Revisiting the helium isotope-shift puzzle with improved uncertainties from nuclear structure corrections

Abstract

Measurements of the difference between the squared charge radii of the helion (${}^3$He nucleus) and the $\alpha$-particle (${}^4$He nucleus) have been characterized by longstanding tensions, recently spotlighted in the 3.6 $\sigma$ discrepancy of the extractions from ordinary atoms versus those from muonic atoms. Here, we present a novel analysis of uncertainties in nuclear structure corrections that must be supplied by theory to enable the extraction of the difference in radii from spectroscopic experiments. We use modern Bayesian inference techniques to quantify uncertainties stemming from the truncation of the chiral effective field theory expansion of the nuclear force for both muonic and ordinary atoms. With the new nuclear structure input, the helium isotope-shift puzzle cannot be explained, rather it is reinforced to a 4 $\sigma$ discrepancy.

arXiv comment5 pages, 3 figures, 2 tables

References in corpus (39)

• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Three-Body Interactions Among Nucleons and Pions
• Benchmark Test Calculation of a Four-Nucleon Bound State
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Local three-nucleon interaction from chiral effective field theory
• Quantifying truncation errors in effective field theory
• New measurement of the $1S-3S$ transition frequency of hydrogen: contribution to the proton charge radius puzzle
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• State Dependent Effective Interaction for the Hyperspherical Formalism
• Frequency metrology in quantum degenerate helium: Direct measurement of the 2 3S1 - 2 1S0 transition
• Frequency metrology of helium around 1083 nm and determination of the nuclear charge radius
• Testing fundamental interactions on the helium atom
• Exploring Bayesian parameter estimation for chiral effective field theory using nucleon-nucleon phase shifts
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Precision spectroscopy of helium in a magic wavelength optical dipole trap
• Nuclear structure corrections in muonic deuterium
• The proton structure in and out of muonic hydrogen
• Complete ${\alpha }^{7}m$ Lamb shift of helium triplet states
• Comprehensive theory of the Lamb shift in light muonic atoms
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• 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
• Nuclear polarizability of helium isotopes in atomic transitions
• Higher-Order Nuclear-Polarizability Corrections in Atomic Hydrogen
• 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
• Higher-order recoil corrections for singlet states of the helium atom
• The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties
• Higher-Order Nuclear-Size Corrections in Atomic Hydrogen
• An efficient method for evaluating energy-dependent sum rules
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H
• Theory of the n=2 levels in muonic helium-3 ions
• Uncertainty quantification in electromagnetic observables of nuclei
• Bayesian analysis of nuclear polarizability corrections to the Lamb shift of muonic H-atoms and He-ions
• Spectral function for ${}^4$He using the Chebyshev expansion in coupled-cluster theory
• Paving the way for fundamental physics tests with singly-ionized helium

Cited by in corpus (5)

• Revised ${}^3$He nuclear charge radius due to electronic hyperfine mixing
• The nuclear charge radius of ${}^{13}\mathrm{C}$
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Quantum science with arrays of metastable helium-3 atoms