Quantum Monte Carlo calculations of magnetic form factors in light nuclei

Abstract

We present Quantum Monte Carlo calculations of magnetic form factors in $A=6-10$ nuclei, based on Norfolk two- and three-nucleon interactions, and associated one- and two-body electromagnetic currents. Agreement with the available experimental data for ${}^6$Li, ${}^7$Li, ${}^9$Be and ${}^{10}$B up to values of momentum transfer $q\sim 3$ fm${}^{-1}$ is achieved when two-nucleon currents are accounted for. We present a set of predictions for the magnetic form factors of ${}^7$Be, ${}^8$Li, ${}^9$Li, and ${}^9$C. In these systems, two-body currents account for $\sim 40-60\%$ of the total magnetic strength. Measurements in any of these radioactive systems would provide valuable insights on the nuclear magnetic structure emerging from the underlying many-nucleon dynamics. A particularly interesting case is that of ${}^7$Be, as it would enable investigations of the magnetic structure of mirror nuclei.

arXiv comment5 pages, 3 figures, 1 table

References in corpus (57)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Modern Theory of Nuclear Forces
• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Accurate nuclear radii and binding energies from a chiral interaction
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Improved chiral nucleon-nucleon potential up to next-to-next-to-next-to-leading order
• Design and Construction of the MicroBooNE Detector
• Constraint on the Matter-Antimatter Symmetry-Violating Phase in Neutrino Oscillations
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• First measurement of neutrino oscillation parameters using neutrinos and antineutrinos by NOvA
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Toward the discovery of matter creation with neutrinoless double-beta decay
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• Design, Calibration, and Performance of the MINERvA Detector
• 50 Years of Quantum Chromodynamics
• Saturation with chiral interactions and consequences for finite nuclei
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• 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
• Light-nuclei spectra from chiral dynamics
• Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Coarse grained Potential analysis of neutron-proton and proton-proton scattering below pion production threshold
• Quantum Monte Carlo calculations of electromagnetic moments and transitions in A <= 9 nuclei with meson-exchange currents derived from chiral effective field theory
• A renormalized approach to neutrinoless double-beta decay
• Two-nucleon electromagnetic current in chiral effective field theory: one-pion exchange and short-range contributions
• Electromagnetic structure of A=2 and 3 nuclei in chiral effective field theory
• Electromagnetic two-body currents of one- and two-pion range
• Auxiliary field diffusion Monte Carlo calculations of light and medium-mass nuclei with local chiral interactions
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• Statistical Error analysis of Nucleon-Nucleon phenomenological potentials
• Nuclear axial current operators to fourth order in chiral effective field theory
• Quantum Monte Carlo calculations of light nuclei with local chiral two- and three-nucleon interactions
• Local chiral interactions, the tritium Gamow-Teller matrix element, and the three-nucleon contact term
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Neutrinoless double beta decay matrix elements in light nuclei
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Microscopic calculation of 6Li elastic and transition form factors
• Coarse grained NN potential with Chiral Two Pion Exchange
• Systematics of E2 strength in the sd-shell with the valence-space in-medium similarity renormalization group
• Nuclear electromagnetic currents to fourth order in chiral effective field theory
• Up-to N${}^3$LO heavy-baryon chiral perturbation theory calculation for the M1 properties of three-nucleon systems
• Quantum Monte Carlo calculations of electromagnetic transitions in 8Be with meson-exchange currents derived from chiral effective field theory
• Chiral effective theory predictions for deuteron form factor ratios at low Q^2
• Local chiral interactions and magnetic structure of few-nucleon systems
• Historical perspective and future prospects for nuclear interactions
• Impact of two-body currents on magnetic dipole moments of nuclei
• Deuteron form factors in chiral effective theory: regulator-independent results and the role of two-pion exchange
• The magnetic form factor of the deuteron in chiral effective field theory
• Dispersive formalism for the nuclear structure correction ${\delta }_{\mathrm{NS}}$ to the $\beta$ decay rate
• Magnetic structure of few-nucleon systems at high momentum transfers in a $\chi$EFT approach
• Electromagnetic moments of the antimony isotopes ${}^{112-133}$Sb
• Magnetic structure of $A\le 10$ nuclei using the Norfolk nuclear models with quantum Monte Carlo methods
• Magnetic moments of $A=3$ nuclei with chiral effective field theory operators

Cited by in corpus (4)

• Magnetic structure of $A\le 10$ nuclei using the Norfolk nuclear models with quantum Monte Carlo methods
• Longitudinal form factors of $A\le 10$ nuclei in a chiral effective field theory approach
• Two-body currents at finite momentum transfer and applications to M1 transitions
• Efficient emulation of nuclear ground states with neural-network variational Monte Carlo and eigenvector continuation