Uncertainty quantification in electromagnetic observables of nuclei

Abstract

We present strategies to quantify theoretical uncertainties in modern ab-initio calculations of electromagnetic observables in light and medium-mass nuclei. We discuss how uncertainties build up from various sources, such as the approximations introduced by the few- or many-body solver and the truncation of the chiral effective field theory expansion. We review the recent progress encompassing a broad range of electromagnetic observables in stable and unstable nuclei.

arXiv comment17 pages, 6 figures

References in corpus (51)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• One percent determination of the primordial deuterium abundance
• Accurate nuclear radii and binding energies from a chiral interaction
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• An optimized chiral nucleon-nucleon interaction at next-to-next-to-leading order
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Chiral Three-Nucleon Interactions in Light Nuclei, Neutron-$\alpha$ Scattering, and Neutron Matter
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• Local chiral effective field theory interactions and quantum Monte Carlo applications
• Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Response Functions from Integral Transforms with a Lorentz Kernel
• Electric Dipole Polarizability in ${}^{208}$Pb: insights from the Droplet Model
• Quantifying Correlated Truncation Errors in Effective Field Theory
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• State Dependent Effective Interaction for the Hyperspherical Formalism
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Local chiral potentials and the structure of light nuclei
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Nuclear forces with Delta-excitations up to next-to-next-to-leading order I: peripheral nucleon-nucleon waves
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Effective Field Theory for Dilute Fermi Systems
• A recipe for EFT uncertainty quantification in nuclear physics
• Electromagnetic two-body currents of one- and two-pion range
• Delta isobars and nuclear saturation
• Primordial Deuterium after LUNA: concordances and error budget
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• First principles description of the giant dipole resonance in 16O
• Delta-excitations and the three-nucleon force
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• alpha-particle photoabsorption with a realistic nuclear force
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• Ab-initio computation of neutron-rich oxygen isotopes
• The ${}^4$He total photo-absorption cross section with two- plus three-nucleon interactions from chiral effective field theory
• Electric dipole polarizability from first principles calculations
• Nuclear Currents in Chiral Effective Field Theory
• Systematics of E2 strength in the sd-shell with the valence-space in-medium similarity renormalization group
• Two-body Photodisintegration of ${}^4$He with Full Final State Interaction
• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• Is there a Pronounced Giant Dipole Resonance in ^4He?
• Ab initio calculation of nuclear structure corrections in muonic atoms
• Inclusive electron scattering off 4He
• Neutrino-deuteron scattering: Uncertainty quantification and new $L_{1,A}$ constraints
• Ab-initio coupled-cluster calculations of ground and dipole excited states in 8He
• Total 4He Photoabsorption Cross Section Revisited: Correlated HH versus Effective Interaction HH
• Incorporation of three-nucleon force in the effective interaction hyperspherical harmonic approach
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory

Cited by in corpus (8)

• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Electromagnetic observables of open-shell nuclei from coupled-cluster theory
• Diagrammatic ab initio methods for infinite nuclear matter with modern chiral interactions
• Revisiting the helium isotope-shift puzzle with improved uncertainties from nuclear structure corrections
• Perspectives on few-body cluster structures in exotic nuclei
• Direct ab initio calculation of the ${}^4$He nuclear electric dipole polarizability
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei
• Renormalization group analysis of electromagnetic properties of the deuteron