Lepton scattering from ${}^{40}$Ar and ${}^{48}$Ti in the quasielastic peak region

Abstract

Neutron and proton spectral functions of ${}^{40}$Ar, ${}^{40}$Ca, and ${}^{48}$Ti isotopes are computed using the ab initio self-consistent Green's function approach. The resulting radii and charge distributions are in good agreement with available experimental data. The spectral functions of Ar and Ti are then utilized to calculate inclusive ($e$,$e$') cross sections within a factorization scheme and are found to correctly reproduce the recent Jefferson Lab measurements. Based on these successful agreements, the weak charged and neutral current double-differential cross sections for neutrino-${}^{40}$Ar scattering are predicted in the quasielastic region. Results obtained by replacing the (experimentally inaccessible) neutron spectral distribution of ${}^{40}$Ar with the (experimentally accessible) proton distribution of ${}^{48}$Ti are compared and the accuracy of this approximation is assessed.

arXiv comment6 pages, 4 figures; Replaced with published version

References in corpus (36)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Accurate nuclear radii and binding energies from a chiral interaction
• Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment
• First Measurement of the Muon Neutrino Charged Current Quasielastic Double Differential Cross Section
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Charge, neutron, and weak size of the atomic nucleus
• A Proposal for a Three Detector Short-Baseline Neutrino Oscillation Program in the Fermilab Booster Neutrino Beam
• Long-Baseline Neutrino Facility (LBNF) and Deep Underground Neutrino Experiment (DUNE) Conceptual Design Report Volume 2: The Physics Program for DUNE at LBNF
• Nuclear forces and their impact on neutron-rich nuclei and neutron-rich matter
• Electron- and neutrino-nucleus scattering in the impulse approximation regime
• Measurement of Muon Neutrino Quasi-Elastic Scattering on Carbon
• Using Electron Scattering Superscaling to predict Charge-changing Neutrino Cross Sections in Nuclei
• Ab-initio Gorkov-Green's function calculations of open-shell nuclei
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - I. Formalism at second order with a two-nucleon interaction
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Improving the accuracy of neutrino energy reconstruction in charged-current quasielastic scattering off nuclear targets
• Ab-initio self-consistent Gorkov-Green's function calculations of semi-magic nuclei - II. Numerical implementation at second order with a two-nucleon interaction
• Unified description of electron-nucleus scattering within the spectral function formalism
• Ab initio calculation of the potential bubble nucleus ${}^{34}$Si
• Neutrino-nucleus cross section within the extended factorization scheme
• Neutrino-nucleus interactions and the determination of oscillation parameters
• Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
• Inclusive electron scattering in a relativistic Green function approach
• First Measurement of the Ti$(e,e^{\prime })\mathrm{X}$ Cross Section at Jefferson Lab
• Impact of nuclear effects on the determination of the nucleon axial mass
• First Measurement of the Ar$(e,e^{\prime })X$ Cross Section at Jefferson Lab
• Final state interactions in the nuclear response at large momentum transfer
• Inclusive electron-nucleus cross section within the Self Consistent Green's Function approach
• Effects of nuclear correlations on the ${}^{16}$O$(e,e^{\prime }pN)$ reactions to discrete final states
• Measurement of the cross sections for inclusive electron scattering in the E12-14-012 experiment at Jefferson Lab
• Effects of Rescattering in (e,e'p) Reactions within a Semiclassical Model
• Spin Response and Neutrino Emissivity of Dense Neutron Matter
• Effect of kinematics on final state interactions in (e,e'p) reactions
• Elastic and quasi-elastic electron scattering on the N = 14, 20, and 28 isotonic chains
• On the treatment of the $\Delta$-contribution in electromagnetic $pp$-knockout reactions
• Final state interactions in electron scattering at high missing energies and momenta

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• 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
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• Implementation of a relativistic distorted wave impulse approximation model into the NEUT event generator
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• Multinucleon excitations in neutrino-nucleus scattering: connecting different microscopic models for the correlations
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