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.

arXiv comment16 pages, 8 figures

References in corpus (51)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Quantum Monte Carlo methods for nuclear physics
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Nucleon-Nucleon Correlations, Short-lived Excitations, and the Quarks Within
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Momentum sharing in imbalanced Fermi systems
• Inclusive quasi-elastic electron-nucleus scattering
• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Nucleon and nucleon-pair momentum distributions in A <= 12 nuclei
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Electromagnetic structure of A=2 and 3 nuclei and the nuclear current operator
• 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
• Quantum Monte Carlo calculations of electromagnetic moments and transitions in A <= 9 nuclei with meson-exchange currents derived from chiral effective field theory
• Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
• Direct Observation of Proton-Neutron Short-Range Correlation Dominance in Heavy Nuclei
• Electromagnetic response of 12C: a first-principles calculation
• Charge form factor and sum rules of electromagnetic response functions in Carbon-12
• Probing the core of the strong nuclear interaction
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• Exclusive Electro-Disintegration of 3He at high Q2: II. Decay Function Formalism
• Dynamical coupled-channels model for neutrino-induced meson productions in resonance region
• Superscaling in charged current neutrino quasielastic scattering in the relativistic impulse approximation
• Scale and Scheme Independence and Position-Momentum Equivalence of Nuclear Short-Range Correlations
• Quantum Monte Carlo calculations of weak transitions in $A$=6--10 nuclei
• Electromagnetic and neutral-weak response functions of 4He and 12C
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Unified description of electron-nucleus scattering within the spectral function formalism
• Relativistic y-scaling and the Coulomb sum rule in nuclei
• Benchmark calculations of pure neutron matter with realistic nucleon-nucleon interactions
• Neutrino-nucleus cross section within the extended factorization scheme
• Neutrino-nucleus interactions and the determination of oscillation parameters
• Ab initio calculation of neutral-current $\nu$-${}^{12}$C inclusive quasielastic scattering
• Isospin decomposition of $\gamma N\to N^{\ast }$ transitions within a dynamical coupled-channels model
• Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation
• Quantum Monte Carlo calculations of magnetic moments and M1 transitions in A<=7 nuclei including meson-exchange currents
• Electromagnetic transition from the 4${}^{+}$ to 2${}^{+}$ resonance in ${}^8$Be measured via the radiative capture in ${}^4$He+${}^4$He
• Thermal neutron captures on $d$ and ${}^3$He
• Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data
• Energy and momentum dependence of nuclear short-range correlations - Spectral function, exclusive scattering experiments and the contact formalism
• Quantum Monte Carlo calculations of electromagnetic transitions in 8Be with meson-exchange currents derived from chiral effective field theory
• Local chiral interactions and magnetic structure of few-nucleon systems
• Machine learning-based inversion of nuclear responses
• Electroweak pion-production on nuclei within the extended factorization scheme
• Tidal Deformation of Neutron Stars from Microscopic Models of Nuclear Dynamics
• Relativistic effects in ab-initio electron-nucleus scattering
• Comparison of the electromagnetic responses of ${}^{12}$C obtained from the Green's function Monte Carlo and spectral function approaches
• Electromagnetic scaling functions within the Green's Function Monte Carlo approach
• Quasielastic Electromagnetic Scattering Cross Sections and World Data Comparisons in the {\fontfamily{qcr}\selectfont GENIE} Monte Carlo Event Generator
• Quantum Monte Carlo formalism for dynamical pions and nucleons
• Scale Dependence of Nucleon-Nucleon Potentials

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• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Solving reaction dynamics with quantum computing algorithms
• Unleashing the Power of EFT in Neutrino-Nucleus Scattering
• Magnetic structure of $A\le 10$ nuclei using the Norfolk nuclear models with quantum Monte Carlo methods
• Effects of two-body currents in the one-particle one-hole electromagnetic responses within a relativistic model
• Nuclear three-body short-range correlations in coordinate space
• Isospin-symmetry implications for nuclear two-body distributions and short-range correlations
• Longitudinal form factors of $A\le 10$ nuclei in a chiral effective field theory approach
• Signatures of the $\Delta$ isobar in spin observables of ${}^3\mathrm{He}$ electrodisintegration
• A novel measurement of the neutron magnetic form factor from A=3 mirror nuclei
• Quantum Simulation of Nuclear Dynamics in First Quantization