• On the pi pi continuum in the nucleon form factors and the proton radius puzzle
• Total Photoabsorption Cross Sections of A=6 Nuclei with Complete Final State Interaction
• Nuclear structure corrections in muonic deuterium
• Proton Polarizability Contribution: Muonic Hydrogen Lamb Shift and Elastic Scattering
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• Ab initio calculation of Li7 photodisintegration
• Nucleon spin-averaged forward virtual Compton tensor at large $Q^2$
• The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties
• Effect of P-wave interaction in 6He and 6Li photoabsorption
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H

Cited by in corpus (1)

• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei