The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy

Abstract

Muonic atom transitions have been measured for almost all stable nuclei to extract nuclear structure properties, including nuclear charge radii and quadrupole moment. To investigate the possibilities of extracting higher-order radial moments of nuclear charge density %what kind of information of nuclear charge distribution can be extracted precisely from muonic atom spectroscopy, a theory-to-theory benchmark analysis based on a model-independent density distribution, i.e., the Fourier-Bessel series expansion instead of two-parameter Fermi distribution, is performed by taking ${}^{208}$Pb as an example, where nuclear charge density obtained from the relativistic continuum Hartree-Bogoliubov calculation is used as the benchmark. It is found that the extractions of the higher-order moments, i.e., the fourth and sixth moments in addition to the second moment are feasible with high accuracy. Moreover, the charge form factor in the low-$q$ region can also be well extracted.

8 pages, 4 figures

References in corpus (19)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Progress on tilted axis cranking covariant density functional theory for nuclear magnetic and antimagnetic rotation
• Charge radii of exotic potassium isotopes challenge nuclear theory and the magic character of $N=32$
• Global study of beyond-mean-field correlation energies in covariant energy density functional theory using a collective Hamiltonian method
• Nuclear charge densities in spherical and deformed nuclei: towards precise calculations of charge radii
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Measurement of the neutron charge radius and the role of its constituents
• Changes in nuclear structure along the Mn isotopic chain studied via charge radii
• One-pion exchange current corrections for nuclear magnetic moments in relativistic mean field theory
• Comparative study on charge radii and their kinks at magic numbers
• Covariant density functional analysis of shape evolution in $N=40$ isotones
• Theoretical prediction of the Fine and Hyperfine structure of heavy muonic atoms
• Finite-nuclear-size effect in hydrogen-like ions with relativistic nuclear structure
• Revisiting the extraction of charge radii of ${}^{40}$Ca and ${}^{208}$Pb with muonic atom spectroscopy
• Pseudospin Symmetry: Microscopic origin of the ground-state inversion in neutron-rich odd-A Cu isotopes
• Connecting spatial moments and momentum densities

Cited by in corpus (3)

• Global prediction of nuclear charge density distributions using deep neural network
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• Predictions of charge density distributions for nuclei with $Z\ge 8$