Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons

Abstract

The ${\bar{\nu }}_e+{}^2\mathrm{H}\to e^{+}+n+n$, ${\nu }_e+{}^2\mathrm{H}\to e^{-}+p+p$, ${\bar{\nu }}_l+{}^2\mathrm{H}\to {\bar{\nu }}_l+{}^2\mathrm{H}$, ${\nu }_l+{}^2\mathrm{H}\to {\nu }_l+{}^2\mathrm{H}$, ${\bar{\nu }}_l+{}^2\mathrm{H}\to {\bar{\nu }}_l+p+n$, ${\nu }_l+{}^2\mathrm{H}\to {\nu }_l+p+n$, ${\bar{\nu }}_e+{}^3\mathrm{He}\to e^{+}+{}^3\mathrm{H}$, ${\bar{\nu }}_l+{}^3\mathrm{He}\to {\bar{\nu }}_l+{}^3\mathrm{He}$, ${\nu }_l+{}^3\mathrm{He}\to {\nu }_l+{}^3\mathrm{He}$, ${\bar{\nu }}_l+{}^3\mathrm{H}\to {\bar{\nu }}_l+{}^3\mathrm{H}$, ${\nu }_l+{}^3\mathrm{H}\to {\nu }_l+{}^3\mathrm{H}$, ${\bar{\nu }}_e+{}^3\mathrm{He}\to e^{+}+n+d$, ${\bar{\nu }}_e+{}^3\mathrm{He}\to e^{+}+n+n+p$, ${\bar{\nu }}_l+{}^3\mathrm{He}\to {\bar{\nu }}_l+p+d$, ${\bar{\nu }}_l+{}^3\mathrm{He}\to {\bar{\nu }}_l+p+p+n$, ${\nu }_l+{}^3\mathrm{H}\to {\nu }_l+n+d$ and ${\nu }_l+{}^3\mathrm{H}\to {\nu }_l+n+n+p$ reactions ($l=e,\mu ,\tau$) are studied consistently in momentum space for (anti)neutrino energies up to 300 MeV. For most of these processes we provide predictions for the total cross sections and in the case of the (anti)neutrino-${}^3$He and (anti)neutrino-${}^3$H inelastic scattering we compute examples of essential response functions, using the AV18 nucleon-nucleon potential and a single-nucleon weak current operator. For the reactions with the deuteron we study relativistic effects in the final state kinematics and compare two-nucleon scattering states obtained in momentum and coordinate spaces. Our results from momentum space are compared with the theoretical predictions by G.Shen et al., Phys. Rev. C 86, 035503 (2012). The observed disagreement can be attributed to the differences in kinematics and in the weak current operator.

31 pages, 18 figures in 49 eps files

References in corpus (21)

• Chiral effective field theory and nuclear forces
• Semilocal momentum-space regularized chiral two-nucleon potentials up to fifth order
• Three-Nucleon Low-Energy Constants from the Consistency of Interactions and Currents in Chiral Effective Field Theory
• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Inclusive quasi-elastic electron-nucleus scattering
• Electromagnetic Currents and Magnetic Moments in $\chi$EFT
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Electromagnetic two-body currents of one- and two-pion range
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Four-nucleon force using the method of unitary transformation
• Neutrino Breakup of A=3 Nuclei in Supernovae
• Muon capture on deuteron and 3He
• Low-Energy Inelastic Neutrino Reactions on 4He
• Poincaré Invariant Three-Body Scattering at Intermediate Energies
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• Mini review of Poincaré invariant quantum theory
• Signatures of the chiral two-pion exchange electromagnetic currents in the 2H and 3He photodisintegration reactions
• Break-up channels in muon capture on 3He
• The chiral long-range two-pion exchange electromagnetic currents in radiative nucleon-deuteron capture
• Muon capture on deuteron and the neutron-neutron scattering length
• Relativistic Formulation of Reaction Theory

Cited by in corpus (8)

• Machine learning-based inversion of nuclear responses
• Neutrino-deuteron scattering: Uncertainty quantification and new $L_{1,A}$ constraints
• From response functions to cross sections in neutrino scattering off the deuteron and trinucleons
• Radiative pion capture in 2H, 3He and 3H
• Applications of the chiral potential with the semi-local regularization in momentum space to the disintegration processes
• Electron and neutrino scattering off the deuteron in a relativistic framework
• Observability of modified threshold behavior near unitarity
• Pion absorption from the lowest atomic orbital in 2H, 3H and 3He