Longitudinal form factors of $A\le 10$ nuclei in a chiral effective field theory approach

Abstract

In this work, we present the elastic electron scattering longitudinal form factors of $A\le 10$ nuclei computed in a variational Monte Carlo approach. We employ the Norfolk family of local chiral interactions and a consistent electromagnetic charge operator. Our calculations are compared both to data and past theoretical evaluations. This work represents, to our knowledge, the first exact many-body calculation of longitudinal form factors in the $7\le A\le 10$ mass range. Finally, we identify ${}^9$Be and ${}^{10}$B as candidate targets for renewed experimental interest, as they exhibit the potential to provide more stringent constraints on the theoretical models.

12 pages, 6 figures

References in corpus (22)

• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Minimally non-local nucleon-nucleon potentials with chiral two-pion exchange including $\Delta$'s
• 50 Years of Quantum Chromodynamics
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Electromagnetic two-body currents of one- and two-pion range
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Atomic nuclei from quantum Monte Carlo calculations with chiral EFT interactions
• Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation
• Nuclear electromagnetic currents to fourth order in chiral effective field theory
• Quantum Monte Carlo calculations of electromagnetic transitions in 8Be with meson-exchange currents derived from chiral effective field theory
• Historical perspective and future prospects for nuclear interactions
• Chiral effective theory predictions for deuteron form factor ratios at low Q^2
• Electron scattering form factors from exotic nuclei
• Electron scattering on $\mathbf{A}=3$ nuclei from quantum Monte Carlo based approaches
• Densities and momentum distributions in A <=12 nuclei from chiral effective field theory interactions
• Ab initio calculation of the $\beta$ decay spectrum of ${}^6$He
• Partial muon capture rates in $A=3$ and $A=6$ nuclei with chiral effective field theory
• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Magnetic structure of few-nucleon systems at high momentum transfers in a $\chi$EFT approach
• Quantum Monte Carlo calculations of magnetic form factors in light nuclei
• Magnetic structure of $A\le 10$ nuclei using the Norfolk nuclear models with quantum Monte Carlo methods