Neutrino Induced Charged Current 1${\pi }^{+}$ Production At Intermediate Energies

Abstract

The charged current one pion production induced by ${\nu }_{\mu }$ from nucleons and nuclei like ${}^{12}$C and ${}^{16}$O nuclei has been studied. The calculations have been done for the incoherent and the coherent processes from nuclear targets assuming the $\Delta$ dominance model and take into account the effect of Pauli blocking, Fermi motion of the nucleon and renormalization of $\Delta$ properties in a nuclear medium. The effect of final state interactions of pions has been taken into account. The theoretical uncertainty in the total cross sections due to various parameterizations of the weak transition form factors used in literature has been studied. The numerical results for the total cross sections are compared with the recent preliminary results from the MiniBooNE collaboration on ${}^{12}$C and could be useful in analyzing future data from the K2K collaboration.

10 pages, 6 figures, 1 table

References in corpus (5)

• Resonance production by neutrinos: The second resonance region
• ${\nu }_{\mu }$ disappearance at the SPL, T2K-I, NO$\nu$A and the Neutrino Factory
• Theoretical uncertainties on quasielastic charged-current neutrino-nucleus cross sections
• Charged Lepton Production from Iron Induced by Atmospheric Neutrinos
• Nuclear cross sections in ${}^{16}\text{O}$ for $\beta$ beam neutrinos at intermediate energies

Cited by in corpus (9)

• One pion production in neutrino reactions: including non-resonant background
• Impact of nuclear effects on the determination of the nucleon axial mass
• Neutrino induced pion production at MiniBooNE and K2K
• Pion production within the hybrid relativistic plane wave impulse approximation model at MiniBooNE and MINERvA kinematics
• On Recent Weak Single Pion Production Data
• Charged current anti-neutrino reactions from ${}^{12}$C at MiniBooNE energies
• Neutrino-nucleus cross sections in ${}^{12}C$ and ${}^{40}Ar$ with KDAR neutrinos
• Angular distributions in Monte Carlo event generation of weak single-pion production
• Towards a more complete description of nucleon distortion in lepton-induced single-pion production at low-$Q^2$