Electron scattering on $\mathbf{A}=3$ nuclei from quantum Monte Carlo based approaches

Abstract

We perform first-principle calculations of electron-nucleus scattering on ${}^3$He and ${}^3$H using the Green's function Monte Carlo method and two approaches based on the factorization of the final hadronic state: the spectral-function formalism and the short-time approximation. These three methods are benchmarked among each other and compared to the experimental data for the longitudinal and transverse electromagnetic response functions of ${}^3$He, and the inclusive cross sections of both ${}^3$He and ${}^3$H. Since these three approaches are based on the same description of nuclear dynamics of the initial target state, comparing their results enables a precise quantification of the uncertainties inherent to factorization schemes. At sufficiently large values of the momentum transfer, we find an excellent agreement of the Green's function Monte Carlo calculation with experimental data and with both the spectral-function formalism and the short-time approximation. We also analyze the relevance of relativistic effects, whose inclusion becomes crucial to explain data at high momentum and energy transfer.

16 pages, 8 figures

References in corpus (10)

• Momentum sharing in imbalanced Fermi systems
• Inclusive quasi-elastic electron-nucleus scattering
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Modified Structure of Protons and Neutrons in Correlated Pairs
• Recent observation of short range nucleon correlations in nuclei and their implications for the structure of nuclei and neutron stars
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Thermal neutron captures on $d$ and ${}^3$He
• Quantum Monte Carlo calculations of electromagnetic transitions in 8Be with meson-exchange currents derived from chiral effective field theory
• Comparison of the electromagnetic responses of ${}^{12}$C obtained from the Green's function Monte Carlo and spectral function approaches
• Scale Dependence of Nucleon-Nucleon Potentials

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