Relativistic effects in ab-initio electron-nucleus scattering

Abstract

The electromagnetic responses obtained from Green's function Monte Carlo (GFMC) calculations are based on realistic treatments of nuclear interactions and currents. The main limitations of this method comes from its nonrelativistic nature and its computational cost, the latter hampering the direct evaluation of the inclusive cross sections as measured by experiments. We extend the applicability of GFMC in the quasielastic region to intermediate momentum transfers by performing the calculations in a reference frame that minimizes nucleon momenta. Additional relativistic effects in the kinematics are accounted for employing the two-fragment model. In addition, we developed a novel algorithm, based on the concept of first-kind scaling, to compute the inclusive electromagnetic cross section of ${}^4$He through an accurate and reliable interpolation of the response functions. A very good agreement is obtained between theoretical and experimental cross sections for a variety of kinematical setups. This offers a promising prospect for the data analysis of neutrino-oscillation experiments that requires an accurate description of nuclear dynamics in which relativistic effects are fully accounted for.

10 pages, 7 figures

References in corpus (8)

• Three-body forces: From cold atoms to nuclei
• The Lorentz Integral Transform (LIT) method and its applications to perturbation induced reactions
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Ab initio calculation of neutral-current $\nu$-${}^{12}$C inclusive quasielastic scattering
• Role of final state interaction and of three-body force on the longitudinal response function of 4He
• Comparison of the electromagnetic responses of ${}^{12}$C obtained from the Green's function Monte Carlo and spectral function approaches
• Frame dependence of 3He transverse (e,e') response functions at intermediate momentum transfers
• Transverse electron scattering response function of ${}^3$He with $\Delta$-isobar degrees of freedom

Cited by in corpus (9)

• Quantum Simulation for High Energy Physics
• Quantum Monte Carlo Methods in Nuclear Physics: Recent Advances
• Neutrino-nucleus cross section within the extended factorization scheme
• Ab initio computation of the longitudinal response function in ${}^{40}$Ca
• Electron scattering on $\mathbf{A}=3$ nuclei from quantum Monte Carlo based approaches
• ${}^{40}$Ca transverse response function from coupled-cluster theory
• Quasielastic Electromagnetic Scattering Cross Sections and World Data Comparisons in the {\fontfamily{qcr}\selectfont GENIE} Monte Carlo Event Generator
• Data based two-body current contribution to neutrino-nucleus cross section
• Spectral function for ${}^4$He using the Chebyshev expansion in coupled-cluster theory