Zemach moments and radii of 2,3H and 3,4He

Abstract

We present benchmark calculations of Zemach moments and radii of 2,3H and 3,4He using various few-body methods. Zemach moments are required to interpret muonic atom data measured by the CREMA collaboration at the Paul Scherrer Institute. Conversely, radii extracted from spectroscopic measurements can be compared with ab initio computations, posing stringent constraints on the nuclear model. For a given few-body method, different numerical procedures can be applied to compute these quantities. A detailed analysis of the numerical uncertainties entering the total theoretical error is presented. Uncertainties from the few-body method and the calculational procedure are found to be smaller than the dependencies on the dynamical modeling and the single nucleon inputs, which are found to be <= 2%. When relativistic corrections and two-body currents are accounted for, the calculated moments and radii are in very good agreement with the available experimental data.

arXiv comment11 pages, 2 figures

References in corpus (45)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Theory of Light Hydrogenlike Atoms
• Realistic models of pion-exchange three-nucleon interactions
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Muonic hydrogen and the proton radius puzzle
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Local three-nucleon interaction from chiral effective field theory
• New measurement of the $1S-3S$ transition frequency of hydrogen: contribution to the proton charge radius puzzle
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• Lamb Shift in Light Muonic Atoms - Revisited
• Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory
• Electromagnetic two-body currents of one- and two-pion range
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• State Dependent Effective Interaction for the Hyperspherical Formalism with Noncentral Forces
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Zemach Moments for Hydrogen and Deuterium
• Nuclear structure corrections in muonic deuterium
• Nuclear structure contribution to the Lamb shift in muonic deuterium
• Electromagnetic Structure of Few-Nucleon Ground States
• Variational Calculation on A=3 and 4 Nuclei with Non-Local Potentials
• Solution of n-${}^4$He elastic scattering problem using Faddeev-Yakubovsky equations
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• Deuteron charge radius and Rydberg constant from spectroscopy data in atomic deuterium
• Nuclear structure effects in light muonic atoms
• Improved estimates of the nuclear structure corrections in $\mu$D
• Nuclear Polarization Corrections to mu-d Atoms in Zero-Range Approximation
• Ab initio calculation of nuclear structure corrections in muonic atoms
• Zemach moments of 3He and 4He
• Theory of the Lamb shift and Fine Structure in muonic ${}^4\mathrm{He}$ ions and the muonic ${}^3\mathrm{He}{-}^4\mathrm{He}$ Isotope Shift
• The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties
• Nuclear Corrections to Hyperfine Structure in Light Hydrogenic Atoms
• Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H
• An efficient method for evaluating energy-dependent sum rules
• Benchmark calculation of p-3H and n-3He scattering
• Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
• The magnetic form factor of the deuteron in chiral effective field theory
• Theory of the n=2 levels in muonic helium-3 ions

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• Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation
• High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory
• Ab initio calculation of the $\beta$ decay spectrum of ${}^6$He
• Probing uncertainties of nuclear structure corrections in light muonic atoms
• Quasielastic Electromagnetic Scattering Cross Sections and World Data Comparisons in the {\fontfamily{qcr}\selectfont GENIE} Monte Carlo Event Generator
• Nuclear polarizability effects in ${}^3$He${}^{+}$ hyperfine splitting