Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation

Abstract

Understanding quasielastic electron- and neutrino-scattering from nuclei has taken on new urgency with current and planned neutrino oscillation experiments, and with electron scattering experiments measuring specific final states, such as those involving nucleon pairs in ``back-to-back'' configurations. Accurate many-body methods are available for calculating the response of light ($A\le 12$) nuclei to electromagnetic and weak probes, but they are computationally intensive and only applicable to the inclusive response. In the present work we introduce a novel approach, based on realistic models of nuclear interactions and currents, to evaluate the short-time (high-energy) inclusive and exclusive response of nuclei. The approach accounts reliably for crucial two-nucleon dynamics, including correlations and currents, and provides information on back-to-back nucleons observed in electron and neutrino scattering experiments. We demonstrate that in the quasielastic regime and at moderate momentum transfers both initial- and final-state correlations, and two-nucleon currents are important for a quantitatively successful description of the inclusive response and final state nucleons. Finally, the approach can be extended to include relativistic---kinematical and dynamical---effects, at least approximately in the two-nucleon sector, and to describe the response in the resonance-excitation region.

arXiv comment36 pages, 11 figures

References in corpus (50)

• 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
• Probing Cold Dense Nuclear Matter
• Momentum sharing in imbalanced Fermi systems
• Tensor Forces and the Ground-State Structure of Nuclei
• Inclusive quasi-elastic electron-nucleus scattering
• Short Range Correlations and the EMC Effect
• Deuterium target data for precision neutrino-nucleus cross sections
• Nucleon and nucleon-pair momentum distributions in A <= 12 nuclei
• A new leading contribution to neutrinoless double-beta decay
• Femtometer Toroidal Structures in Nuclei
• Neutrino quasielastic interaction and nuclear dynamics
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Superscaling of Inclusive Electron Scattering from Nuclei
• Hard probes of short-range nucleon-nucleon correlations
• n-p Short-Range Correlations from (p,2p + n) Measurements
• Quantum Monte Carlo calculations of electromagnetic moments and transitions in A <= 9 nuclei with meson-exchange currents derived from chiral effective field theory
• Meson-exchange currents and quasielastic neutrino cross sections in the SuperScaling Approximation model
• Longitudinal and Transverse Quasi-Elastic Response Functions of Light Nuclei
• Axial Vector Form Factors of the Nucleon from Lattice QCD
• A renormalized approach to neutrinoless double-beta decay
• Proton and neutron electromagnetic form factors from lattice QCD
• Charge form factor and sum rules of electromagnetic response functions in Carbon-12
• Electromagnetic response of 12C: a first-principles calculation
• Linear Response on a Quantum Computer
• The two-nucleon electromagnetic charge operator in chiral effective field theory ($\chi$EFT) up to one loop
• Two Particle-Hole Excitations in Charged Current Quasielastic Antineutrino--Nucleus Scattering
• Quantum Monte Carlo calculations of weak transitions in $A$=6--10 nuclei
• Quasielastic and multinucleon excitations in antineutrino-nucleus interactions
• 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
• Neutrinoless double beta decay matrix elements in light nuclei
• Nucleon form factors on a large volume lattice near the physical point in 2+1 flavor QCD
• Neutral weak current two-body contributions in inclusive scattering from ${}^{12}$C
• Ab initio calculation of neutral-current $\nu$-${}^{12}$C inclusive quasielastic scattering
• Nucleon electromagnetic form factors using lattice simulations at the physical point
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• New Results on Short-Range Correlations in Nuclei
• Nucleon Electromagnetic Form Factors in the Continuum Limit from 2+1+1-flavor Lattice QCD
• 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
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• 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
• Comparison between Variational Monte Carlo and Shell Model Calculations of Neutrinoless Double Beta Decay Matrix Elements in Light Nuclei
• Ambiguities in the implementation of the impulse approximation for the response of many-fermion systems
• Two-body currents in inclusive electron scattering
• Zemach moments and radii of 2,3H and 3,4He

Cited by in corpus (31)

• Neutrino Non-Standard Interactions: A Status Report
• Quantum Computing for Neutrino-nucleus Scattering
• Chiral Effective Field Theory Calculations of Weak Transitions in Light Nuclei
• Event Generators for High-Energy Physics Experiments
• Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• 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
• Electron scattering on $\mathbf{A}=3$ nuclei from quantum Monte Carlo based approaches
• Dispersive formalism for the nuclear structure correction ${\delta }_{\mathrm{NS}}$ to the $\beta$ decay rate
• Densities and momentum distributions in A <=12 nuclei from chiral effective field theory interactions
• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Importance sampling for stochastic quantum simulations
• Measurement of inclusive charged-current $ν_{\numu}$ scattering on hydrocarbon at {<Enu>} 6 GeV with low three-momentum transfer
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Recent progress in the electroweak structure of light nuclei using quantum Monte Carlo methods
• Partial muon capture rates in $A=3$ and $A=6$ nuclei with chiral effective field theory
• Quasielastic Electromagnetic Scattering Cross Sections and World Data Comparisons in the {\fontfamily{qcr}\selectfont GENIE} Monte Carlo Event Generator
• Solving reaction dynamics with quantum computing algorithms
• Implementation of a relativistic distorted wave impulse approximation model into the NEUT event generator
• Summary of Workshop on Common Neutrino Event Generator Tools
• Magnetic structure of $A\le 10$ nuclei using the Norfolk nuclear models with quantum Monte Carlo methods
• Scattering Observables from One- and Two-Body Densities: Formalism and Application to $\gamma {}^3$He Scattering
• Nuclear three-body short-range correlations in coordinate space
• Longitudinal form factors of $A\le 10$ nuclei in a chiral effective field theory approach
• Towards a Unified Model of Neutrino-Nucleus Interactions
• Nuclear medium effects in neutrino- and antineutrino-nucleus scattering
• Nuclear two point correlation functions on a quantum-computer
• Quantum Simulation of Nuclear Dynamics in First Quantization
• Unraveling the Flux-Averaged Neutrino-Nucleus Cross Section
• In-Medium Similarity Renormalization Group at Finite Temperature
• A New Generation of Neutrino Cross Section Experiments: Challenges and Opportunities