Approximate Treatment of Lepton Distortion in Charged-Current Neutrino Scattering from Nuclei

Abstract

The partial-wave expansion used to treat the distortion of scattered electrons by the nuclear Coulomb field is simpler and considerably less time-consuming when applied to the production of muons and electrons by low and intermediate-energy neutrinos. For angle-integrated cross sections, however, a modification of the "effective-momentum-transfer" approximation seems to work so well that for muons the full distorted-wave treatment is usually unnecessary, even at kinetic energies as low as an MeV and in nuclei as heavy as lead. The method does not work as well for electron production at low energies, but there a Fermi function usually proves adequate. Scattering of electron-neutrinos from muon decay on iodine and of atmospheric neutrinos on iron are discussed in light of these results.

11 pages, LaTeX, submitted to Phys. Rev. C

References in corpus (1)

• Approximate treatment of electron Coulomb distortion in quasielastic (e,e') reactions

Cited by in corpus (50)

• Inclusive Quasi-Elastic Charged-Current Neutrino-Nucleus Reactions
• Neutrino-nucleus reactions and nuclear structure
• Microscopic theories of neutrino-^{12}C reactions
• Measurements of neutrino oscillation parameters from the T2K experiment using $3.6\times 10^{21}$ protons on target
• Recent highlights from GENIE v3
• Low-energy excitations and quasielastic contribution to electron-nucleus and neutrino-nucleus scattering in the continuum random phase approximation
• Shell-model calculations of neutrino scattering from 12C
• Neutrino-nucleus reactions and their role for supernova dynamics and nucleosynthesis
• What Can Be Learned with a Lead-Based Supernova-Neutrino Detector?
• Inclusive Nucleon Emission Induced by Quasi--Elastic Neutrino--Nucleus Interactions
• Inclusive charged-current neutrino-nucleus reactions calculated with the relativistic quasiparticle random phase approximation
• The gallium anomaly revisited
• Neutrino beams as a probe of the nuclear isospin and spin-isospin excitations
• New CC0π GENIE Model Tune for MicroBooNE
• First Measurement of Differential Charged Current Quasielastic-like ${\nu }_{\mu }$-Argon Scattering Cross Sections with the MicroBooNE Detector
• Charged-current neutrino-208Pb reactions
• Neutrino induced reactions related to the $\nu$-process nucleosynthesis of ${}^{92}$Nb and ${}^{98}$Tc
• Impact of low-energy nuclear excitations on neutrino-nucleus scattering at MiniBooNE and T2K kinematics
• Neutrino nucleus cross sections for low energy neutrinos at SNS facilities
• Excitation of nuclear giant resonances in neutrino scattering off nuclei
• Supernova-Neutrino Studies with ${}^{100}$Mo
• Neutrino Induced Charged Current 1${\pi }^{+}$ Production At Intermediate Energies
• Neutrino and antineutrino charge-exchange reactions on 12C
• Nuclear de-excitations in low-energy charged-current ${\nu }_e$ scattering on ${}^{40}$Ar
• Multi-Differential Cross Section Measurements of Muon-Neutrino-Argon Quasielastic-like Reactions with the MicroBooNE Detector
• Neutrino Capture Reactions on ${}^{40}$Ar
• Nucleosynthesis in Supernovae
• Theoretical study of lepton events in the atmospheric neutrino experiments at SuperK
• First Measurement of Inclusive Electron-Neutrino and Antineutrino Charged Current Differential Cross Sections in Charged Lepton Energy on Argon in MicroBooNE
• Modeling quasielastic interactions of monoenergetic kaon decay-at-rest neutrinos
• First double-differential measurement of kinematic imbalance in neutrino interactions with the MicroBooNE detector
• Electron and Muon production cross sections in quasielastic $\nu (\bar{\nu })$-Nucleus scattering for $E_{\nu }<1GeV$
• Forbidden transitions in neutral and charged current interactions between low-energy neutrinos and Argon
• Neutrino mediated muon--electron conversion in nuclei revisited
• Lepton kinematics in low energy neutrino-Argon interactions
• Detecting supernova neutrinos with iron and lead detectors
• $A$-dependence of quasielastic charged-current neutrino-nucleus cross sections
• Inclusive cross section measurements in final states with and without protons for charged-current ${\nu }_{\mu }$-Ar scattering in MicroBooNE
• Low-energy neutrino scattering in experiment and astrophysics
• Neutrino absorption by hot nuclei in supernova environments
• QRAP: a numerical code for projected (Q)uasi-particle (RA)ndom (P)hase approximation
• Neutrino-nucleus cross sections in ${}^{12}C$ and ${}^{40}Ar$ with KDAR neutrinos
• Neutrino-nucleus cross-sections at supernova neutrino energies
• First Detailed Calculation of Atmospheric Neutrino Foregrounds to the Diffuse Supernova Neutrino Background in Super-Kamiokande
• Supernova neutrino detection through neutron emission by nuclei
• First study of neutrino angle reconstruction using quasielastic-like interactions in MicroBooNE
• Nuclear cross sections in ${}^{16}\text{O}$ for $\beta$ beam neutrinos at intermediate energies
• Effect of electronic environment on neutrino-nucleus reactions at r-process sites
• Simulating low-energy neutrino interactions with MARLEY
• Nuclear medium effects in neutrino- and antineutrino-nucleus scattering