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

Abstract

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 applications in simple atomic systems. Such comparisons advance the understanding of bound-state quantum electrodynamics and are useful for searching for new physics beyond the Standard Model. The energy levels of muonic atoms are highly susceptible to nuclear structure, especially to the mean square charge radius. The radii of the lightest nuclei (with the atomic number, $Z=1,2$) have been determined with high accuracy using laser spectroscopy in muonic atoms, while those of medium mass and above were determined using X-ray spectroscopy with semiconductor detectors. In this communication, we present a new experiment, aiming to obtain precision measurements of the radii of light nuclei $3\le Z\le 10$ using single-photon energy measurements with cryogenic microcalorimeters; a quantum-sensing technology capable of high efficiency with outstanding resolution for low-energy X-rays.

References in corpus (38)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• The Proton Radius Puzzle
• Nuclear Charge Radii of Be-7,9,10 and the one-neutron halo nucleus Be-11
• The size of the proton - closing in on the radius puzzle
• Proton size anomaly
• Charge Radius of Neutron-deficient ${}^{54}$Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii
• Probing new spin-independent interactions through precision spectroscopy in atoms with few electrons
• Direct Bound-Electron $g$ factor Difference Measurement with Coupled Ions
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Difference in proton radii of mirror nuclei as a possible surrogate for the neutron skin
• Hyperfine structure of Li and Be^+
• The proton radius: From a puzzle to precision
• Information content of the differences in the charge radii of mirror nuclei
• Nuclear Charge Radii of ${}^{10,11}$B
• X-ray energies of circular transitions and electrons screening in kaonic atoms
• The proton radius (puzzle?) and its relatives
• Testing Quantum Electrodynamics with Exotic Atoms
• QED calculations of energy levels of helium-like ions with $5\le Z\le 30$
• Lamb shift in muonic ions of lithium, beryllium and boron
• Proton and neutron skins and symmetry energy of mirror nuclei
• Relativistic calculations of pionic and kaonic atoms hyperfine structure
• Correlations between charge radii differences of mirror nuclei and stellar observables
• Isospin symmetry breaking in the charge radius difference of mirror nuclei
• Robust ab initio prediction of nuclear electric quadrupole observables by scaling to the charge radius
• Imaging-assisted single-photon Doppler-free laser spectroscopy and the ionization energy of metastable triplet helium
• Muonic vs electronic dark forces: a complete EFT treatment for atomic spectroscopy
• High-resolution for IAXO: MMC-based X-ray Detectors
• Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen
• Collinear Laser Spectroscopy of $2{}^3{S}_1\to 2{}^3{P}_J$ transitions in helium-like ${}^{12}{\mathrm{C}}^{4+}$
• QED $m{\alpha }^7$ effects for triplet states of helium-like ions
• The helion charge radius from laser spectroscopy of muonic helium-3 ions
• All-optical Differential Radii in Zinc
• Accurate determination of ${}^{6,7}$Li nuclear magnetic moments
• Collinear laser spectroscopy of highly charged ions produced with an electron beam ion source
• Proton Radius: A Puzzle or a Solution!?
• Impact of the nuclear charge distribution on the g-factors and ground state energies of bound muons
• Muonic-Atom Spectroscopy and Impact on Nuclear Structure and Precision QED Theory
• Muonic Lithium atoms: nuclear structure corrections to the Lamb shift

Cited by in corpus (7)

• Critical evaluation of reference charge radii and applications in mirror nuclei
• The nuclear charge radius of ${}^{13}\mathrm{C}$
• Probing new hadronic forces with heavy exotic atoms
• Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems
• Reexamination of vacuum-polarization corrections to the self-energy in muonic bound systems
• Renormalization group analysis of electromagnetic properties of the deuteron
• Reference Quadrupole Moments of Transition Elements from Lamb Shifts in Muonic Atoms