Abstract
In view of the future plans to measure the Lamb shift in muonic Lithium atoms we address the microscopic theory of the \mu\,μ-^66Li^{2+}2+ and \mu\,μ-^77Li^{2+}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 \muμ-^66Li^{2+}2+ and \mu\,μ-^77Li^{2+}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.
Highlights
Since the discovery of the "proton radius puzzle", light muonic atoms have attracted a lot of attention
New experiments were performed or are being performed. These account for precise measurements of electron-proton at low momentum transfer, e.g., muon-proton scattering experiment (MUSE) being commissioned at PSI [11] and the Proton Radius (PRad) experiment at JLab [12], that recently measured a small radius, consistent with the muonic atom results
In this work we set the first steps towards an ab initio computation of δTPE for muonic Lithium atoms
Summary
Since the discovery of the "proton radius puzzle", light muonic atoms have attracted a lot of attention. New experiments were performed or are being performed These account for precise measurements of electron-proton at low momentum transfer, e.g., muon-proton scattering experiment (MUSE) being commissioned at PSI [11] and the Proton Radius (PRad) experiment at JLab [12], that recently measured a small radius, consistent with the muonic atom results. Results on Helium isotopes will be released in the near future and laser spectroscopy experiments on muonic Lithium and Beryllium are being planned [21] For these experiments to be successful, accurate theoretical information on the nuclear structure corrections to the Lamb shift is needed. The uncertainty related to this terms limits the precision of the charge radius extraction from laser spectroscopy in light muonic atoms. Nuclear structure corrections have been studied by various groups, see, e.g., Refs. [23,24,25,26]
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