Electron and neutrino scattering off the deuteron in a relativistic framework

Abstract

We build a relativistic model to perform calculations of exclusive, semi-exclusive and inclusive unpolarized cross sections and various polarization observables in electron and neutrino scattering experiments with deuteron targets. The strong interaction dynamics is defined by an explicit dynamical unitary representation of the Poincaré group, where representations of space translations and rotations in the interacting and non-interacting representations are the same. The Argonne V18 potential is used to construct a relativistic nucleon-nucleon interaction reproducing the experimental deuteron binding energy and nucleon-nucleon scattering observables. Our formalism does not include the pion production channel and neglects two-body contributions in the electromagnetic as well as in the weak nuclear current operator. We show that it is applicable to processes at kinematics, where the internal two-nucleon energy remains below the pion production threshold but the magnitude of the three-momentum transfer extends at least to several GeV.

59 pages, 29 figures

References in corpus (7)

• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Relativity and the low energy nd Ay puzzle
• Realistic two-nucleon potentials for the relativistic two-nucleon Schroedinger equation
• Deuteron tensor polarization component T_20(Q^2) as a crucial test for deuteron wave functions
• Exchange current contributions in null-plane quantum models of elastic electron deuteron scattering
• Beam-target double spin asymmetry in quasi-elastic electron scattering off the deuteron with CLAS
• Measurements of the electron-helicity asymmetry in the quasi-elastic $\mathrm{A}(\vec{e},e^{\prime }p)$ process